---
_id: '61276'
author:
- first_name: Christian
  full_name: Fuchs, Christian
  id: '21863'
  last_name: Fuchs
  orcid: 0000-0003-0589-4579
citation:
  ama: 'Fuchs C. <i>INNOVADE Press Release: INNOVADE Publishes an Interdisciplinary
    Knowledge Base on Digital Democracy</i>. LibreCat University; 2025. doi:<a href="https://doi.org/10.5281/ZENODO.17119943">10.5281/ZENODO.17119943</a>'
  apa: 'Fuchs, C. (2025). <i>INNOVADE Press Release: INNOVADE publishes an Interdisciplinary
    Knowledge Base on Digital Democracy</i>. LibreCat University. <a href="https://doi.org/10.5281/ZENODO.17119943">https://doi.org/10.5281/ZENODO.17119943</a>'
  bibtex: '@book{Fuchs_2025, title={INNOVADE Press Release: INNOVADE publishes an
    Interdisciplinary Knowledge Base on Digital Democracy}, DOI={<a href="https://doi.org/10.5281/ZENODO.17119943">10.5281/ZENODO.17119943</a>},
    publisher={LibreCat University}, author={Fuchs, Christian}, year={2025} }'
  chicago: 'Fuchs, Christian. <i>INNOVADE Press Release: INNOVADE Publishes an Interdisciplinary
    Knowledge Base on Digital Democracy</i>. LibreCat University, 2025. <a href="https://doi.org/10.5281/ZENODO.17119943">https://doi.org/10.5281/ZENODO.17119943</a>.'
  ieee: 'C. Fuchs, <i>INNOVADE Press Release: INNOVADE publishes an Interdisciplinary
    Knowledge Base on Digital Democracy</i>. LibreCat University, 2025.'
  mla: 'Fuchs, Christian. <i>INNOVADE Press Release: INNOVADE Publishes an Interdisciplinary
    Knowledge Base on Digital Democracy</i>. LibreCat University, 2025, doi:<a href="https://doi.org/10.5281/ZENODO.17119943">10.5281/ZENODO.17119943</a>.'
  short: 'C. Fuchs, INNOVADE Press Release: INNOVADE Publishes an Interdisciplinary
    Knowledge Base on Digital Democracy, LibreCat University, 2025.'
date_created: 2025-09-15T14:47:05Z
date_updated: 2026-04-17T05:07:50Z
department:
- _id: '136'
- _id: '11'
doi: 10.5281/ZENODO.17119943
project:
- _id: '1397'
  name: INNOVAtive DEmocracy Through Digitalisation
publisher: LibreCat University
status: public
title: 'INNOVADE Press Release: INNOVADE publishes an Interdisciplinary Knowledge
  Base on Digital Democracy'
type: research_data
user_id: '21863'
year: '2025'
...
---
_id: '60207'
author:
- first_name: Julian
  full_name: Kanning, Julian
  id: '3705'
  last_name: Kanning
citation:
  ama: Kanning J. <i>Jugendliteratur über Genozid lesen. Beitrag zu einer postmigrantischen
    Erinnerungskultur</i>. Springer VS
  apa: Kanning, J. (n.d.). <i>Jugendliteratur über Genozid lesen. Beitrag zu einer
    postmigrantischen Erinnerungskultur</i>. Springer VS.
  bibtex: '@book{Kanning, place={Wiesbaden}, series={Holocaust Education – Historisches
    Lernen – Menschenrechtsbildung}, title={Jugendliteratur über Genozid lesen. Beitrag
    zu einer postmigrantischen Erinnerungskultur}, publisher={Springer VS}, author={Kanning,
    Julian}, collection={Holocaust Education – Historisches Lernen – Menschenrechtsbildung}
    }'
  chicago: 'Kanning, Julian. <i>Jugendliteratur über Genozid lesen. Beitrag zu einer
    postmigrantischen Erinnerungskultur</i>. Holocaust Education – Historisches Lernen
    – Menschenrechtsbildung. Wiesbaden: Springer VS, n.d.'
  ieee: 'J. Kanning, <i>Jugendliteratur über Genozid lesen. Beitrag zu einer postmigrantischen
    Erinnerungskultur</i>. Wiesbaden: Springer VS.'
  mla: Kanning, Julian. <i>Jugendliteratur über Genozid lesen. Beitrag zu einer postmigrantischen
    Erinnerungskultur</i>. Springer VS.
  short: J. Kanning, Jugendliteratur über Genozid lesen. Beitrag zu einer postmigrantischen
    Erinnerungskultur, Springer VS, Wiesbaden, n.d.
date_created: 2025-06-14T06:04:16Z
date_updated: 2026-04-17T08:14:09Z
language:
- iso: ger
page: ca. 310
place: Wiesbaden
publication_status: inpress
publisher: Springer VS
series_title: Holocaust Education – Historisches Lernen – Menschenrechtsbildung
status: public
title: Jugendliteratur über Genozid lesen. Beitrag zu einer postmigrantischen Erinnerungskultur
type: habilitation
user_id: '3705'
year: '2025'
...
---
_id: '61277'
author:
- first_name: Christian
  full_name: Fuchs, Christian
  id: '21863'
  last_name: Fuchs
  orcid: 0000-0003-0589-4579
citation:
  ama: Fuchs C. <i>INNOVADE Interdisciplinary Knowledge Base on Digital Democracy
    - D2.1 (DRAFT)</i>. LibreCat University; 2025. doi:<a href="https://doi.org/10.5281/ZENODO.17079016">10.5281/ZENODO.17079016</a>
  apa: Fuchs, C. (2025). <i>INNOVADE Interdisciplinary Knowledge Base on Digital Democracy
    - D2.1 (DRAFT)</i>. LibreCat University. <a href="https://doi.org/10.5281/ZENODO.17079016">https://doi.org/10.5281/ZENODO.17079016</a>
  bibtex: '@book{Fuchs_2025, title={INNOVADE Interdisciplinary Knowledge Base on Digital
    Democracy - D2.1 (DRAFT)}, DOI={<a href="https://doi.org/10.5281/ZENODO.17079016">10.5281/ZENODO.17079016</a>},
    publisher={LibreCat University}, author={Fuchs, Christian}, year={2025} }'
  chicago: Fuchs, Christian. <i>INNOVADE Interdisciplinary Knowledge Base on Digital
    Democracy - D2.1 (DRAFT)</i>. LibreCat University, 2025. <a href="https://doi.org/10.5281/ZENODO.17079016">https://doi.org/10.5281/ZENODO.17079016</a>.
  ieee: C. Fuchs, <i>INNOVADE Interdisciplinary Knowledge Base on Digital Democracy
    - D2.1 (DRAFT)</i>. LibreCat University, 2025.
  mla: Fuchs, Christian. <i>INNOVADE Interdisciplinary Knowledge Base on Digital Democracy
    - D2.1 (DRAFT)</i>. LibreCat University, 2025, doi:<a href="https://doi.org/10.5281/ZENODO.17079016">10.5281/ZENODO.17079016</a>.
  short: C. Fuchs, INNOVADE Interdisciplinary Knowledge Base on Digital Democracy
    - D2.1 (DRAFT), LibreCat University, 2025.
date_created: 2025-09-15T14:48:38Z
date_updated: 2026-04-17T05:07:43Z
department:
- _id: '136'
- _id: '11'
doi: 10.5281/ZENODO.17079016
project:
- _id: '1397'
  name: INNOVAtive DEmocracy Through Digitalisation
publisher: LibreCat University
status: public
title: INNOVADE Interdisciplinary Knowledge Base on Digital Democracy - D2.1 (DRAFT)
type: research_data
user_id: '21863'
year: '2025'
...
---
_id: '58606'
article_type: original
author:
- first_name: Albert
  full_name: Mathew, Albert
  last_name: Mathew
- first_name: Rebecca
  full_name: Aschwanden, Rebecca
  last_name: Aschwanden
- first_name: Aditya
  full_name: Tripathi, Aditya
  last_name: Tripathi
- first_name: Piyush
  full_name: Jangid, Piyush
  last_name: Jangid
- first_name: Basudeb
  full_name: Sain, Basudeb
  last_name: Sain
- first_name: Thomas
  full_name: Zentgraf, Thomas
  id: '30525'
  last_name: Zentgraf
  orcid: 0000-0002-8662-1101
- first_name: Sergey
  full_name: Kruk, Sergey
  last_name: Kruk
citation:
  ama: Mathew A, Aschwanden R, Tripathi A, et al. Nonreciprocal Metasurfaces with
    Epsilon-Near-Zero Materials. <i>Nano Letters</i>. Published online 2025. doi:<a
    href="https://doi.org/10.1021/acs.nanolett.4c06188">10.1021/acs.nanolett.4c06188</a>
  apa: Mathew, A., Aschwanden, R., Tripathi, A., Jangid, P., Sain, B., Zentgraf, T.,
    &#38; Kruk, S. (2025). Nonreciprocal Metasurfaces with Epsilon-Near-Zero Materials.
    <i>Nano Letters</i>. <a href="https://doi.org/10.1021/acs.nanolett.4c06188">https://doi.org/10.1021/acs.nanolett.4c06188</a>
  bibtex: '@article{Mathew_Aschwanden_Tripathi_Jangid_Sain_Zentgraf_Kruk_2025, title={Nonreciprocal
    Metasurfaces with Epsilon-Near-Zero Materials}, DOI={<a href="https://doi.org/10.1021/acs.nanolett.4c06188">10.1021/acs.nanolett.4c06188</a>},
    journal={Nano Letters}, publisher={American Chemical Society (ACS)}, author={Mathew,
    Albert and Aschwanden, Rebecca and Tripathi, Aditya and Jangid, Piyush and Sain,
    Basudeb and Zentgraf, Thomas and Kruk, Sergey}, year={2025} }'
  chicago: Mathew, Albert, Rebecca Aschwanden, Aditya Tripathi, Piyush Jangid, Basudeb
    Sain, Thomas Zentgraf, and Sergey Kruk. “Nonreciprocal Metasurfaces with Epsilon-Near-Zero
    Materials.” <i>Nano Letters</i>, 2025. <a href="https://doi.org/10.1021/acs.nanolett.4c06188">https://doi.org/10.1021/acs.nanolett.4c06188</a>.
  ieee: 'A. Mathew <i>et al.</i>, “Nonreciprocal Metasurfaces with Epsilon-Near-Zero
    Materials,” <i>Nano Letters</i>, 2025, doi: <a href="https://doi.org/10.1021/acs.nanolett.4c06188">10.1021/acs.nanolett.4c06188</a>.'
  mla: Mathew, Albert, et al. “Nonreciprocal Metasurfaces with Epsilon-Near-Zero Materials.”
    <i>Nano Letters</i>, American Chemical Society (ACS), 2025, doi:<a href="https://doi.org/10.1021/acs.nanolett.4c06188">10.1021/acs.nanolett.4c06188</a>.
  short: A. Mathew, R. Aschwanden, A. Tripathi, P. Jangid, B. Sain, T. Zentgraf, S.
    Kruk, Nano Letters (2025).
date_created: 2025-02-12T12:54:41Z
date_updated: 2026-04-20T05:06:06Z
department:
- _id: '15'
- _id: '230'
- _id: '289'
- _id: '623'
doi: 10.1021/acs.nanolett.4c06188
external_id:
  arxiv:
  - '2501.11920'
keyword:
- metasurfaces
- nanophotonics
- nonreciprocity
- optical isolators
- silicon photonics
language:
- iso: eng
main_file_link:
- url: https://pubs.acs.org/doi/full/10.1021/acs.nanolett.4c06188
project:
- _id: '53'
  name: 'TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden
    Konzepten zu funktionellen Strukturen'
- _id: '54'
  name: 'TRR 142 - A: TRR 142 - Project Area A'
- _id: '55'
  name: 'TRR 142 - B: TRR 142 - Project Area B'
- _id: '170'
  name: 'TRR 142 - B09: TRR 142 - Effiziente Erzeugung mit maßgeschneiderter optischer
    Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen
    (B09*)'
- _id: '65'
  name: 'TRR 142 - A08: TRR 142 - Nichtlineare Kopplung von Zwischenschicht-Exzitonen
    in van der Waals-Heterostrukturen an plasmonische und dielektrische Nanokavitäten
    (A08)'
publication: Nano Letters
publication_identifier:
  issn:
  - 1530-6984
  - 1530-6992
publication_status: published
publisher: American Chemical Society (ACS)
quality_controlled: '1'
status: public
title: Nonreciprocal Metasurfaces with Epsilon-Near-Zero Materials
type: journal_article
user_id: '30525'
year: '2025'
...
