---
_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
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    \                                               <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
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    \                                               </mml:mrow>\r\n                                              </mml:msub>\r\n
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    \                                                 <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'
...
---
_id: '48363'
author:
- first_name: Anne
  full_name: Foerster, Anne
  id: '67185'
  last_name: Foerster
citation:
  ama: 'Foerster A. The Swineherd’s Wife who Scolded the King. In: Butler E, Dumitrescu
    I, eds. <i>Women in Early Medieval England</i>. The New Middle Ages. Springer
    Textbook.'
  apa: Foerster, A. (n.d.). The Swineherd’s Wife who Scolded the King. In E. Butler
    &#38; I. Dumitrescu (Eds.), <i>Women in Early Medieval England</i>. Springer Textbook.
  bibtex: '@inbook{Foerster, series={The New Middle Ages}, title={The Swineherd’s
    Wife who Scolded the King}, booktitle={Women in Early Medieval England}, publisher={Springer
    Textbook}, author={Foerster, Anne}, editor={Butler, Emily and Dumitrescu, Irina},
    collection={The New Middle Ages} }'
  chicago: Foerster, Anne. “The Swineherd’s Wife Who Scolded the King.” In <i>Women
    in Early Medieval England</i>, edited by Emily Butler and Irina Dumitrescu. The
    New Middle Ages. Springer Textbook, n.d.
  ieee: A. Foerster, “The Swineherd’s Wife who Scolded the King,” in <i>Women in Early
    Medieval England</i>, E. Butler and I. Dumitrescu, Eds. Springer Textbook.
  mla: Foerster, Anne. “The Swineherd’s Wife Who Scolded the King.” <i>Women in Early
    Medieval England</i>, edited by Emily Butler and Irina Dumitrescu, Springer Textbook.
  short: 'A. Foerster, in: E. Butler, I. Dumitrescu (Eds.), Women in Early Medieval
    England, Springer Textbook, n.d.'
date_created: 2023-10-20T11:01:26Z
date_updated: 2023-10-20T11:03:21Z
department:
- _id: '6'
editor:
- first_name: Emily
  full_name: Butler, Emily
  last_name: Butler
- first_name: Irina
  full_name: Dumitrescu, Irina
  last_name: Dumitrescu
language:
- iso: eng
publication: Women in Early Medieval England
publication_status: submitted
publisher: Springer Textbook
series_title: The New Middle Ages
status: public
title: The Swineherd’s Wife who Scolded the King
type: encyclopedia_article
user_id: '67185'
year: '2024'
...
---
_id: '48362'
author:
- first_name: Anne
  full_name: Foerster, Anne
  id: '67185'
  last_name: Foerster
citation:
  ama: 'Foerster A. Eadburh of Wessex. In: Butler E, Dumitrescu I, eds. <i>Women in
    Early Medieval England</i>. The New Middle Ages. Springer Textbook.'
  apa: Foerster, A. (n.d.). Eadburh of Wessex. In E. Butler &#38; I. Dumitrescu (Eds.),
    <i>Women in Early Medieval England</i>. Springer Textbook.
  bibtex: '@inbook{Foerster, series={The New Middle Ages}, title={Eadburh of Wessex},
    booktitle={Women in Early Medieval England}, publisher={Springer Textbook}, author={Foerster,
    Anne}, editor={Butler, Emily and Dumitrescu, Irina}, collection={The New Middle
    Ages} }'
  chicago: Foerster, Anne. “Eadburh of Wessex.” In <i>Women in Early Medieval England</i>,
    edited by Emily Butler and Irina Dumitrescu. The New Middle Ages. Springer Textbook,
    n.d.
  ieee: A. Foerster, “Eadburh of Wessex,” in <i>Women in Early Medieval England</i>,
    E. Butler and I. Dumitrescu, Eds. Springer Textbook.
  mla: Foerster, Anne. “Eadburh of Wessex.” <i>Women in Early Medieval England</i>,
    edited by Emily Butler and Irina Dumitrescu, Springer Textbook.
  short: 'A. Foerster, in: E. Butler, I. Dumitrescu (Eds.), Women in Early Medieval
    England, Springer Textbook, n.d.'
date_created: 2023-10-20T11:00:01Z
date_updated: 2023-10-20T11:00:14Z
department:
- _id: '6'
editor:
- first_name: Emily
  full_name: Butler, Emily
  last_name: Butler
- first_name: Irina
  full_name: Dumitrescu, Irina
  last_name: Dumitrescu
language:
- iso: eng
publication: Women in Early Medieval England
publication_status: submitted
publisher: Springer Textbook
series_title: The New Middle Ages
status: public
title: Eadburh of Wessex
type: encyclopedia_article
user_id: '67185'
year: '2024'
...