---
_id: '64902'
abstract:
- lang: ger
  text: 'Diese Dissertation behandelt die Entwicklung, Erprobung und Evaluation einer
    mobilen Augmented Reality Anwendung (mAR-App) namens PEARL (Paderborner Elektrotechnik
    AR Laborpraktikum), die als Vorbereitungsmaßnahme für elektrotechnische Laborpraktika
    konzipiert wird. Ziel ist es, Studierenden eine zeitlich und örtlich flexible
    Möglichkeit zu bieten, den realitätsnahen Umgang mit Laborgeräten - primär dem
    Oszilloskop - zu erlernen. Die methodische Grundlage bilden der Makrozyklus von
    Design-Based Research (DBR) als strukturierender Rahmen und das heuristische Modell
    des Research Pentagons, das die Durchführung auf Mikroebene bestimmt. In insgesamt
    vier Research Pentagons werden didaktische, technologische, motivationale und
    evaluative Komponenten systematisch untersucht und weiterentwickelt. Das erste
    Pentagon fokussiert die Entwicklung eines didaktisch fundierten Konzepts nach
    dem Prinzip des Constructive Alignment, das Lernziele, Lernaktivitäten und Prüfungsformen
    in fünf abgestufte Lernlevel überführt. Diese reichen von der initialen Orientierung
    bis zur eigenständigen Problemlösung in einem freien Experimentiermodus. Im zweiten
    Research Pentagon wird die technische Machbarkeit von Augmented - und Virtual
    Reality (VR) im Laborumfeld anhand mehrerer funktionaler Prototypen evaluiert.
    Während sich VR aufgrund technischer Einschränkungen als ungeeignet erweist, zeigt
    AR - insbesondere in der markerlosen Ausführung mittels der Software Development
    Kits (SDKs) ARCore und ARKit - ein hohes Potenzial für den praktischen Einsatz.
    Im dritten Pentagon entsteht ein Onboarding-Modul, das auf die erste Version der
    mobilen App (V0.17.01) aufsetzt und grundlegende Funktionen eines realen Oszilloskops
    digital abbildet. Dabei werden Nutzer:innen schrittweise an das virtuelle Oszilloskop
    herangeführt und lernen zugleich die zentralen Funktionen der mAR-App kennen.
    Die Ergebnisse zeigen eine insgesamt neutrale bis leicht positive Nutzungserfahrung,
    wobei technische Schwächen (z.B. Reaktionszeit oder Objektverankerung) die Effizienz
    und Steuerbarkeit beeinträchtigen. Im Exkurs-Kapitel erfolgt eine Eye-Tracking-Studie
    zur Untersuchung visueller Aufmerksamkeit und individueller Lösungsstrategien
    von Expert:innen und Noviz:innen bei der Arbeit am realen Oszilloskop. Heatmaps
    und Zeitverläufe in definierten Areas of Interest (AOI) liefern erste Hinweise
    auf Unterschiede im Blickverhalten zwischen den Gruppen. Die algorithmischen Scanpfadanalysen
    der Blickverläufe hingegen zeigen eine geringe Trennschärfe. Das Potenzial von
    Eye-Tracking als Evaluationsmethode wird daher kritisch reflektiert, aber angesichts
    technologischer Entwicklungen und verfügbarer Eye-Tracker in Mixed Reality (MR)
    Brillen weiterhin als zukunftsrelevant eingeordnet. Die abschließende summative
    Evaluation nutzt ein Prä‑Post-Test-Design mit Kontrollgruppenvergleich mit 70
    Teilnehmenden, um die Lernwirksamkeit der überarbeiteten mAR-App mit klassischen
    Materialien wie Videos und Handbüchern zu vergleichen. In der Interventionsgruppe
    (IG) zeigen sich auf kognitiver und affektiver Ebene signifikant positive Veränderungen:
    Die Leistungen steigen deutlich, insbesondere in den Taxonomiestufen Anwendung,
    Verständnis und Analyse; zugleich nehmen experimentelles Selbstkonzept und experimentelles
    Sachinteresse zu, während Überforderung und Ängstlichkeit im Hinblick auf die
    Laborpraktika abnehmen. Als Einschränkung zeigt sich, dass die mAR-App keinen
    klaren Vorsprung gegenüber der Kontrollgruppe (KG) erreicht, was sowohl auf die
    sehr gut ausgearbeiteten Materialien und Videos der KG als auch auf technische
    Begrenzungen der mobilen Umsetzung zurückzuführen ist: Kleine Displays, 2D-Oberflächen
    für 3D-Geräte und unpräzise Touch-Interaktionen erschweren komplexe, feinmotorische
    Aufgaben. In den begleitenden User Interface (UI) und User Experience (UX) Fragebögen
    spiegeln sich diese Limitationen in gemischten Bewertungen der App wider. Die
    Arbeit verdeutlicht, dass die mobile AR-Anwendung trotz technischer Einschränkungen
    wertvolle Möglichkeiten für die Vorbereitung auf Laborpraktika und das Kennenlernen
    von Laborgeräten bieten kann. Der Fokus bei der Entwicklung liegt von Beginn an
    auf einer modularen und flexiblen App-Architektur, um sie mit neuen Geräten und
    Aufgaben zu erweitern. Der Hauptnutzen liegt perspektivisch nicht in der mobilen
    Anwendung selbst, sondern in der strategischen Ausrichtung auf zukunftsfähige,
    skalierbare Lösungen für MR-Brillen. Diese erlauben eine authentische Gestensteuerung
    und realitätsnahe Interaktionen.'
- lang: eng
  text: 'This thesis examines the development, testing, and evaluation of a mobile
    augmented reality application (mAR app), which is designed as a preparation tool
    for electrical engineering laboratory courses. The aim is to offer students an
    opportunity to work with laboratory equipment - primarily the oscilloscope - realistically
    without location and time constraints. The methodological basis is formed by the
    macrocycle of design-based research (DBR) as a structured framework and the heuristic
    model of the research pentagon, which specifies the implementation at the micro
    level. Didactic, technological, motivational, and evaluative components are systematically
    examined and further developed in a total of four research pentagons. The first
    pentagon focuses on the development of a didactically sound concept based on the
    principle of constructive alignment, which incorporates learning objectives, learning
    activities, and forms of assessment into five graduated learning levels. These
    range from initial orientation to independent problem-solving in a free experimentation
    mode. The second phase evaluates the technical feasibility of augmented and virtual
    reality (VR) in the laboratory environment using several prototypes. While VR
    turns out to be unsuitable due to technical limitations, AR - especially in the
    markerless version using the ARCore and ARKit software development kits (SDKs)
    - shows great potential for everyday use. In the third research pentagon, an onboarding
    module is created based on the first version of the mobile app (V0.17.01), which
    digitally maps the basic functions of a real oscilloscope. During this process,
    users are introduced to the virtual oscilloscope and become familiar with the
    main functions of the mAR app. The results show an overall neutral to slightly
    positive user experience, although technical weaknesses (e.g., reaction time and
    object fixing) negatively impact efficiency and controllability. In the fourth
    research pentagon, an eye-tracking study is carried out to investigate visual
    attention and individual solution strategies of expert and novice users when working
    with real oscilloscopes. Heatmaps and time sequences in defined areas of interest
    (AOI) provide first indications of differences in gaze behavior between the groups.
    The algorithmic scan path analysis, on the other hand, reveals a low degree of
    differentiation. The potential of eye tracking as an evaluation method is therefore
    critically reflected, but it is still considered to be relevant for future studies
    in light of technological advancements and the availability of eye trackers in
    mixed reality (MR) glasses. The final summative evaluation is carried out in the
    way of a pre-post test design with 70 participants and compares the usage of traditional
    materials such as videos and manuals with the improved mAR app. In the intervention
    group (IG), significant improvements emerge on both cognitive and affective levels:
    performance increases particularly in the areas of application, understanding,
    and analysis, while experimental self-concept and subject-related interest rise
    and feelings of overload and anxiety regarding the lab courses decline. As a limitation,
    the mAR app does not yield a clear advantage over the control group (CG), which
    can be attributed both to the highly refined materials and videos used in the
    CG and to technical constraints inherent to the mobile implementation: small displays,
    2D interfaces on 3D devices, and imprecise touch interaction limit complex, sensitive
    motor tasks. These limitations are also reflected in the accompanying user interface
    (UI) and user experience (UX) questionnaires, which indicate mixed app ratings.
    Both groups show significant learning gains - particularly in the areas of application,
    understanding, and analysis. However, a significant advantage of the mAR App cannot
    be proven. Affective characteristics such as experimental self-concept and general
    experimental interests increase in both groups, while the feeling of fear before
    conducting real laboratory work decreases. The app itself achieves average ratings
    in user interface (UI) and user experience (UX) questionnaires. The thesis demonstrates
    that, despite technical limitations, the mobile AR application can provide a valuable
    alternative for preparing students for laboratory courses and familiarizing them
    with laboratory equipment. From the very beginning, the primary goal during development
    was a modular and flexible app architecture that can be extended with new devices,
    tasks, and functions. The main benefit is not in the mobile application itself,
    but in the strategic direction of future-oriented and scalable solutions for MR
    glasses, which allow immersive and realistic gesture interactions.'
author:
- first_name: Mesut
  full_name: Alptekin, Mesut
  id: '11763'
  last_name: Alptekin
  orcid: 0009-0004-8545-1165
citation:
  ama: Alptekin M. <i>Entwicklung Einer Augmented Reality Basierten Anwendung Als
    Vorbereitungsmaßnahme Zum Laborpraktikum in Der Elektrotechnik</i>. LibreCat University;
    2025. doi:<a href="https://doi.org/10.17619/UNIPB/1-2483">10.17619/UNIPB/1-2483</a>
  apa: Alptekin, M. (2025). <i>Entwicklung einer Augmented Reality basierten Anwendung
    als Vorbereitungsmaßnahme zum Laborpraktikum in der Elektrotechnik</i>. LibreCat
    University. <a href="https://doi.org/10.17619/UNIPB/1-2483">https://doi.org/10.17619/UNIPB/1-2483</a>
  bibtex: '@book{Alptekin_2025, title={Entwicklung einer Augmented Reality basierten
    Anwendung als Vorbereitungsmaßnahme zum Laborpraktikum in der Elektrotechnik},
    DOI={<a href="https://doi.org/10.17619/UNIPB/1-2483">10.17619/UNIPB/1-2483</a>},
    publisher={LibreCat University}, author={Alptekin, Mesut}, year={2025} }'
  chicago: Alptekin, Mesut. <i>Entwicklung Einer Augmented Reality Basierten Anwendung
    Als Vorbereitungsmaßnahme Zum Laborpraktikum in Der Elektrotechnik</i>. LibreCat
    University, 2025. <a href="https://doi.org/10.17619/UNIPB/1-2483">https://doi.org/10.17619/UNIPB/1-2483</a>.
  ieee: M. Alptekin, <i>Entwicklung einer Augmented Reality basierten Anwendung als
    Vorbereitungsmaßnahme zum Laborpraktikum in der Elektrotechnik</i>. LibreCat University,
    2025.
  mla: Alptekin, Mesut. <i>Entwicklung Einer Augmented Reality Basierten Anwendung
    Als Vorbereitungsmaßnahme Zum Laborpraktikum in Der Elektrotechnik</i>. LibreCat
    University, 2025, doi:<a href="https://doi.org/10.17619/UNIPB/1-2483">10.17619/UNIPB/1-2483</a>.
  short: M. Alptekin, Entwicklung Einer Augmented Reality Basierten Anwendung Als
    Vorbereitungsmaßnahme Zum Laborpraktikum in Der Elektrotechnik, LibreCat University,
    2025.
date_created: 2026-03-11T11:05:08Z
date_updated: 2026-04-20T07:46:37Z
ddc:
- '620'
department:
- _id: '34'
- _id: '3'
- _id: '300'
doi: 10.17619/UNIPB/1-2483
publisher: LibreCat University
status: public
title: Entwicklung einer Augmented Reality basierten Anwendung als Vorbereitungsmaßnahme
  zum Laborpraktikum in der Elektrotechnik
type: research_data
user_id: '14972'
year: '2025'
...
---
_id: '63855'
abstract:
- lang: ger
  text: Elektronenenergieverlustspektroskopie (engl. EELS) ist eine fortgeschrittene
    Analysemethode der Transmissionselektronenmikroskopie, die auf atomarer Ebene
    Einblicke in Materialcharakteristika wie bspw. Eigenschaften des Elektronensystems
    oder der Materialzusammensetzung erlaubt. Die Genauigkeit jeder EELS-Analyse ist
    jedoch fundamental durch Rauschen und Unschärfe begrenzt. Diese Thesis beschreibt
    solche Rauschphänomene im Detail. Vor allem bei strahlempfindlichen Materialien,
    die kurze Bestrahlzeiten erfordern, aber auch bei Elektron-Materie-Wechselwirkungen
    mit geringer Auftrittshäufigkeit, ist eine solche Beschreibung notwendig, da das
    Rauschen solche Messungen dominiert. Zusätzlich spielen Korrelationen des Rauschens
    eine Rolle, die durch Faltung des verrauschten Signals mit der Punktspreizfunktion
    des Detektors entstehen und die sowohl theoretisch als auch experimentell beschrieben
    werden. Methoden zur Messung der wichtigsten Rauschparameter bei typischen Detektorsystemen
    werden vorgestellt und erlauben es, das Rauschmodel auf jeden beliebigen EELS-Detektor
    anzupassen. Eine neue Entfaltungsmethode wird vorgeschlagen, die EELS-Messungen
    schärft und entrauscht. Die Wirksamkeit dieser Methode wird an Simulations- und
    Experimentaldaten dargelegt. Hierbei wird gezeigt, dass die neue Methode signifikant
    bessere Ergebnisse liefert, als bisherige und somit eine Analyse von Messdaten
    auf einem Level ermöglicht, das die Möglichkeiten der Elektronenmikroskopie deutlich
    erweitert.