---
_id: '48364'
author:
- first_name: Anne
  full_name: Foerster, Anne
  id: '67185'
  last_name: Foerster
citation:
  ama: 'Foerster A. Seaxburh. In: Butler E, Dumitrescu I, eds. <i>Women in Early Medieval
    England</i>. The New Middle Ages. Springer Textbook.'
  apa: Foerster, A. (n.d.). Seaxburh. In E. Butler &#38; I. Dumitrescu (Eds.), <i>Women
    in Early Medieval England</i>. Springer Textbook.
  bibtex: '@inbook{Foerster, series={The New Middle Ages}, title={Seaxburh}, booktitle={Women
    in Early Medieval England}, publisher={Springer Textbook}, author={Foerster, Anne},
    editor={Butler, Emily and Dumitrescu, Irina}, collection={The New Middle Ages}
    }'
  chicago: Foerster, Anne. “Seaxburh.” In <i>Women in Early Medieval England</i>,
    edited by Emily Butler and Irina Dumitrescu. The New Middle Ages. Springer Textbook,
    n.d.
  ieee: A. Foerster, “Seaxburh,” in <i>Women in Early Medieval England</i>, E. Butler
    and I. Dumitrescu, Eds. Springer Textbook.
  mla: Foerster, Anne. “Seaxburh.” <i>Women in Early Medieval England</i>, edited
    by Emily Butler and Irina Dumitrescu, Springer Textbook.
  short: 'A. Foerster, in: E. Butler, I. Dumitrescu (Eds.), Women in Early Medieval
    England, Springer Textbook, n.d.'
date_created: 2023-10-20T11:03:16Z
date_updated: 2023-10-20T11:03:20Z
department:
- _id: '6'
editor:
- first_name: Emily
  full_name: Butler, Emily
  last_name: Butler
- first_name: Irina
  full_name: Dumitrescu, Irina
  last_name: Dumitrescu
language:
- iso: eng
publication: Women in Early Medieval England
publication_status: submitted
publisher: Springer Textbook
series_title: The New Middle Ages
status: public
title: Seaxburh
type: encyclopedia_article
user_id: '67185'
year: '2024'
...
---
_id: '48632'
abstract:
- lang: eng
  text: Digital Servitization is one of the significant trends affecting the manufacturing
    industry. Companies try to tackle challenges regarding their differentiation and
    profitability using digital services. One specific type of digital services are
    smart services, which are digital services built on data from smart products.
    Introducing these kinds of offerings into the portfolio of manufacturing companies
    is not trivial. Moreover, they require conscious action to align all relevant
    capabilities to realize the respective business goals. However, what capabilities
    are generally relevant for smart services remains opaque. We conducted a systematic
    literature review to identify them and extended the results through an interview
    study. Our analysis results in 78 capabilities clustered among 12 principles and
    six dimensions. These results provide significant support for the smart service
    transformation of manufacturing companies and for structuring the research field
    of smart services.