- lang: eng
  text: Electron energy-loss spectroscopy (EELS) is an advanced analytical technique
    in transmission electron microscopy, as it provides insights into material characteristics,
    such as electronic properties or elemental composition, at the atomic scale. The
    precision of every EELS analysis, however, is inherently limited by noises and
    blur. This thesis offers a comprehensive understanding of the noise, which is
    particularly valuable at low dwell times necessary for beam sensitive materials
    and for electron-matter interactions with low frequency of occurrence, where the
    noise dominates the measurement. Additionally, correlations encountered in the
    noise of an EELS measurement are described from both a theoretical and experimental
    perspective. These correlations are caused by a convolution of the noisy signal
    with the detector point spread function. Methods for characterizing key noise
    parameters of typical detectors are described, allowing the noise model to be
    tailored to any EELS detector. Ultimately, a novel deconvolution method enabling
    significant sharpening and denoising of EELS measurements is introduced and demonstrated.
    Its efficiency is further validated on both simulation and experimental data.
    The described advancement offered by the proposed deconvolution method enables
    the extension of current electron microscope capabilities, facilitating analysis
    that would be unfeasible with existing deconvolution techniques.
author:
- first_name: Christian
  full_name: Zietlow, Christian
  id: '77368'
  last_name: Zietlow
  orcid: https://orcid.org/0000-0001-9696-619X
citation:
  ama: Zietlow C. <i>A Novel Lagrangian-Based Method for the Deconvolution of Electron
    Energy-Loss Spectra</i>. Universitätsbibliothek Paderborn; 2025. doi:<a href="https://doi.org/10.17619/UNIPB/1-2438">10.17619/UNIPB/1-2438</a>
  apa: Zietlow, C. (2025). <i>A novel Lagrangian-based method for the deconvolution
    of electron energy-loss spectra</i>. Universitätsbibliothek Paderborn. <a href="https://doi.org/10.17619/UNIPB/1-2438">https://doi.org/10.17619/UNIPB/1-2438</a>
  bibtex: '@book{Zietlow_2025, title={A novel Lagrangian-based method for the deconvolution
    of electron energy-loss spectra}, DOI={<a href="https://doi.org/10.17619/UNIPB/1-2438">10.17619/UNIPB/1-2438</a>},
    publisher={Universitätsbibliothek Paderborn}, author={Zietlow, Christian}, year={2025}
    }'
  chicago: Zietlow, Christian. <i>A Novel Lagrangian-Based Method for the Deconvolution
    of Electron Energy-Loss Spectra</i>. Universitätsbibliothek Paderborn, 2025. <a
    href="https://doi.org/10.17619/UNIPB/1-2438">https://doi.org/10.17619/UNIPB/1-2438</a>.
  ieee: C. Zietlow, <i>A novel Lagrangian-based method for the deconvolution of electron
    energy-loss spectra</i>. Universitätsbibliothek Paderborn, 2025.
  mla: Zietlow, Christian. <i>A Novel Lagrangian-Based Method for the Deconvolution
    of Electron Energy-Loss Spectra</i>. Universitätsbibliothek Paderborn, 2025, doi:<a
    href="https://doi.org/10.17619/UNIPB/1-2438">10.17619/UNIPB/1-2438</a>.
  short: C. Zietlow, A Novel Lagrangian-Based Method for the Deconvolution of Electron
    Energy-Loss Spectra, Universitätsbibliothek Paderborn, 2025.
date_created: 2026-02-04T06:54:14Z
date_updated: 2026-04-20T07:42:57Z
department:
- _id: '15'
doi: 10.17619/UNIPB/1-2438
publisher: Universitätsbibliothek Paderborn
status: public
title: A novel Lagrangian-based method for the deconvolution of electron energy-loss
  spectra
type: research_data
user_id: '14972'
year: '2025'
...
---
_id: '61778'
abstract:
- lang: eng
  text: "Understanding the entanglement structure of local Hamiltonian ground spaces\r\nis
    a physically motivated problem, with applications ranging from tensor\r\nnetwork
    design to quantum error-correcting codes. To this end, we study the\r\ncomplexity
    of estimating ground state entanglement, and more generally entropy\r\nestimation
    for low energy states and Gibbs states. We find, in particular, that\r\nthe classes
    qq-QAM [Kobayashi, le Gall, Nishimura, SICOMP 2019] (a quantum\r\nanalogue of
    public-coin AM) and QMA(2) (QMA with unentangled proofs) play a\r\ncrucial role
    for such problems, showing: (1) Detecting a high-entanglement\r\nground state
    is qq-QAM-complete, (2) computing an additive error approximation\r\nto the Helmholtz
    free energy (equivalently, a multiplicative error\r\napproximation to the partition
    function) is in qq-QAM, (3) detecting a\r\nlow-entanglement ground state is QMA(2)-hard,
    and (4) detecting low energy\r\nstates which are close to product states can range
    from QMA-complete to\r\nQMA(2)-complete. Our results make progress on an open
    question of [Bravyi,\r\nChowdhury, Gosset and Wocjan, Nature Physics 2022] on
    free energy, and yield\r\nthe first QMA(2)-complete Hamiltonian problem using
    local Hamiltonians (cf. the\r\nsparse QMA(2)-complete Hamiltonian problem of [Chailloux,
    Sattath, CCC 2012])."
author:
- first_name: Sevag
  full_name: Gharibian, Sevag
  last_name: Gharibian
- first_name: Jonas
  full_name: Kamminga, Jonas
  last_name: Kamminga
citation:
  ama: Gharibian S, Kamminga J. On the complexity of estimating ground state entanglement
    and free  energy. <i>arXiv:251006796</i>. Published online 2025.
  apa: Gharibian, S., &#38; Kamminga, J. (2025). On the complexity of estimating ground
    state entanglement and free  energy. In <i>arXiv:2510.06796</i>.
  bibtex: '@article{Gharibian_Kamminga_2025, title={On the complexity of estimating
    ground state entanglement and free  energy}, journal={arXiv:2510.06796}, author={Gharibian,
    Sevag and Kamminga, Jonas}, year={2025} }'
  chicago: Gharibian, Sevag, and Jonas Kamminga. “On the Complexity of Estimating
    Ground State Entanglement and Free  Energy.” <i>ArXiv:2510.06796</i>, 2025.
  ieee: S. Gharibian and J. Kamminga, “On the complexity of estimating ground state
    entanglement and free  energy,” <i>arXiv:2510.06796</i>. 2025.
  mla: Gharibian, Sevag, and Jonas Kamminga. “On the Complexity of Estimating Ground
    State Entanglement and Free  Energy.” <i>ArXiv:2510.06796</i>, 2025.
  short: S. Gharibian, J. Kamminga, ArXiv:2510.06796 (2025).
date_created: 2025-10-10T13:45:28Z
date_updated: 2026-04-20T13:53:47Z
department:
- _id: '7'
- _id: '623'
external_id:
  arxiv:
  - '2510.06796'
language:
- iso: eng
publication: arXiv:2510.06796
status: public
title: On the complexity of estimating ground state entanglement and free  energy
type: preprint
user_id: '71541'
year: '2025'
...
---
_id: '61776'
abstract:
- lang: eng
  text: |-
    We investigate the role of energy, i.e. average photon number, as a resource
    in the computational complexity of bosonic systems. We show three sets of
    results: (1. Energy growth rates) There exist bosonic gate sets which increase
    energy incredibly rapidly, obtaining e.g. infinite energy in finite/constant
    time. We prove these high energies can make computing properties of bosonic
    computations, such as deciding whether a given computation will attain infinite
    energy, extremely difficult, formally undecidable. (2. Lower bounds on
    computational power) More energy ``='' more computational power. For example,
    certain gate sets allow poly-time bosonic computations to simulate PTOWER, the
    set of deterministic computations whose runtime scales as a tower of
    exponentials with polynomial height. Even just exponential energy and $O(1)$
    modes suffice to simulate NP, which, importantly, is a setup similar to that of
    the recent bosonic factoring algorithm of [Brenner, Caha, Coiteux-Roy and
    Koenig (2024)]. For simpler gate sets, we show an energy hierarchy theorem. (3.
    Upper bounds on computational power) Bosonic computations with polynomial
    energy can be simulated in BQP, ``physical'' bosonic computations with
    arbitrary finite energy are decidable, and the gate set consisting of Gaussian
    gates and the cubic phase gate can be simulated in PP, with exponential bound
    on energy, improving upon the previous PSPACE upper bound. Finally, combining
    upper and lower bounds yields no-go theorems for a continuous-variable
    Solovay--Kitaev theorem for gate sets such as the Gaussian and cubic phase
    gates.
author:
- first_name: Ulysse
  full_name: Chabaud, Ulysse
  last_name: Chabaud
- first_name: Sevag
  full_name: Gharibian, Sevag
  last_name: Gharibian
- first_name: Saeed
  full_name: Mehraban, Saeed
  last_name: Mehraban
- first_name: Arsalan
  full_name: Motamedi, Arsalan
  last_name: Motamedi
- first_name: Hamid Reza
  full_name: Naeij, Hamid Reza
  last_name: Naeij
- first_name: Dorian
  full_name: Rudolph, Dorian
  last_name: Rudolph
- first_name: Dhruva
  full_name: Sambrani, Dhruva
  last_name: Sambrani
citation:
  ama: Chabaud U, Gharibian S, Mehraban S, et al. Energy, Bosons and Computational
    Complexity. <i>arXiv:251008545</i>. Published online 2025.
  apa: Chabaud, U., Gharibian, S., Mehraban, S., Motamedi, A., Naeij, H. R., Rudolph,
    D., &#38; Sambrani, D. (2025). Energy, Bosons and Computational Complexity. In
    <i>arXiv:2510.08545</i>.
  bibtex: '@article{Chabaud_Gharibian_Mehraban_Motamedi_Naeij_Rudolph_Sambrani_2025,
    title={Energy, Bosons and Computational Complexity}, journal={arXiv:2510.08545},
    author={Chabaud, Ulysse and Gharibian, Sevag and Mehraban, Saeed and Motamedi,
    Arsalan and Naeij, Hamid Reza and Rudolph, Dorian and Sambrani, Dhruva}, year={2025}
    }'
  chicago: Chabaud, Ulysse, Sevag Gharibian, Saeed Mehraban, Arsalan Motamedi, Hamid
    Reza Naeij, Dorian Rudolph, and Dhruva Sambrani. “Energy, Bosons and Computational
    Complexity.” <i>ArXiv:2510.08545</i>, 2025.
  ieee: U. Chabaud <i>et al.</i>, “Energy, Bosons and Computational Complexity,” <i>arXiv:2510.08545</i>.
    2025.
  mla: Chabaud, Ulysse, et al. “Energy, Bosons and Computational Complexity.” <i>ArXiv:2510.08545</i>,
    2025.
  short: U. Chabaud, S. Gharibian, S. Mehraban, A. Motamedi, H.R. Naeij, D. Rudolph,
    D. Sambrani, ArXiv:2510.08545 (2025).
date_created: 2025-10-10T13:44:52Z
date_updated: 2026-04-20T13:53:54Z
external_id:
  arxiv:
  - '2510.08545'
publication: arXiv:2510.08545
status: public
title: Energy, Bosons and Computational Complexity
type: preprint
user_id: '71541'
year: '2025'
...
---
_id: '65466'
author:
- first_name: Fabian
  full_name: Bäumer, Fabian
  last_name: Bäumer
- first_name: Marcus
  full_name: Brinkmann, Marcus
  last_name: Brinkmann
- first_name: Maximilian
  full_name: Radoy, Maximilian
  last_name: Radoy
- first_name: Jörg
  full_name: Schwenk, Jörg
  last_name: Schwenk
- first_name: Juraj
  full_name: Somorovsky, Juraj
  last_name: Somorovsky
citation:
  ama: 'Bäumer F, Brinkmann M, Radoy M, Schwenk J, Somorovsky J. On the Security of
    SSH Client Signatures. In: <i>Proceedings of the 2025 ACM SIGSAC Conference on
    Computer and Communications Security</i>. ACM; 2025. doi:<a href="https://doi.org/10.1145/3719027.3765079">10.1145/3719027.3765079</a>'
  apa: Bäumer, F., Brinkmann, M., Radoy, M., Schwenk, J., &#38; Somorovsky, J. (2025).
    On the Security of SSH Client Signatures. <i>Proceedings of the 2025 ACM SIGSAC
    Conference on Computer and Communications Security</i>. <a href="https://doi.org/10.1145/3719027.3765079">https://doi.org/10.1145/3719027.3765079</a>
  bibtex: '@inproceedings{Bäumer_Brinkmann_Radoy_Schwenk_Somorovsky_2025, title={On
    the Security of SSH Client Signatures}, DOI={<a href="https://doi.org/10.1145/3719027.3765079">10.1145/3719027.3765079</a>},
    booktitle={Proceedings of the 2025 ACM SIGSAC Conference on Computer and Communications
    Security}, publisher={ACM}, author={Bäumer, Fabian and Brinkmann, Marcus and Radoy,
    Maximilian and Schwenk, Jörg and Somorovsky, Juraj}, year={2025} }'
  chicago: Bäumer, Fabian, Marcus Brinkmann, Maximilian Radoy, Jörg Schwenk, and Juraj
    Somorovsky. “On the Security of SSH Client Signatures.” In <i>Proceedings of the
    2025 ACM SIGSAC Conference on Computer and Communications Security</i>. ACM, 2025.
    <a href="https://doi.org/10.1145/3719027.3765079">https://doi.org/10.1145/3719027.3765079</a>.
  ieee: 'F. Bäumer, M. Brinkmann, M. Radoy, J. Schwenk, and J. Somorovsky, “On the
    Security of SSH Client Signatures,” 2025, doi: <a href="https://doi.org/10.1145/3719027.3765079">10.1145/3719027.3765079</a>.'
  mla: Bäumer, Fabian, et al. “On the Security of SSH Client Signatures.” <i>Proceedings
    of the 2025 ACM SIGSAC Conference on Computer and Communications Security</i>,
    ACM, 2025, doi:<a href="https://doi.org/10.1145/3719027.3765079">10.1145/3719027.3765079</a>.
  short: 'F. Bäumer, M. Brinkmann, M. Radoy, J. Schwenk, J. Somorovsky, in: Proceedings
    of the 2025 ACM SIGSAC Conference on Computer and Communications Security, ACM,
    2025.'
date_created: 2026-04-20T13:09:17Z
date_updated: 2026-04-20T13:09:29Z
department:
- _id: '632'
- _id: '632'
doi: 10.1145/3719027.3765079
publication: Proceedings of the 2025 ACM SIGSAC Conference on Computer and Communications
  Security
publication_status: published
publisher: ACM
status: public
title: On the Security of SSH Client Signatures
type: conference
user_id: '68826'
year: '2025'
...
---
_id: '65413'
author:
- first_name: P.
  full_name: Avramovic, P.
  last_name: Avramovic
- first_name: J.
  full_name: Quinting, J.
  last_name: Quinting
- first_name: S.
  full_name: Brassel, S.
  last_name: Brassel
- first_name: M.
  full_name: Brunner, M.
  last_name: Brunner
- first_name: Kristina
  full_name: Jonas, Kristina
  id: '94540'
  last_name: Jonas
  orcid: 0000-0002-1067-9139
- first_name: R.
  full_name: Rietdijk, R.
  last_name: Rietdijk
- first_name: I.
  full_name: Rubi-Fessen, I.
  last_name: Rubi-Fessen
- first_name: 'P. '
  full_name: 'Stenneken, P. '
  last_name: Stenneken
- first_name: L.
  full_name: Togher, L.
  last_name: Togher
citation:
  ama: 'Avramovic P, Quinting J, Brassel S, et al. ’Co-CALIBRATE: Developing a Culturally
    Sensitive Framework for Adapting ABI Interventions in Diverse Population. In:
    <i>4th CCD Symposium, Coventry, UK.</i> ; 2025.'
  apa: 'Avramovic, P., Quinting, J., Brassel, S., Brunner, M., Jonas, K., Rietdijk,
    R., Rubi-Fessen, I., Stenneken, P., &#38; Togher, L. (2025). ’Co-CALIBRATE: Developing
    a Culturally Sensitive Framework for Adapting ABI Interventions in Diverse Population.
    <i>4th CCD Symposium, Coventry, UK.</i>'
  bibtex: '@inproceedings{Avramovic_Quinting_Brassel_Brunner_Jonas_Rietdijk_Rubi-Fessen_Stenneken_Togher_2025,
    title={’Co-CALIBRATE: Developing a Culturally Sensitive Framework for Adapting
    ABI Interventions in Diverse Population}, booktitle={4th CCD Symposium, Coventry,
    UK.}, author={Avramovic, P. and Quinting, J. and Brassel, S. and Brunner, M. and
    Jonas, Kristina and Rietdijk, R. and Rubi-Fessen, I. and Stenneken, P.  and Togher,
    L.}, year={2025} }'
  chicago: 'Avramovic, P., J. Quinting, S. Brassel, M. Brunner, Kristina Jonas, R.
    Rietdijk, I. Rubi-Fessen, P.  Stenneken, and L. Togher. “’Co-CALIBRATE: Developing
    a Culturally Sensitive Framework for Adapting ABI Interventions in Diverse Population.”
    In <i>4th CCD Symposium, Coventry, UK.</i>, 2025.'
  ieee: 'P. Avramovic <i>et al.</i>, “’Co-CALIBRATE: Developing a Culturally Sensitive
    Framework for Adapting ABI Interventions in Diverse Population,” 2025.'
  mla: 'Avramovic, P., et al. “’Co-CALIBRATE: Developing a Culturally Sensitive Framework
    for Adapting ABI Interventions in Diverse Population.” <i>4th CCD Symposium, Coventry,
    UK.</i>, 2025.'
  short: 'P. Avramovic, J. Quinting, S. Brassel, M. Brunner, K. Jonas, R. Rietdijk,
    I. Rubi-Fessen, P. Stenneken, L. Togher, in: 4th CCD Symposium, Coventry, UK.,
    2025.'
date_created: 2026-04-13T13:10:22Z
date_updated: 2026-04-20T11:56:11Z
department:
- _id: '5'
- _id: '890'
language:
- iso: eng
publication: 4th CCD Symposium, Coventry, UK.
status: public
title: '''Co-CALIBRATE: Developing a Culturally Sensitive Framework for Adapting ABI
  Interventions in Diverse Population'
type: conference
user_id: '61071'
year: '2025'
...
---
_id: '60431'
citation:
  ama: Quantum k-SAT Related Hypergraph Problems. Published online 2025. doi:<a href="https://doi.org/10.48550/ARXIV.2506.17066">10.48550/ARXIV.2506.17066</a>
  apa: <i>Quantum k-SAT Related Hypergraph Problems</i>. (2025). <a href="https://doi.org/10.48550/ARXIV.2506.17066">https://doi.org/10.48550/ARXIV.2506.17066</a>
  bibtex: '@article{Quantum k-SAT Related Hypergraph Problems_2025, DOI={<a href="https://doi.org/10.48550/ARXIV.2506.17066">10.48550/ARXIV.2506.17066</a>},
    year={2025} }'
  chicago: “Quantum K-SAT Related Hypergraph Problems,” 2025. <a href="https://doi.org/10.48550/ARXIV.2506.17066">https://doi.org/10.48550/ARXIV.2506.17066</a>.
  ieee: '“Quantum k-SAT Related Hypergraph Problems,” 2025, doi: <a href="https://doi.org/10.48550/ARXIV.2506.17066">10.48550/ARXIV.2506.17066</a>.'
  mla: <i>Quantum K-SAT Related Hypergraph Problems</i>. 2025, doi:<a href="https://doi.org/10.48550/ARXIV.2506.17066">10.48550/ARXIV.2506.17066</a>.
  short: (2025).
date_created: 2025-06-27T06:55:40Z
date_updated: 2026-04-20T13:53:59Z
doi: 10.48550/ARXIV.2506.17066
status: public
title: Quantum k-SAT Related Hypergraph Problems
type: journal_article
user_id: '71541'
year: '2025'
...
---
_id: '65474'
author:
- first_name: Jeroen
  full_name: Rook, Jeroen
  id: '102977'
  last_name: Rook
- first_name: Manuel
  full_name: López-Ibáñez, Manuel
  last_name: López-Ibáñez
citation:
  ama: 'Rook J, López-Ibáñez M. Advanced Use of Automatic Algorithm Configuration:
    Single- and Multi-Objective Approaches. In: Filipic B, ed. <i>Proceedings of the
    Genetic and Evolutionary Computation Conference Companion, GECCO 2025, NH Malaga
    Hotel, Malaga, Spain, July 14-18, 2025</i>. ACM; 2025:1617–1642. doi:<a href="https://doi.org/10.1145/3712255.3716537">10.1145/3712255.3716537</a>'
  apa: 'Rook, J., &#38; López-Ibáñez, M. (2025). Advanced Use of Automatic Algorithm
    Configuration: Single- and Multi-Objective Approaches. In B. Filipic (Ed.), <i>Proceedings
    of the Genetic and Evolutionary Computation Conference Companion, GECCO 2025,
    NH Malaga Hotel, Malaga, Spain, July 14-18, 2025</i> (pp. 1617–1642). ACM. <a
    href="https://doi.org/10.1145/3712255.3716537">https://doi.org/10.1145/3712255.3716537</a>'
  bibtex: '@inproceedings{Rook_López-Ibáñez_2025, title={Advanced Use of Automatic
    Algorithm Configuration: Single- and Multi-Objective Approaches}, DOI={<a href="https://doi.org/10.1145/3712255.3716537">10.1145/3712255.3716537</a>},
    booktitle={Proceedings of the Genetic and Evolutionary Computation Conference
    Companion, GECCO 2025, NH Malaga Hotel, Malaga, Spain, July 14-18, 2025}, publisher={ACM},
    author={Rook, Jeroen and López-Ibáñez, Manuel}, editor={Filipic, Bogdan}, year={2025},
    pages={1617–1642} }'
  chicago: 'Rook, Jeroen, and Manuel López-Ibáñez. “Advanced Use of Automatic Algorithm
    Configuration: Single- and Multi-Objective Approaches.” In <i>Proceedings of the
    Genetic and Evolutionary Computation Conference Companion, GECCO 2025, NH Malaga
    Hotel, Malaga, Spain, July 14-18, 2025</i>, edited by Bogdan Filipic, 1617–1642.
    ACM, 2025. <a href="https://doi.org/10.1145/3712255.3716537">https://doi.org/10.1145/3712255.3716537</a>.'
  ieee: 'J. Rook and M. López-Ibáñez, “Advanced Use of Automatic Algorithm Configuration:
    Single- and Multi-Objective Approaches,” in <i>Proceedings of the Genetic and
    Evolutionary Computation Conference Companion, GECCO 2025, NH Malaga Hotel, Malaga,
    Spain, July 14-18, 2025</i>, 2025, pp. 1617–1642, doi: <a href="https://doi.org/10.1145/3712255.3716537">10.1145/3712255.3716537</a>.'
  mla: 'Rook, Jeroen, and Manuel López-Ibáñez. “Advanced Use of Automatic Algorithm
    Configuration: Single- and Multi-Objective Approaches.” <i>Proceedings of the
    Genetic and Evolutionary Computation Conference Companion, GECCO 2025, NH Malaga
    Hotel, Malaga, Spain, July 14-18, 2025</i>, edited by Bogdan Filipic, ACM, 2025,
    pp. 1617–1642, doi:<a href="https://doi.org/10.1145/3712255.3716537">10.1145/3712255.3716537</a>.'
  short: 'J. Rook, M. López-Ibáñez, in: B. Filipic (Ed.), Proceedings of the Genetic
    and Evolutionary Computation Conference Companion, GECCO 2025, NH Malaga Hotel,
    Malaga, Spain, July 14-18, 2025, ACM, 2025, pp. 1617–1642.'
date_created: 2026-04-21T11:50:48Z
date_updated: 2026-04-21T11:51:59Z
department:
- _id: '819'
doi: 10.1145/3712255.3716537
editor:
- first_name: Bogdan
  full_name: Filipic, Bogdan
  last_name: Filipic
language:
- iso: eng
page: 1617–1642
publication: Proceedings of the Genetic and Evolutionary Computation Conference Companion,
  GECCO 2025, NH Malaga Hotel, Malaga, Spain, July 14-18, 2025
publisher: ACM
status: public
title: 'Advanced Use of Automatic Algorithm Configuration: Single- and Multi-Objective
  Approaches'
type: conference
user_id: '15504'
year: '2025'
...