author:
- first_name: Christian
  full_name: Koldewey, Christian
  id: '43136'
  last_name: Koldewey
  orcid: https://orcid.org/0000-0001-7992-6399
- first_name: Timm
  full_name: Fichtler, Timm
  id: '66731'
  last_name: Fichtler
  orcid: https://orcid.org/0000-0001-6034-4399
- first_name: Michel
  full_name: Scholtysik, Michel
  id: '50562'
  last_name: Scholtysik
- first_name: Jan
  full_name: Biehler, Jan
  last_name: Biehler
- first_name: Nick
  full_name: Schreiner, Nick
  last_name: Schreiner
- first_name: Franziska
  full_name: Sommer, Franziska
  last_name: Sommer
- first_name: Maximilian
  full_name: Schacht, Maximilian
  last_name: Schacht
- first_name: Jonas
  full_name: Kaufmann, Jonas
  last_name: Kaufmann
- first_name: Martin
  full_name: Rabe, Martin
  last_name: Rabe
- first_name: Joachim
  full_name: Sedlmeier, Joachim
  last_name: Sedlmeier
- first_name: Roman
  full_name: Dumitrescu, Roman
  id: '16190'
  last_name: Dumitrescu
citation:
  ama: 'Koldewey C, Fichtler T, Scholtysik M, et al. Exploring Capabilities for the
    Smart Service Transformation in Manufacturing: Insights from Theory and Practice.
    In: ; 2024.'
  apa: 'Koldewey, C., Fichtler, T., Scholtysik, M., Biehler, J., Schreiner, N., Sommer,
    F., Schacht, M., Kaufmann, J., Rabe, M., Sedlmeier, J., &#38; Dumitrescu, R. (2024).
    <i>Exploring Capabilities for the Smart Service Transformation in Manufacturing:
    Insights from Theory and Practice</i>. Hawaii International Conference on System
    Sciences, Hawaii.'
  bibtex: '@inproceedings{Koldewey_Fichtler_Scholtysik_Biehler_Schreiner_Sommer_Schacht_Kaufmann_Rabe_Sedlmeier_et
    al._2024, title={Exploring Capabilities for the Smart Service Transformation in
    Manufacturing: Insights from Theory and Practice}, author={Koldewey, Christian
    and Fichtler, Timm and Scholtysik, Michel and Biehler, Jan and Schreiner, Nick
    and Sommer, Franziska and Schacht, Maximilian and Kaufmann, Jonas and Rabe, Martin
    and Sedlmeier, Joachim and et al.}, year={2024} }'
  chicago: 'Koldewey, Christian, Timm Fichtler, Michel Scholtysik, Jan Biehler, Nick
    Schreiner, Franziska Sommer, Maximilian Schacht, et al. “Exploring Capabilities
    for the Smart Service Transformation in Manufacturing: Insights from Theory and
    Practice,” 2024.'
  ieee: 'C. Koldewey <i>et al.</i>, “Exploring Capabilities for the Smart Service
    Transformation in Manufacturing: Insights from Theory and Practice,” presented
    at the Hawaii International Conference on System Sciences, Hawaii, 2024.'
  mla: 'Koldewey, Christian, et al. <i>Exploring Capabilities for the Smart Service
    Transformation in Manufacturing: Insights from Theory and Practice</i>. 2024.'
  short: 'C. Koldewey, T. Fichtler, M. Scholtysik, J. Biehler, N. Schreiner, F. Sommer,
    M. Schacht, J. Kaufmann, M. Rabe, J. Sedlmeier, R. Dumitrescu, in: 2024.'
conference:
  end_date: 2024-01-06
  location: Hawaii
  name: Hawaii International Conference on System Sciences
  start_date: 2024-01-03
date_created: 2023-11-06T15:31:32Z
date_updated: 2023-11-06T15:40:33Z
department:
- _id: '563'
- _id: '241'
keyword:
- Digital Servitization
- Transformation
- Capabilities
- Maturity
- Smart Services
language:
- iso: eng
status: public
title: 'Exploring Capabilities for the Smart Service Transformation in Manufacturing:
  Insights from Theory and Practice'
type: conference
user_id: '66731'
year: '2024'
...
---
_id: '49354'
author:
- first_name: Lameya
  full_name: Afroze, Lameya
  last_name: Afroze
- first_name: Silke
  full_name: Merkelbach, Silke
  last_name: Merkelbach
- first_name: Sebastian
  full_name: von Enzberg, Sebastian
  last_name: von Enzberg
- first_name: Roman
  full_name: Dumitrescu, Roman
  id: '16190'
  last_name: Dumitrescu
citation:
  ama: 'Afroze L, Merkelbach S, von Enzberg S, Dumitrescu R. Domain Knowledge Injection
    Guidance for Predictive Maintenance. In: <i>ML4CPS 2023</i>. ; 2024.'
  apa: Afroze, L., Merkelbach, S., von Enzberg, S., &#38; Dumitrescu, R. (2024). Domain
    Knowledge Injection Guidance for Predictive Maintenance. <i>ML4CPS 2023</i>. ML4CPS
    – Machine Learning For Cyber-Physical Systems, Hamburg.
  bibtex: '@inproceedings{Afroze_Merkelbach_von Enzberg_Dumitrescu_2024, title={Domain
    Knowledge Injection Guidance for Predictive Maintenance}, booktitle={ML4CPS 2023},
    author={Afroze, Lameya and Merkelbach, Silke and von Enzberg, Sebastian and Dumitrescu,
    Roman}, year={2024} }'
  chicago: Afroze, Lameya, Silke Merkelbach, Sebastian von Enzberg, and Roman Dumitrescu.
    “Domain Knowledge Injection Guidance for Predictive Maintenance.” In <i>ML4CPS
    2023</i>, 2024.
  ieee: L. Afroze, S. Merkelbach, S. von Enzberg, and R. Dumitrescu, “Domain Knowledge
    Injection Guidance for Predictive Maintenance,” presented at the ML4CPS – Machine
    Learning For Cyber-Physical Systems, Hamburg, 2024.
  mla: Afroze, Lameya, et al. “Domain Knowledge Injection Guidance for Predictive
    Maintenance.” <i>ML4CPS 2023</i>, 2024.
  short: 'L. Afroze, S. Merkelbach, S. von Enzberg, R. Dumitrescu, in: ML4CPS 2023,
    2024.'
conference:
  end_date: 2023-0331
  location: Hamburg
  name: ML4CPS – Machine Learning For Cyber-Physical Systems
  start_date: 2023-03-29
date_created: 2023-11-30T09:59:41Z
date_updated: 2023-11-30T14:09:47Z
department:
- _id: '563'
language:
- iso: eng
publication: ML4CPS 2023
status: public
title: Domain Knowledge Injection Guidance for Predictive Maintenance
type: conference
user_id: '15782'
year: '2024'
...
---
_id: '49364'
author:
- first_name: Michel
  full_name: Scholtysik, Michel
  id: '50562'
  last_name: Scholtysik
- first_name: Malte
  full_name: Rohde, Malte
  last_name: Rohde
- first_name: Christian
  full_name: Koldewey, Christian
  id: '43136'
  last_name: Koldewey
  orcid: https://orcid.org/0000-0001-7992-6399
- first_name: Roman
  full_name: Dumitrescu, Roman
  id: '16190'
  last_name: Dumitrescu
citation:
  ama: 'Scholtysik M, Rohde M, Koldewey C, Dumitrescu R. Business strategy taxonomy
    and solution patterns for the circular economy. In: ; 2024.'
  apa: Scholtysik, M., Rohde, M., Koldewey, C., &#38; Dumitrescu, R. (2024). <i>Business
    strategy taxonomy and solution patterns for the circular economy</i>.
  bibtex: '@inproceedings{Scholtysik_Rohde_Koldewey_Dumitrescu_2024, title={Business
    strategy taxonomy and solution patterns for the circular economy}, author={Scholtysik,
    Michel and Rohde, Malte and Koldewey, Christian and Dumitrescu, Roman}, year={2024}
    }'
  chicago: Scholtysik, Michel, Malte Rohde, Christian Koldewey, and Roman Dumitrescu.
    “Business Strategy Taxonomy and Solution Patterns for the Circular Economy,” 2024.
  ieee: M. Scholtysik, M. Rohde, C. Koldewey, and R. Dumitrescu, “Business strategy
    taxonomy and solution patterns for the circular economy,” 2024.
  mla: Scholtysik, Michel, et al. <i>Business Strategy Taxonomy and Solution Patterns
    for the Circular Economy</i>. 2024.
  short: 'M. Scholtysik, M. Rohde, C. Koldewey, R. Dumitrescu, in: 2024.'
date_created: 2023-11-30T10:57:30Z
date_updated: 2023-11-30T14:27:55Z
department:
- _id: '563'
language:
- iso: eng
status: public
title: Business strategy taxonomy and solution patterns for the circular economy
type: conference
user_id: '50562'
year: '2024'
...