---
_id: '59891'
author:
- first_name: Joanna
  full_name: Bodynek, Joanna
  id: '112254'
  last_name: Bodynek
- first_name: 'Dana '
  full_name: 'Gaigulo, Dana '
  last_name: Gaigulo
- first_name: 'Andreas '
  full_name: 'Mayer, Andreas '
  last_name: Mayer
- first_name: Kristina
  full_name: Jonas, Kristina
  id: '94540'
  last_name: Jonas
  orcid: 0000-0002-1067-9139
citation:
  ama: 'Bodynek J, Gaigulo D, Mayer A, Jonas K. Entwicklung und Evaluation eines Förderkonzeptes
    der morphologischen Bewusstheit – Vorstellung eines Forschungsvorhabens [Poster].
    In: ; 2025.'
  apa: Bodynek, J., Gaigulo, D., Mayer, A., &#38; Jonas, K. (2025). <i>Entwicklung
    und Evaluation eines Förderkonzeptes der morphologischen Bewusstheit – Vorstellung
    eines Forschungsvorhabens [Poster]</i>. AESF Frühjahrskonferenz, Oldenburg .
  bibtex: '@inproceedings{Bodynek_Gaigulo_Mayer_Jonas_2025, title={Entwicklung und
    Evaluation eines Förderkonzeptes der morphologischen Bewusstheit – Vorstellung
    eines Forschungsvorhabens [Poster]}, author={Bodynek, Joanna and Gaigulo, Dana  and
    Mayer, Andreas  and Jonas, Kristina}, year={2025} }'
  chicago: Bodynek, Joanna, Dana  Gaigulo, Andreas  Mayer, and Kristina Jonas. “Entwicklung
    Und Evaluation Eines Förderkonzeptes Der Morphologischen Bewusstheit – Vorstellung
    Eines Forschungsvorhabens [Poster],” 2025.
  ieee: J. Bodynek, D. Gaigulo, A. Mayer, and K. Jonas, “Entwicklung und Evaluation
    eines Förderkonzeptes der morphologischen Bewusstheit – Vorstellung eines Forschungsvorhabens
    [Poster],” presented at the AESF Frühjahrskonferenz, Oldenburg , 2025.
  mla: Bodynek, Joanna, et al. <i>Entwicklung Und Evaluation Eines Förderkonzeptes
    Der Morphologischen Bewusstheit – Vorstellung Eines Forschungsvorhabens [Poster]</i>.
    2025.
  short: 'J. Bodynek, D. Gaigulo, A. Mayer, K. Jonas, in: 2025.'
conference:
  end_date: 2025-05-10
  location: 'Oldenburg '
  name: AESF Frühjahrskonferenz
  start_date: 2025-05-08
date_created: 2025-05-14T07:04:03Z
date_updated: 2026-04-21T06:52:23Z
language:
- iso: eng
status: public
title: Entwicklung und Evaluation eines Förderkonzeptes der morphologischen Bewusstheit
  – Vorstellung eines Forschungsvorhabens [Poster]
type: conference_abstract
user_id: '94540'
year: '2025'
...
---
_id: '63753'
author:
- first_name: Julia
  full_name: Diederich, Julia
  id: '13796'
  last_name: Diederich
citation:
  ama: 'Diederich J. Rezension von: Julia Peuke “Was bleibt - die DDR aus der Perspektive
    von Kindern: eine qualitative Studie zum historisch-politischen Lernen im Sachunterricht”
    (Dissertation). Published online 2025.'
  apa: 'Diederich, J. (2025). <i>Rezension von: Julia Peuke “Was bleibt - die DDR
    aus der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen
    Lernen im Sachunterricht” (Dissertation)</i>. Sehepunkte 25 (2025), Nr. 7/8, URL:
    https://www.sehepunkte.de/2025/07/39871.html.'
  bibtex: '@article{Diederich_2025, title={Rezension von: Julia Peuke “Was bleibt
    - die DDR aus der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen
    Lernen im Sachunterricht” (Dissertation)}, publisher={Sehepunkte 25 (2025), Nr.
    7/8, URL: https://www.sehepunkte.de/2025/07/39871.html}, author={Diederich, Julia},
    year={2025} }'
  chicago: 'Diederich, Julia. “Rezension von: Julia Peuke ‘Was bleibt - die DDR aus
    der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen
    Lernen im Sachunterricht’ (Dissertation).” Sehepunkte 25 (2025), Nr. 7/8, URL:
    https://www.sehepunkte.de/2025/07/39871.html, 2025.'
  ieee: 'J. Diederich, “Rezension von: Julia Peuke ‘Was bleibt - die DDR aus der Perspektive
    von Kindern: eine qualitative Studie zum historisch-politischen Lernen im Sachunterricht’
    (Dissertation).” Sehepunkte 25 (2025), Nr. 7/8, URL: https://www.sehepunkte.de/2025/07/39871.html,
    2025.'
  mla: 'Diederich, Julia. <i>Rezension von: Julia Peuke “Was bleibt - die DDR aus
    der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen
    Lernen im Sachunterricht” (Dissertation)</i>. Sehepunkte 25 (2025), Nr. 7/8, URL:
    https://www.sehepunkte.de/2025/07/39871.html, 2025.'
  short: J. Diederich, (2025).
date_created: 2026-01-27T10:31:38Z
date_updated: 2026-04-22T08:26:27Z
language:
- iso: ger
main_file_link:
- open_access: '1'
  url: https://www.sehepunkte.de/2025/07/39871.html
oa: '1'
publication_status: published
publisher: 'Sehepunkte 25 (2025), Nr. 7/8, URL: https://www.sehepunkte.de/2025/07/39871.html'
status: public
title: 'Rezension von: Julia Peuke "Was bleibt - die DDR aus der Perspektive von Kindern:
  eine qualitative Studie zum historisch-politischen Lernen im Sachunterricht" (Dissertation)'
type: review
user_id: '13796'
year: '2025'
...
---
_id: '65485'
abstract:
- lang: ger
  text: m Beitrag werden Ergebnisse der Design-Based-Research-Studie Studierende als
    Lesecoaches dargestellt, in der das Lernsetting Lesen mit Rätseln zum Lesenlernen
    im 3./4. Schuljahr entwickelt wurde. Dieses zeichnet sich durch eine mehrdimensionale,
    adaptive und kindorientierte Ausrichtung aus. In den Fokus wird die Perspektive
    von Schüler:innen genommen, die das Lernsetting über zehn Wochen erprobt haben.
    Ausgehend von qualitativen Leitfadeninterviews mit einer Teilstichprobe (n=12)
    beurteilen die Kinder die Rätselaufgaben, die Arbeit mit einem anderen Kind und
    die Arbeit mit einem digitalen Audiostift. Im Sinne der designbasierten Forschung
    werden aus den Beurteilungen der Kinder Gestaltungsprinzipien zur Weiterentwicklung
    des Lernsettings abgeleitet. Die Ergebnisse zeigen, dass die Perspektive der Schüler:innen
    in der designbasierten Forschung eine Bereicherung darstellen kann.
alternative_title:
- Qualitative Leitfadeninterviews mit Viertklässler:innen zum Lernsetting Lesen mit
  Rätseln
article_type: original
author:
- first_name: Laura
  full_name: Drepper, Laura
  last_name: Drepper
- first_name: Johanna
  full_name: Hoffmann, Johanna
  last_name: Hoffmann
citation:
  ama: Drepper L, Hoffmann J. Perspektiven von Schüler:innen in der designbasierten
    Forschung. <i>EDeR Educational Design Research</i>. 2025;(3). doi:<a href="https://doi.org/10.15460/eder.9.3.2379">10.15460/eder.9.3.2379</a>
  apa: Drepper, L., &#38; Hoffmann, J. (2025). Perspektiven von Schüler:innen in der
    designbasierten Forschung. <i>EDeR. Educational Design Research</i>, <i>3</i>.
    <a href="https://doi.org/10.15460/eder.9.3.2379">https://doi.org/10.15460/eder.9.3.2379</a>
  bibtex: '@article{Drepper_Hoffmann_2025, title={Perspektiven von Schüler:innen in
    der designbasierten Forschung}, DOI={<a href="https://doi.org/10.15460/eder.9.3.2379">10.15460/eder.9.3.2379</a>},
    number={3}, journal={EDeR. Educational Design Research}, author={Drepper, Laura
    and Hoffmann, Johanna}, year={2025} }'
  chicago: Drepper, Laura, and Johanna Hoffmann. “Perspektiven von Schüler:innen in
    der designbasierten Forschung.” <i>EDeR. Educational Design Research</i>, no.
    3 (2025). <a href="https://doi.org/10.15460/eder.9.3.2379">https://doi.org/10.15460/eder.9.3.2379</a>.
  ieee: 'L. Drepper and J. Hoffmann, “Perspektiven von Schüler:innen in der designbasierten
    Forschung,” <i>EDeR. Educational Design Research</i>, no. 3, 2025, doi: <a href="https://doi.org/10.15460/eder.9.3.2379">10.15460/eder.9.3.2379</a>.'
  mla: Drepper, Laura, and Johanna Hoffmann. “Perspektiven von Schüler:innen in der
    designbasierten Forschung.” <i>EDeR. Educational Design Research</i>, no. 3, 2025,
    doi:<a href="https://doi.org/10.15460/eder.9.3.2379">10.15460/eder.9.3.2379</a>.
  short: L. Drepper, J. Hoffmann, EDeR. Educational Design Research (2025).
date_created: 2026-04-22T09:37:23Z
date_updated: 2026-04-22T09:44:20Z
doi: 10.15460/eder.9.3.2379
issue: '3'
language:
- iso: ger
publication: EDeR. Educational Design Research
publication_identifier:
  issn:
  - 2511-0667
publication_status: published
status: public
title: Perspektiven von Schüler:innen in der designbasierten Forschung
type: journal_article
user_id: '40689'
year: '2025'
...
---
_id: '65487'
article_type: original
author:
- first_name: Laura
  full_name: Drepper, Laura
  last_name: Drepper
- first_name: Benjamin
  full_name: Uhl, Benjamin
  last_name: Uhl
citation:
  ama: Drepper L, Uhl B. Deutschlehrkräfte als Co-Designer in der designbasierten
    Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln. <i>Mitteilungen
    des Deutschen Germanistenverbandes</i>. 2025;72(1):89-110. doi:<a href="https://doi.org/10.13109/mdge.2025.72.1.89">10.13109/mdge.2025.72.1.89</a>
  apa: Drepper, L., &#38; Uhl, B. (2025). Deutschlehrkräfte als Co-Designer in der
    designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln.
    <i>Mitteilungen des Deutschen Germanistenverbandes</i>, <i>72</i>(1), 89–110.
    <a href="https://doi.org/10.13109/mdge.2025.72.1.89">https://doi.org/10.13109/mdge.2025.72.1.89</a>
  bibtex: '@article{Drepper_Uhl_2025, title={Deutschlehrkräfte als Co-Designer in
    der designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln},
    volume={72}, DOI={<a href="https://doi.org/10.13109/mdge.2025.72.1.89">10.13109/mdge.2025.72.1.89</a>},
    number={1}, journal={Mitteilungen des Deutschen Germanistenverbandes}, author={Drepper,
    Laura and Uhl, Benjamin}, year={2025}, pages={89–110} }'
  chicago: 'Drepper, Laura, and Benjamin Uhl. “Deutschlehrkräfte als Co-Designer in
    der designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln.”
    <i>Mitteilungen des Deutschen Germanistenverbandes</i> 72, no. 1 (2025): 89–110.
    <a href="https://doi.org/10.13109/mdge.2025.72.1.89">https://doi.org/10.13109/mdge.2025.72.1.89</a>.'
  ieee: 'L. Drepper and B. Uhl, “Deutschlehrkräfte als Co-Designer in der designbasierten
    Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln,” <i>Mitteilungen
    des Deutschen Germanistenverbandes</i>, vol. 72, no. 1, pp. 89–110, 2025, doi:
    <a href="https://doi.org/10.13109/mdge.2025.72.1.89">10.13109/mdge.2025.72.1.89</a>.'
  mla: Drepper, Laura, and Benjamin Uhl. “Deutschlehrkräfte als Co-Designer in der
    designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln.”
    <i>Mitteilungen des Deutschen Germanistenverbandes</i>, vol. 72, no. 1, 2025,
    pp. 89–110, doi:<a href="https://doi.org/10.13109/mdge.2025.72.1.89">10.13109/mdge.2025.72.1.89</a>.
  short: L. Drepper, B. Uhl, Mitteilungen des Deutschen Germanistenverbandes 72 (2025)
    89–110.
date_created: 2026-04-22T09:42:41Z
date_updated: 2026-04-22T09:48:56Z
doi: 10.13109/mdge.2025.72.1.89
intvolume: '        72'
issue: '1'
language:
- iso: ger
page: 89-110
publication: Mitteilungen des Deutschen Germanistenverbandes
publication_identifier:
  issn:
  - 0418-9426
  - 2196-8756
publication_status: published
status: public
title: Deutschlehrkräfte als Co-Designer in der designbasierten Forschung. Wie Theorie
  und Praxis den Deutschunterricht weiterentwickeln
type: journal_article
user_id: '40689'
volume: 72
year: '2025'
...
---
_id: '63250'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    An
    initial-boundary value problem for\r\n                    <jats:disp-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned}
    \\left\\{ \\begin{array}{ll}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x
    + au_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad &amp;  x\\in \\Omega , \\ t&gt;0,
    \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta
    ) u_{xt}, \\qquad &amp;  x\\in \\Omega , \\ t&gt;0, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mtable>\r\n
    \                             <mml:mtr>\r\n                                <mml:mtd>\r\n
    \                                 <mml:mfenced>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:mtable>\r\n                                        <mml:mtr>\r\n
    \                                         <mml:mtd>\r\n                                            <mml:mrow>\r\n
    \                                             <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mi>tt</mml:mi>\r\n
    \                                               </mml:mrow>\r\n                                              </mml:msub>\r\n
    \                                             <mml:mo>=</mml:mo>\r\n                                              <mml:mrow>\r\n
    \                                               <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n
    \                                             <mml:mi>γ</mml:mi>\r\n                                              <mml:mrow>\r\n
    \                                               <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n
    \                                               <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n
    \                                             <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n
    \                                               </mml:mrow>\r\n                                              </mml:msub>\r\n
    \                                             <mml:msub>\r\n                                                <mml:mrow>\r\n
    \                                                 <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n
    \                                               <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n
    \                                             <mml:mo>+</mml:mo>\r\n                                              <mml:mi>a</mml:mi>\r\n
    \                                             <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n
    \                                               </mml:mrow>\r\n                                              </mml:msub>\r\n
    \                                             <mml:mo>-</mml:mo>\r\n                                              <mml:mrow>\r\n
    \                                               <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n
    \                                             <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n
    \                                               <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n
    \                                               <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n
    \                                             <mml:msub>\r\n                                                <mml:mrow>\r\n
    \                                                 <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n
    \                                               <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n
    \                                             <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n
    \                                           </mml:mrow>\r\n                                          </mml:mtd>\r\n
    \                                         <mml:mtd>\r\n                                            <mml:mrow>\r\n
    \                                             <mml:mi>x</mml:mi>\r\n                                              <mml:mo>∈</mml:mo>\r\n
    \                                             <mml:mi>Ω</mml:mi>\r\n                                              <mml:mo>,</mml:mo>\r\n
    \                                             <mml:mspace/>\r\n                                              <mml:mi>t</mml:mi>\r\n
    \                                             <mml:mo>&gt;</mml:mo>\r\n                                              <mml:mn>0</mml:mn>\r\n
    \                                             <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n
    \                                         </mml:mtd>\r\n                                        </mml:mtr>\r\n
    \                                       <mml:mtr>\r\n                                          <mml:mtd>\r\n
    \                                           <mml:mrow>\r\n                                              <mml:mrow/>\r\n
    \                                             <mml:mrow>\r\n                                                <mml:mo>[</mml:mo>\r\n
    \                                               <mml:mn>1</mml:mn>\r\n                                                <mml:mi>m</mml:mi>\r\n
    \                                               <mml:mi>m</mml:mi>\r\n                                                <mml:mo>]</mml:mo>\r\n
    \                                             </mml:mrow>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mi>Θ</mml:mi>\r\n                                                <mml:mi>t</mml:mi>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n
    \                                             <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n
    \                                               </mml:mrow>\r\n                                              </mml:msub>\r\n
    \                                             <mml:mo>+</mml:mo>\r\n                                              <mml:mi>γ</mml:mi>\r\n
    \                                             <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n
    \                                               <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n
    \                                             </mml:mrow>\r\n                                              <mml:msubsup>\r\n
    \                                               <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n
    \                                                 <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n
    \                                               <mml:mn>2</mml:mn>\r\n                                              </mml:msubsup>\r\n
    \                                             <mml:mo>-</mml:mo>\r\n                                              <mml:mi>f</mml:mi>\r\n
    \                                             <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n
    \                                               <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n
    \                                             </mml:mrow>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n
    \                                                 <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n
    \                                             <mml:mspace/>\r\n                                            </mml:mrow>\r\n
    \                                         </mml:mtd>\r\n                                          <mml:mtd>\r\n
    \                                           <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n
    \                                             <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n
    \                                             <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n
    \                                             <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n
    \                                             <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n
    \                                           </mml:mrow>\r\n                                          </mml:mtd>\r\n
    \                                       </mml:mtr>\r\n                                      </mml:mtable>\r\n
    \                                   </mml:mrow>\r\n                                  </mml:mfenced>\r\n
    \                               </mml:mtd>\r\n                              </mml:mtr>\r\n
    \                           </mml:mtable>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:disp-formula>\r\n                    is considered
    in an open bounded real interval\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$\\Omega
    $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mi>Ω</mml:mi>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   . Under the assumption that\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma
    \\in C^0([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:mi>γ</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n
    \                           <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n
    \                             <mml:mn>0</mml:mn>\r\n                            </mml:msup>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n
    \                             <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n
    \                               <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n
    \                               <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n
    \                             </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n
    \                           </mml:mrow>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$f\\in
    C^0([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n
    \                           <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>C</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n
    \                           </mml:msup>\r\n                            <mml:mrow>\r\n
    \                             <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n
    \                               <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   are such that\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$f(0)=0$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n
    \                           <mml:mo>(</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                           <mml:mo>)</mml:mo>\r\n                            <mml:mo>=</mml:mo>\r\n
    \                           <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    , and\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$k_\\gamma
    \\le \\gamma \\le K_\\gamma $$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:msub>\r\n                              <mml:mi>k</mml:mi>\r\n
    \                             <mml:mi>γ</mml:mi>\r\n                            </mml:msub>\r\n
    \                           <mml:mo>≤</mml:mo>\r\n                            <mml:mi>γ</mml:mi>\r\n
    \                           <mml:mo>≤</mml:mo>\r\n                            <mml:msub>\r\n
    \                             <mml:mi>K</mml:mi>\r\n                              <mml:mi>γ</mml:mi>\r\n
    \                           </mml:msub>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    as well as\r\n
    \                   <jats:disp-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$\\begin{aligned} |f(\\xi )| \\le K_f
    \\cdot (\\xi +1)^\\alpha \\qquad \\hbox {for all } \\xi \\ge 0 \\end{aligned}$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mtable>\r\n
    \                             <mml:mtr>\r\n                                <mml:mtd>\r\n
    \                                 <mml:mrow>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:mo>|</mml:mo>\r\n                                      <mml:mi>f</mml:mi>\r\n
    \                                     <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n
    \                                       <mml:mi>ξ</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n
    \                                     </mml:mrow>\r\n                                      <mml:mo>|</mml:mo>\r\n
    \                                   </mml:mrow>\r\n                                    <mml:mo>≤</mml:mo>\r\n
    \                                   <mml:msub>\r\n                                      <mml:mi>K</mml:mi>\r\n
    \                                     <mml:mi>f</mml:mi>\r\n                                    </mml:msub>\r\n
    \                                   <mml:mo>·</mml:mo>\r\n                                    <mml:msup>\r\n
    \                                     <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n
    \                                       <mml:mi>ξ</mml:mi>\r\n                                        <mml:mo>+</mml:mo>\r\n
    \                                       <mml:mn>1</mml:mn>\r\n                                        <mml:mo>)</mml:mo>\r\n
    \                                     </mml:mrow>\r\n                                      <mml:mi>α</mml:mi>\r\n
    \                                   </mml:msup>\r\n                                    <mml:mspace/>\r\n
    \                                   <mml:mtext>for all</mml:mtext>\r\n                                    <mml:mspace/>\r\n
    \                                   <mml:mi>ξ</mml:mi>\r\n                                    <mml:mo>≥</mml:mo>\r\n
    \                                   <mml:mn>0</mml:mn>\r\n                                  </mml:mrow>\r\n
    \                               </mml:mtd>\r\n                              </mml:mtr>\r\n
    \                           </mml:mtable>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:disp-formula>\r\n                    with some\r\n
    \                   <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$k_\\gamma&gt;0, K_\\gamma&gt;0, K_f&gt;0$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:msub>\r\n
    \                             <mml:mi>k</mml:mi>\r\n                              <mml:mi>γ</mml:mi>\r\n
    \                           </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n
    \                           <mml:mn>0</mml:mn>\r\n                            <mml:mo>,</mml:mo>\r\n
    \                           <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n
    \                             <mml:mi>γ</mml:mi>\r\n                            </mml:msub>\r\n
    \                           <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                           <mml:mo>,</mml:mo>\r\n                            <mml:msub>\r\n
    \                             <mml:mi>K</mml:mi>\r\n                              <mml:mi>f</mml:mi>\r\n
    \                           </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n
    \                           <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$\\alpha
    &lt;\\frac{3}{2}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mi>α</mml:mi>\r\n
    \                           <mml:mo>&lt;</mml:mo>\r\n                            <mml:mfrac>\r\n
    \                             <mml:mn>3</mml:mn>\r\n                              <mml:mn>2</mml:mn>\r\n
    \                           </mml:mfrac>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    , for all suitably
    regular initial data of arbitrary size a statement on global existence of a global
    weak solution is derived. By particularly covering the thermodynamically consistent
    choice\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$f\\equiv id$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:mi>f</mml:mi>\r\n                            <mml:mo>≡</mml:mo>\r\n
    \                           <mml:mi>i</mml:mi>\r\n                            <mml:mi>d</mml:mi>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   of predominant physical relevance, this appears to go beyond
    previous related literature which seems to either rely on independence of\r\n
    \                   <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$\\gamma $$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mi>γ</mml:mi>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    on\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$\\Theta
    $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mi>Θ</mml:mi>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   , or to operate on finite time intervals.\r\n                  </jats:p>"
article_number: '192'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Large-data solutions in one-dimensional thermoviscoelasticity involving
    temperature-dependent viscosities. <i>Zeitschrift für angewandte Mathematik und
    Physik</i>. 2025;76(5). doi:<a href="https://doi.org/10.1007/s00033-025-02582-y">10.1007/s00033-025-02582-y</a>
  apa: Winkler, M. (2025). Large-data solutions in one-dimensional thermoviscoelasticity
    involving temperature-dependent viscosities. <i>Zeitschrift Für Angewandte Mathematik
    Und Physik</i>, <i>76</i>(5), Article 192. <a href="https://doi.org/10.1007/s00033-025-02582-y">https://doi.org/10.1007/s00033-025-02582-y</a>
  bibtex: '@article{Winkler_2025, title={Large-data solutions in one-dimensional thermoviscoelasticity
    involving temperature-dependent viscosities}, volume={76}, DOI={<a href="https://doi.org/10.1007/s00033-025-02582-y">10.1007/s00033-025-02582-y</a>},
    number={5192}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer
    Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }'
  chicago: Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity
    Involving Temperature-Dependent Viscosities.” <i>Zeitschrift Für Angewandte Mathematik
    Und Physik</i> 76, no. 5 (2025). <a href="https://doi.org/10.1007/s00033-025-02582-y">https://doi.org/10.1007/s00033-025-02582-y</a>.
  ieee: 'M. Winkler, “Large-data solutions in one-dimensional thermoviscoelasticity
    involving temperature-dependent viscosities,” <i>Zeitschrift für angewandte Mathematik
    und Physik</i>, vol. 76, no. 5, Art. no. 192, 2025, doi: <a href="https://doi.org/10.1007/s00033-025-02582-y">10.1007/s00033-025-02582-y</a>.'
  mla: Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity
    Involving Temperature-Dependent Viscosities.” <i>Zeitschrift Für Angewandte Mathematik
    Und Physik</i>, vol. 76, no. 5, 192, Springer Science and Business Media LLC,
    2025, doi:<a href="https://doi.org/10.1007/s00033-025-02582-y">10.1007/s00033-025-02582-y</a>.
  short: M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 76 (2025).
date_created: 2025-12-18T19:03:19Z
date_updated: 2026-04-23T12:20:44Z
doi: 10.1007/s00033-025-02582-y
intvolume: '        76'
issue: '5'
language:
- iso: eng
project:
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
publication: Zeitschrift für angewandte Mathematik und Physik
publication_identifier:
  issn:
  - 0044-2275
  - 1420-9039
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent
  viscosities
type: journal_article
user_id: '31496'
volume: 76
year: '2025'
...