---
_id: '49504'
author:
- first_name: Hendrik
  full_name: Schlieper, Hendrik
  last_name: Schlieper
citation:
  ama: Schlieper H. <i>Liebestragödie. Genealogien Einer Französischen Gattung Des
    17. Jahrhunderts</i>. Brill / Fink
  apa: Schlieper, H. (n.d.). <i>Liebestragödie. Genealogien einer französischen Gattung
    des 17. Jahrhunderts</i>. Brill / Fink .
  bibtex: '@book{Schlieper, place={Paderborn}, series={Poesis. Schriften zu Literatur
    und den Künsten der Frühmoderne / Habilitationsschrift, Universität Paderborn},
    title={Liebestragödie. Genealogien einer französischen Gattung des 17. Jahrhunderts},
    publisher={Brill / Fink }, author={Schlieper, Hendrik}, collection={Poesis. Schriften
    zu Literatur und den Künsten der Frühmoderne / Habilitationsschrift, Universität
    Paderborn} }'
  chicago: 'Schlieper, Hendrik. <i>Liebestragödie. Genealogien Einer Französischen
    Gattung Des 17. Jahrhunderts</i>. Poesis. Schriften Zu Literatur Und Den Künsten
    Der Frühmoderne / Habilitationsschrift, Universität Paderborn. Paderborn: Brill
    / Fink , n.d.'
  ieee: 'H. Schlieper, <i>Liebestragödie. Genealogien einer französischen Gattung
    des 17. Jahrhunderts</i>. Paderborn: Brill / Fink .'
  mla: Schlieper, Hendrik. <i>Liebestragödie. Genealogien Einer Französischen Gattung
    Des 17. Jahrhunderts</i>. Brill / Fink .
  short: H. Schlieper, Liebestragödie. Genealogien Einer Französischen Gattung Des
    17. Jahrhunderts, Brill / Fink , Paderborn, n.d.
date_created: 2023-12-06T09:35:44Z
date_updated: 2023-12-06T09:37:10Z
department:
- _id: '116'
language:
- iso: eng
place: Paderborn
publication_status: inpress
publisher: 'Brill / Fink '
series_title: Poesis. Schriften zu Literatur und den Künsten der Frühmoderne / Habilitationsschrift,
  Universität Paderborn
status: public
title: Liebestragödie. Genealogien einer französischen Gattung des 17. Jahrhunderts
type: book
user_id: '29963'
year: '2024'
...
---
_id: '49815'
author:
- first_name: Andrea
  full_name: Taschl-Erber, Andrea
  last_name: Taschl-Erber
citation:
  ama: 'Taschl-Erber A. Making “the Two” Into One Body: De- and Recategorization of
    (Un-)Circumcision,. In: Annette W, ed. <i>Reconsidering the Letter to the Ephesians
    in Context </i>. Wissenschaftliche Untersuchungen zum Neuen Testament. ; 2024.'
  apa: 'Taschl-Erber, A. (2024). Making “the Two” Into One Body: De- and Recategorization
    of (Un-)Circumcision,. In W. Annette (Ed.), <i>Reconsidering the Letter to the
    Ephesians in Context </i>.'
  bibtex: '@inbook{Taschl-Erber_2024, place={Tübingen}, series={Wissenschaftliche
    Untersuchungen zum Neuen Testament}, title={Making “the Two” Into One Body: De-
    and Recategorization of (Un-)Circumcision,}, booktitle={Reconsidering the Letter
    to the Ephesians in Context }, author={Taschl-Erber, Andrea}, editor={Annette,
    Weissenrieder}, year={2024}, collection={Wissenschaftliche Untersuchungen zum
    Neuen Testament} }'
  chicago: 'Taschl-Erber, Andrea. “Making ‘the Two’ Into One Body: De- and Recategorization
    of (Un-)Circumcision,.” In <i>Reconsidering the Letter to the Ephesians in Context
    </i>, edited by Weissenrieder Annette. Wissenschaftliche Untersuchungen Zum Neuen
    Testament. Tübingen, 2024.'