---
_id: '63249'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    The
    model\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l}u_{tt}
    = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big
    )_x, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta
    ) u_{xt}, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:mtable>\r\n                              <mml:mtr>\r\n
    \                               <mml:mtd>\r\n                                  <mml:mfenced>\r\n
    \                                   <mml:mrow>\r\n                                      <mml:mtable>\r\n
    \                                       <mml:mtr>\r\n                                          <mml:mtd>\r\n
    \                                           <mml:mrow>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n
    \                                                 <mml:mi>tt</mml:mi>\r\n                                                </mml:mrow>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n
    \                                             <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n
    \                                             </mml:mrow>\r\n                                              <mml:mi>γ</mml:mi>\r\n
    \                                             <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n
    \                                               <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n
    \                                             </mml:mrow>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n
    \                                                 <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n
    \                                             </mml:msub>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n
    \                                               </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>+</mml:mo>\r\n
    \                                             <mml:mi>a</mml:mi>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n
    \                                                 <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>-</mml:mo>\r\n
    \                                             <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n
    \                                             </mml:mrow>\r\n                                              <mml:mi>f</mml:mi>\r\n
    \                                             <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n
    \                                               <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n
    \                                             </mml:mrow>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n
    \                                               </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n
    \                                           </mml:mrow>\r\n                                          </mml:mtd>\r\n
    \                                       </mml:mtr>\r\n                                        <mml:mtr>\r\n
    \                                         <mml:mtd>\r\n                                            <mml:mrow>\r\n
    \                                             <mml:mrow/>\r\n                                              <mml:mrow>\r\n
    \                                               <mml:mo>[</mml:mo>\r\n                                                <mml:mn>1</mml:mn>\r\n
    \                                               <mml:mi>m</mml:mi>\r\n                                                <mml:mi>m</mml:mi>\r\n
    \                                               <mml:mo>]</mml:mo>\r\n                                              </mml:mrow>\r\n
    \                                             <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n
    \                                               <mml:mi>t</mml:mi>\r\n                                              </mml:msub>\r\n
    \                                             <mml:mo>=</mml:mo>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mi>Θ</mml:mi>\r\n                                                <mml:mrow>\r\n
    \                                                 <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>+</mml:mo>\r\n
    \                                             <mml:mi>γ</mml:mi>\r\n                                              <mml:mrow>\r\n
    \                                               <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n
    \                                               <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n
    \                                             <mml:msubsup>\r\n                                                <mml:mi>u</mml:mi>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n
    \                                               </mml:mrow>\r\n                                                <mml:mn>2</mml:mn>\r\n
    \                                             </mml:msubsup>\r\n                                              <mml:mo>-</mml:mo>\r\n
    \                                             <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n
    \                                               <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n
    \                                               <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n
    \                                             <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n
    \                                               </mml:mrow>\r\n                                              </mml:msub>\r\n
    \                                             <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n
    \                                         </mml:mtd>\r\n                                        </mml:mtr>\r\n
    \                                     </mml:mtable>\r\n                                    </mml:mrow>\r\n
    \                                 </mml:mfenced>\r\n                                </mml:mtd>\r\n
    \                             </mml:mtr>\r\n                            </mml:mtable>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:disp-formula>\r\n
    \                   for thermoviscoelastic evolution in one-dimensional Kelvin–Voigt
    materials is considered. By means of an approach based on maximal Sobolev regularity
    theory of scalar parabolic equations, it is shown that if\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma
    _0&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:msub>\r\n
    \                             <mml:mi>γ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n
    \                           </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n
    \                           <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    is fixed, then
    there exists\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$\\delta =\\delta (\\gamma _0)&gt;0$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mi>δ</mml:mi>\r\n
    \                           <mml:mo>=</mml:mo>\r\n                            <mml:mi>δ</mml:mi>\r\n
    \                           <mml:mo>(</mml:mo>\r\n                            <mml:msub>\r\n
    \                             <mml:mi>γ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n
    \                           </mml:msub>\r\n                            <mml:mo>)</mml:mo>\r\n
    \                           <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   with the property that for suitably regular initial data of
    arbitrary size an associated initial boundary value problem posed in an open bounded
    interval admits a global classical solution whenever\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma
    \\in C^2([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:mi>γ</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n
    \                           <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n
    \                             <mml:mn>2</mml:mn>\r\n                            </mml:msup>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n
    \                             <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n
    \                               <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n
    \                               <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n
    \                             </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n
    \                           </mml:mrow>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$f\\in
    C^2([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n
    \                           <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>C</mml:mi>\r\n                              <mml:mn>2</mml:mn>\r\n
    \                           </mml:msup>\r\n                            <mml:mrow>\r\n
    \                             <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n
    \                               <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   are such that\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$f(0)=0$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n
    \                           <mml:mo>(</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                           <mml:mo>)</mml:mo>\r\n                            <mml:mo>=</mml:mo>\r\n
    \                           <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$|f(\\xi
    )| \\le K_f \\cdot (\\xi +1)^\\alpha $$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n
    \                             <mml:mi>f</mml:mi>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>ξ</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mo>|</mml:mo>\r\n                            </mml:mrow>\r\n
    \                           <mml:mo>≤</mml:mo>\r\n                            <mml:msub>\r\n
    \                             <mml:mi>K</mml:mi>\r\n                              <mml:mi>f</mml:mi>\r\n
    \                           </mml:msub>\r\n                            <mml:mo>·</mml:mo>\r\n
    \                           <mml:msup>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>ξ</mml:mi>\r\n
    \                               <mml:mo>+</mml:mo>\r\n                                <mml:mn>1</mml:mn>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mi>α</mml:mi>\r\n                            </mml:msup>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   for all\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$\\xi \\ge 0$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:mi>ξ</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n
    \                           <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    and some\r\n
    \                   <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$K_f&gt;0$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n
    \                             <mml:mi>f</mml:mi>\r\n                            </mml:msub>\r\n
    \                           <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$\\alpha &lt;\\frac{3}{2}$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mi>α</mml:mi>\r\n
    \                           <mml:mo>&lt;</mml:mo>\r\n                            <mml:mfrac>\r\n
    \                             <mml:mn>3</mml:mn>\r\n                              <mml:mn>2</mml:mn>\r\n
    \                           </mml:mfrac>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    , and that\r\n
    \                   <jats:disp-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$\\begin{aligned} \\gamma _0 \\le \\gamma
    (\\xi ) \\le \\gamma _0 + \\delta \\qquad \\hbox {for all } \\xi \\ge 0. \\end{aligned}$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mtable>\r\n
    \                             <mml:mtr>\r\n                                <mml:mtd>\r\n
    \                                 <mml:mrow>\r\n                                    <mml:msub>\r\n
    \                                     <mml:mi>γ</mml:mi>\r\n                                      <mml:mn>0</mml:mn>\r\n
    \                                   </mml:msub>\r\n                                    <mml:mo>≤</mml:mo>\r\n
    \                                   <mml:mi>γ</mml:mi>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:mo>(</mml:mo>\r\n                                      <mml:mi>ξ</mml:mi>\r\n
    \                                     <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n
    \                                   <mml:mo>≤</mml:mo>\r\n                                    <mml:msub>\r\n
    \                                     <mml:mi>γ</mml:mi>\r\n                                      <mml:mn>0</mml:mn>\r\n
    \                                   </mml:msub>\r\n                                    <mml:mo>+</mml:mo>\r\n
    \                                   <mml:mi>δ</mml:mi>\r\n                                    <mml:mspace/>\r\n
    \                                   <mml:mtext>for all</mml:mtext>\r\n                                    <mml:mspace/>\r\n
    \                                   <mml:mi>ξ</mml:mi>\r\n                                    <mml:mo>≥</mml:mo>\r\n
    \                                   <mml:mn>0</mml:mn>\r\n                                    <mml:mo>.</mml:mo>\r\n
    \                                 </mml:mrow>\r\n                                </mml:mtd>\r\n
    \                             </mml:mtr>\r\n                            </mml:mtable>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:disp-formula>\r\n
    \                   This is supplemented by a statement on global existence of
    certain strong solutions, particularly continuous in both components, under weaker
    conditions on the initial data.\r\n                  </jats:p>"
article_number: '108'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Large-data regular solutions in a one-dimensional thermoviscoelastic
    evolution problem involving temperature-dependent viscosities. <i>Journal of Evolution
    Equations</i>. 2025;25(4). doi:<a href="https://doi.org/10.1007/s00028-025-01144-z">10.1007/s00028-025-01144-z</a>
  apa: Winkler, M. (2025). Large-data regular solutions in a one-dimensional thermoviscoelastic
    evolution problem involving temperature-dependent viscosities. <i>Journal of Evolution
    Equations</i>, <i>25</i>(4), Article 108. <a href="https://doi.org/10.1007/s00028-025-01144-z">https://doi.org/10.1007/s00028-025-01144-z</a>
  bibtex: '@article{Winkler_2025, title={Large-data regular solutions in a one-dimensional
    thermoviscoelastic evolution problem involving temperature-dependent viscosities},
    volume={25}, DOI={<a href="https://doi.org/10.1007/s00028-025-01144-z">10.1007/s00028-025-01144-z</a>},
    number={4108}, journal={Journal of Evolution Equations}, publisher={Springer Science
    and Business Media LLC}, author={Winkler, Michael}, year={2025} }'
  chicago: Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic
    Evolution Problem Involving Temperature-Dependent Viscosities.” <i>Journal of
    Evolution Equations</i> 25, no. 4 (2025). <a href="https://doi.org/10.1007/s00028-025-01144-z">https://doi.org/10.1007/s00028-025-01144-z</a>.
  ieee: 'M. Winkler, “Large-data regular solutions in a one-dimensional thermoviscoelastic
    evolution problem involving temperature-dependent viscosities,” <i>Journal of
    Evolution Equations</i>, vol. 25, no. 4, Art. no. 108, 2025, doi: <a href="https://doi.org/10.1007/s00028-025-01144-z">10.1007/s00028-025-01144-z</a>.'
  mla: Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic
    Evolution Problem Involving Temperature-Dependent Viscosities.” <i>Journal of
    Evolution Equations</i>, vol. 25, no. 4, 108, Springer Science and Business Media
    LLC, 2025, doi:<a href="https://doi.org/10.1007/s00028-025-01144-z">10.1007/s00028-025-01144-z</a>.
  short: M. Winkler, Journal of Evolution Equations 25 (2025).
date_created: 2025-12-18T19:02:51Z
date_updated: 2026-04-23T12:19:51Z
doi: 10.1007/s00028-025-01144-z
intvolume: '        25'
issue: '4'
language:
- iso: eng
project:
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
publication: Journal of Evolution Equations
publication_identifier:
  issn:
  - 1424-3199
  - 1424-3202
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Large-data regular solutions in a one-dimensional thermoviscoelastic evolution
  problem involving temperature-dependent viscosities
type: journal_article
user_id: '31496'
volume: 25
year: '2025'
...
---
_id: '63246'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    The
    hyperbolic-parabolic model\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{ll}
    u_{tt} = u_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad &amp;  x\\in \\Omega ,
    \\ t&gt;0, \\\\ \\Theta _t = \\Theta _{xx} - f(\\Theta ) u_{xt}, \\qquad &amp;
    \ x\\in \\Omega , \\ t&gt;0, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mtable>\r\n
    \                             <mml:mtr>\r\n                                <mml:mtd>\r\n
    \                                 <mml:mfenced>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:mtable>\r\n                                        <mml:mtr>\r\n
    \                                         <mml:mtd>\r\n                                            <mml:mrow>\r\n
    \                                             <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mi>tt</mml:mi>\r\n
    \                                               </mml:mrow>\r\n                                              </mml:msub>\r\n
    \                                             <mml:mo>=</mml:mo>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n
    \                                                 <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>-</mml:mo>\r\n
    \                                             <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n
    \                                             </mml:mrow>\r\n                                              <mml:mi>f</mml:mi>\r\n
    \                                             <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n
    \                                               <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n
    \                                             </mml:mrow>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n
    \                                               </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n
    \                                             <mml:mspace/>\r\n                                            </mml:mrow>\r\n
    \                                         </mml:mtd>\r\n                                          <mml:mtd>\r\n
    \                                           <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n
    \                                             <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n
    \                                             <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n
    \                                             <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n
    \                                             <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n
    \                                           </mml:mrow>\r\n                                          </mml:mtd>\r\n
    \                                       </mml:mtr>\r\n                                        <mml:mtr>\r\n
    \                                         <mml:mtd>\r\n                                            <mml:mrow>\r\n
    \                                             <mml:mrow/>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mi>Θ</mml:mi>\r\n                                                <mml:mi>t</mml:mi>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n
    \                                             <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n
    \                                               <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n
    \                                               </mml:mrow>\r\n                                              </mml:msub>\r\n
    \                                             <mml:mo>-</mml:mo>\r\n                                              <mml:mi>f</mml:mi>\r\n
    \                                             <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n
    \                                               <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n
    \                                             </mml:mrow>\r\n                                              <mml:msub>\r\n
    \                                               <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n
    \                                                 <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n
    \                                             </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n
    \                                             <mml:mspace/>\r\n                                            </mml:mrow>\r\n
    \                                         </mml:mtd>\r\n                                          <mml:mtd>\r\n
    \                                           <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n
    \                                             <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n
    \                                             <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n
    \                                             <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n
    \                                             <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n
    \                                           </mml:mrow>\r\n                                          </mml:mtd>\r\n
    \                                       </mml:mtr>\r\n                                      </mml:mtable>\r\n
    \                                   </mml:mrow>\r\n                                  </mml:mfenced>\r\n
    \                               </mml:mtd>\r\n                              </mml:mtr>\r\n
    \                           </mml:mtable>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:disp-formula>\r\n                    for the evolution
    of the displacement variable\r\n                    <jats:italic>u</jats:italic>\r\n
    \                   and the temperature\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$\\Theta
    \\ge 0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mi>Θ</mml:mi>\r\n
    \                           <mml:mo>≥</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   during thermoelastic interaction in a one-dimensional bounded
    interval\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$\\Omega $$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mi>Ω</mml:mi>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    is considered.