  ieee: 'A. Taschl-Erber, “Making ‘the Two’ Into One Body: De- and Recategorization
    of (Un-)Circumcision,” in <i>Reconsidering the Letter to the Ephesians in Context
    </i>, W. Annette, Ed. Tübingen, 2024.'
  mla: 'Taschl-Erber, Andrea. “Making ‘the Two’ Into One Body: De- and Recategorization
    of (Un-)Circumcision,.” <i>Reconsidering the Letter to the Ephesians in Context
    </i>, edited by Weissenrieder Annette, 2024.'
  short: 'A. Taschl-Erber, in: W. Annette (Ed.), Reconsidering the Letter to the Ephesians
    in Context , Tübingen, 2024.'
date_created: 2023-12-18T16:40:32Z
date_updated: 2023-12-18T16:44:31Z
editor:
- first_name: Weissenrieder
  full_name: Annette, Weissenrieder
  last_name: Annette
language:
- iso: eng
place: Tübingen
publication: 'Reconsidering the Letter to the Ephesians in Context '
series_title: Wissenschaftliche Untersuchungen zum Neuen Testament
status: public
title: 'Making “the Two” Into One Body: De- and Recategorization of (Un-)Circumcision,'
type: book_chapter
user_id: '70423'
year: '2024'
...
---
_id: '49816'
author:
- first_name: Andrea
  full_name: Taschl-Erber, Andrea
  last_name: Taschl-Erber
citation:
  ama: 'Taschl-Erber A. Martha and Her Sister(s) – Female Voices in the Fourth Gospel,.
    In: Franchi R, Barnes A, eds. <i>More than Female Disciples: An Examination of
    Women’s Authority in Ancient Christianity (Ist-VIth Centuries)</i>. ; 2024.'
  apa: 'Taschl-Erber, A. (2024). Martha and Her Sister(s) – Female Voices in the Fourth
    Gospel,. In R. Franchi &#38; A. Barnes (Eds.), <i>More than Female Disciples:
    An Examination of Women’s Authority in Ancient Christianity (Ist-VIth centuries)</i>.'
  bibtex: '@inbook{Taschl-Erber_2024, place={Brepols}, title={Martha and Her Sister(s)
    – Female Voices in the Fourth Gospel,}, booktitle={More than Female Disciples:
    An Examination of Women’s Authority in Ancient Christianity (Ist-VIth centuries)},
    author={Taschl-Erber, Andrea}, editor={Franchi, Roberta and Barnes, Aneilya },
    year={2024} }'
  chicago: 'Taschl-Erber, Andrea. “Martha and Her Sister(s) – Female Voices in the
    Fourth Gospel,.” In <i>More than Female Disciples: An Examination of Women’s Authority
    in Ancient Christianity (Ist-VIth Centuries)</i>, edited by Roberta Franchi and
    Aneilya  Barnes. Brepols, 2024.'
  ieee: 'A. Taschl-Erber, “Martha and Her Sister(s) – Female Voices in the Fourth
    Gospel,” in <i>More than Female Disciples: An Examination of Women’s Authority
    in Ancient Christianity (Ist-VIth centuries)</i>, R. Franchi and A. Barnes, Eds.
    Brepols, 2024.'
  mla: 'Taschl-Erber, Andrea. “Martha and Her Sister(s) – Female Voices in the Fourth
    Gospel,.” <i>More than Female Disciples: An Examination of Women’s Authority in
    Ancient Christianity (Ist-VIth Centuries)</i>, edited by Roberta Franchi and Aneilya  Barnes,
    2024.'
  short: 'A. Taschl-Erber, in: R. Franchi, A. Barnes (Eds.), More than Female Disciples:
    An Examination of Women’s Authority in Ancient Christianity (Ist-VIth Centuries),
    Brepols, 2024.'
date_created: 2023-12-18T16:44:00Z
date_updated: 2023-12-18T16:44:24Z
editor:
- first_name: Roberta
  full_name: Franchi, Roberta
  last_name: Franchi
- first_name: 'Aneilya '
  full_name: 'Barnes, Aneilya '
  last_name: Barnes
language:
- iso: eng
place: Brepols
publication: 'More than Female Disciples: An Examination of Women’s Authority in Ancient
  Christianity (Ist-VIth centuries)'
status: public
title: Martha and Her Sister(s) – Female Voices in the Fourth Gospel,
type: book_chapter
user_id: '70423'
year: '2024'
...