    Whereas the literature has provided comprehensive results on global solutions
    for sufficiently regular initial data\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$(u_0,u_{0t},\\Theta
    _0)=(u,u_t,\\Theta )|_{t=0}$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n
    \                             <mml:msub>\r\n                                <mml:mi>u</mml:mi>\r\n
    \                               <mml:mn>0</mml:mn>\r\n                              </mml:msub>\r\n
    \                             <mml:mo>,</mml:mo>\r\n                              <mml:msub>\r\n
    \                               <mml:mi>u</mml:mi>\r\n                                <mml:mrow>\r\n
    \                                 <mml:mn>0</mml:mn>\r\n                                  <mml:mi>t</mml:mi>\r\n
    \                               </mml:mrow>\r\n                              </mml:msub>\r\n
    \                             <mml:mo>,</mml:mo>\r\n                              <mml:msub>\r\n
    \                               <mml:mi>Θ</mml:mi>\r\n                                <mml:mn>0</mml:mn>\r\n
    \                             </mml:msub>\r\n                              <mml:mo>)</mml:mo>\r\n
    \                           </mml:mrow>\r\n                            <mml:mo>=</mml:mo>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n
    \                             <mml:mi>u</mml:mi>\r\n                              <mml:mo>,</mml:mo>\r\n
    \                             <mml:msub>\r\n                                <mml:mi>u</mml:mi>\r\n
    \                               <mml:mi>t</mml:mi>\r\n                              </mml:msub>\r\n
    \                             <mml:mo>,</mml:mo>\r\n                              <mml:mi>Θ</mml:mi>\r\n
    \                             <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n
    \                           <mml:msub>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>|</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mrow>\r\n                                <mml:mi>t</mml:mi>\r\n
    \                               <mml:mo>=</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n
    \                             </mml:mrow>\r\n                            </mml:msub>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   when\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$f\\equiv id$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:mi>f</mml:mi>\r\n                            <mml:mo>≡</mml:mo>\r\n
    \                           <mml:mi>i</mml:mi>\r\n                            <mml:mi>d</mml:mi>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   , it seems to have remained open so far how far a solution
    theory can be built solely on the two fundamental physical principles of energy
    conservation and entropy nondecrease. The present manuscript addresses this by
    asserting global existence of weak solutions under assumptions which are energy-
    and entropy-minimal in the sense of allowing for any initial data\r\n                    <jats:inline-formula>\r\n
    \                     <jats:alternatives>\r\n                        <jats:tex-math>$$u_0\\in
    W_0^{1,2}(\\Omega )$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:msub>\r\n
    \                             <mml:mi>u</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n
    \                           </mml:msub>\r\n                            <mml:mo>∈</mml:mo>\r\n
    \                           <mml:msubsup>\r\n                              <mml:mi>W</mml:mi>\r\n
    \                             <mml:mn>0</mml:mn>\r\n                              <mml:mrow>\r\n
    \                               <mml:mn>1</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n
    \                               <mml:mn>2</mml:mn>\r\n                              </mml:mrow>\r\n
    \                           </mml:msubsup>\r\n                            <mml:mrow>\r\n
    \                             <mml:mo>(</mml:mo>\r\n                              <mml:mi>Ω</mml:mi>\r\n
    \                             <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   ,\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$u_{0t} \\in L^2(\\Omega )$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:msub>\r\n
    \                             <mml:mi>u</mml:mi>\r\n                              <mml:mrow>\r\n
    \                               <mml:mn>0</mml:mn>\r\n                                <mml:mi>t</mml:mi>\r\n
    \                             </mml:mrow>\r\n                            </mml:msub>\r\n
    \                           <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>L</mml:mi>\r\n                              <mml:mn>2</mml:mn>\r\n
    \                           </mml:msup>\r\n                            <mml:mrow>\r\n
    \                             <mml:mo>(</mml:mo>\r\n                              <mml:mi>Ω</mml:mi>\r\n
    \                             <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$0\\le \\Theta _0\\in L^1(\\Omega )$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                           <mml:mo>≤</mml:mo>\r\n                            <mml:msub>\r\n
    \                             <mml:mi>Θ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n
    \                           </mml:msub>\r\n                            <mml:mo>∈</mml:mo>\r\n
    \                           <mml:msup>\r\n                              <mml:mi>L</mml:mi>\r\n
    \                             <mml:mn>1</mml:mn>\r\n                            </mml:msup>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n
    \                             <mml:mi>Ω</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n
    \                           </mml:mrow>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    , and which
    apply to arbitrary\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$f\\in C^1([0,\\infty ))$$</jats:tex-math>\r\n
    \                       <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                         <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n
    \                           <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>C</mml:mi>\r\n                              <mml:mn>1</mml:mn>\r\n
    \                           </mml:msup>\r\n                            <mml:mrow>\r\n
    \                             <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n
    \                               <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n
    \                               <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   with\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$f(0)=0$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:mi>f</mml:mi>\r\n                            <mml:mo>(</mml:mo>\r\n
    \                           <mml:mn>0</mml:mn>\r\n                            <mml:mo>)</mml:mo>\r\n
    \                           <mml:mo>=</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$f'&gt;0$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:msup>\r\n                              <mml:mi>f</mml:mi>\r\n
    \                             <mml:mo>′</mml:mo>\r\n                            </mml:msup>\r\n
    \                           <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                         </mml:mrow>\r\n                        </mml:math>\r\n
    \                     </jats:alternatives>\r\n                    </jats:inline-formula>\r\n
    \                   on\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n
    \                       <jats:tex-math>$$[0,\\infty )$$</jats:tex-math>\r\n                        <mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n
    \                           <mml:mo>[</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                           <mml:mo>,</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n
    \                           <mml:mo>)</mml:mo>\r\n                          </mml:mrow>\r\n
    \                       </mml:math>\r\n                      </jats:alternatives>\r\n
    \                   </jats:inline-formula>\r\n                    .\r\n                  </jats:p>"
article_number: '1'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Rough solutions in one-dimensional nonlinear thermoelasticity. <i>Calculus
    of Variations and Partial Differential Equations</i>. 2025;65(1). doi:<a href="https://doi.org/10.1007/s00526-025-03170-8">10.1007/s00526-025-03170-8</a>
  apa: Winkler, M. (2025). Rough solutions in one-dimensional nonlinear thermoelasticity.
    <i>Calculus of Variations and Partial Differential Equations</i>, <i>65</i>(1),
    Article 1. <a href="https://doi.org/10.1007/s00526-025-03170-8">https://doi.org/10.1007/s00526-025-03170-8</a>
  bibtex: '@article{Winkler_2025, title={Rough solutions in one-dimensional nonlinear
    thermoelasticity}, volume={65}, DOI={<a href="https://doi.org/10.1007/s00526-025-03170-8">10.1007/s00526-025-03170-8</a>},
    number={11}, journal={Calculus of Variations and Partial Differential Equations},
    publisher={Springer Science and Business Media LLC}, author={Winkler, Michael},
    year={2025} }'
  chicago: Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.”
    <i>Calculus of Variations and Partial Differential Equations</i> 65, no. 1 (2025).
    <a href="https://doi.org/10.1007/s00526-025-03170-8">https://doi.org/10.1007/s00526-025-03170-8</a>.
  ieee: 'M. Winkler, “Rough solutions in one-dimensional nonlinear thermoelasticity,”
    <i>Calculus of Variations and Partial Differential Equations</i>, vol. 65, no.
    1, Art. no. 1, 2025, doi: <a href="https://doi.org/10.1007/s00526-025-03170-8">10.1007/s00526-025-03170-8</a>.'
  mla: Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.”
    <i>Calculus of Variations and Partial Differential Equations</i>, vol. 65, no.
    1, 1, Springer Science and Business Media LLC, 2025, doi:<a href="https://doi.org/10.1007/s00526-025-03170-8">10.1007/s00526-025-03170-8</a>.
  short: M. Winkler, Calculus of Variations and Partial Differential Equations 65
    (2025).
date_created: 2025-12-18T19:01:02Z
date_updated: 2026-04-23T12:18:59Z
doi: 10.1007/s00526-025-03170-8
intvolume: '        65'
issue: '1'
language:
- iso: eng
project:
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
publication: Calculus of Variations and Partial Differential Equations
publication_identifier:
  issn:
  - 0944-2669
  - 1432-0835
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Rough solutions in one-dimensional nonlinear thermoelasticity
type: journal_article
user_id: '31496'
volume: 65
year: '2025'
...
---
_id: '45827'
author:
- first_name: Chuntian
  full_name: Cao, Chuntian
  last_name: Cao
- first_name: Hans-Georg
  full_name: Steinrück, Hans-Georg
  id: '84268'
  last_name: Steinrück
  orcid: 0000-0001-6373-0877
citation:
  ama: 'Cao C, Steinrück H-G. Molecular-scale synchrotron X-ray investigations of
    solid-liquid interfaces in lithium-ion batteries. In: <i>Reference Module in Chemistry,
    Molecular Sciences and Chemical Engineering</i>. Elsevier; 2024:391-416. doi:<a
    href="https://doi.org/10.1016/b978-0-323-85669-0.00105-7">10.1016/b978-0-323-85669-0.00105-7</a>'
  apa: Cao, C., &#38; Steinrück, H.-G. (2024). Molecular-scale synchrotron X-ray investigations
    of solid-liquid interfaces in lithium-ion batteries. In <i>Reference Module in
    Chemistry, Molecular Sciences and Chemical Engineering</i> (pp. 391–416). Elsevier.
    <a href="https://doi.org/10.1016/b978-0-323-85669-0.00105-7">https://doi.org/10.1016/b978-0-323-85669-0.00105-7</a>
  bibtex: '@inbook{Cao_Steinrück_2024, title={Molecular-scale synchrotron X-ray investigations
    of solid-liquid interfaces in lithium-ion batteries}, DOI={<a href="https://doi.org/10.1016/b978-0-323-85669-0.00105-7">10.1016/b978-0-323-85669-0.00105-7</a>},
    booktitle={Reference Module in Chemistry, Molecular Sciences and Chemical Engineering},
    publisher={Elsevier}, author={Cao, Chuntian and Steinrück, Hans-Georg}, year={2024},
    pages={391–416} }'
  chicago: Cao, Chuntian, and Hans-Georg Steinrück. “Molecular-Scale Synchrotron X-Ray
    Investigations of Solid-Liquid Interfaces in Lithium-Ion Batteries.” In <i>Reference
    Module in Chemistry, Molecular Sciences and Chemical Engineering</i>, 391–416.
    Elsevier, 2024. <a href="https://doi.org/10.1016/b978-0-323-85669-0.00105-7">https://doi.org/10.1016/b978-0-323-85669-0.00105-7</a>.
  ieee: C. Cao and H.-G. Steinrück, “Molecular-scale synchrotron X-ray investigations
    of solid-liquid interfaces in lithium-ion batteries,” in <i>Reference Module in
    Chemistry, Molecular Sciences and Chemical Engineering</i>, Elsevier, 2024, pp.
    391–416.
  mla: Cao, Chuntian, and Hans-Georg Steinrück. “Molecular-Scale Synchrotron X-Ray
    Investigations of Solid-Liquid Interfaces in Lithium-Ion Batteries.” <i>Reference
    Module in Chemistry, Molecular Sciences and Chemical Engineering</i>, Elsevier,
    2024, pp. 391–416, doi:<a href="https://doi.org/10.1016/b978-0-323-85669-0.00105-7">10.1016/b978-0-323-85669-0.00105-7</a>.
  short: 'C. Cao, H.-G. Steinrück, in: Reference Module in Chemistry, Molecular Sciences
    and Chemical Engineering, Elsevier, 2024, pp. 391–416.'
date_created: 2023-07-01T15:48:53Z
date_updated: 2023-10-03T09:10:39Z
department:
- _id: '633'
doi: 10.1016/b978-0-323-85669-0.00105-7
language:
- iso: eng
page: 391-416
publication: Reference Module in Chemistry, Molecular Sciences and Chemical Engineering
publication_identifier:
  isbn:
  - '9780124095472'
publication_status: published
publisher: Elsevier
status: public
title: Molecular-scale synchrotron X-ray investigations of solid-liquid interfaces
  in lithium-ion batteries
type: book_chapter
user_id: '84268'
year: '2024'
...