---
_id: '49814'
author:
- first_name: Andrea
  full_name: Taschl-Erber, Andrea
  last_name: Taschl-Erber
citation:
  ama: Taschl-Erber A.  Evangelium für Frauen? Das dritte und vierte Evangelium im
    Vergleich. <i>Theologie und Glaube</i>. 2024;114(1):30-59.
  apa: Taschl-Erber, A. (2024).  Evangelium für Frauen? Das dritte und vierte Evangelium
    im Vergleich. <i>Theologie Und Glaube</i>, <i>114</i>(1), 30–59.
  bibtex: '@article{Taschl-Erber_2024, title={ Evangelium für Frauen? Das dritte und
    vierte Evangelium im Vergleich}, volume={114}, number={1}, journal={Theologie
    und Glaube}, author={Taschl-Erber, Andrea}, year={2024}, pages={30–59} }'
  chicago: 'Taschl-Erber, Andrea. “ Evangelium Für Frauen? Das Dritte Und Vierte Evangelium
    Im Vergleich.” <i>Theologie Und Glaube</i> 114, no. 1 (2024): 30–59.'
  ieee: A. Taschl-Erber, “ Evangelium für Frauen? Das dritte und vierte Evangelium
    im Vergleich,” <i>Theologie und Glaube</i>, vol. 114, no. 1, pp. 30–59, 2024.
  mla: Taschl-Erber, Andrea. “ Evangelium Für Frauen? Das Dritte Und Vierte Evangelium
    Im Vergleich.” <i>Theologie Und Glaube</i>, vol. 114, no. 1, 2024, pp. 30–59.
  short: A. Taschl-Erber, Theologie Und Glaube 114 (2024) 30–59.
date_created: 2023-12-18T16:39:17Z
date_updated: 2023-12-18T16:44:36Z
intvolume: '       114'
issue: '1'
language:
- iso: eng
page: 30-59
publication: Theologie und Glaube
status: public
title: ' Evangelium für Frauen? Das dritte und vierte Evangelium im Vergleich'
type: journal_article
user_id: '70423'
volume: 114
year: '2024'
...
---
_id: '41850'
author:
- first_name: Marco
  full_name: Silvestri, Marco
  id: '47652'
  last_name: Silvestri
citation:
  ama: 'Silvestri M. Struktur und Sonderbauten der Silberbergbaustädte des 16. Jahrhunderts.
    Zur Korrelation von Städtebau und Montanwesen (Potosí und das Erzgebirge). In:
    <i>Bergbau und Hausbau</i>.'
  apa: Silvestri, M. (n.d.). Struktur und Sonderbauten der Silberbergbaustädte des
    16. Jahrhunderts. Zur Korrelation von Städtebau und Montanwesen (Potosí und das
    Erzgebirge). In <i>Bergbau und Hausbau</i>.
  bibtex: '@inbook{Silvestri, title={Struktur und Sonderbauten der Silberbergbaustädte
    des 16. Jahrhunderts. Zur Korrelation von Städtebau und Montanwesen (Potosí und
    das Erzgebirge)}, booktitle={Bergbau und Hausbau}, author={Silvestri, Marco} }'
  chicago: Silvestri, Marco. “Struktur und Sonderbauten der Silberbergbaustädte des
    16. Jahrhunderts. Zur Korrelation von Städtebau und Montanwesen (Potosí und das
    Erzgebirge).” In <i>Bergbau und Hausbau</i>, n.d.
  ieee: M. Silvestri, “Struktur und Sonderbauten der Silberbergbaustädte des 16. Jahrhunderts.
    Zur Korrelation von Städtebau und Montanwesen (Potosí und das Erzgebirge),” in
    <i>Bergbau und Hausbau</i>, .
  mla: Silvestri, Marco. “Struktur und Sonderbauten der Silberbergbaustädte des 16.
    Jahrhunderts. Zur Korrelation von Städtebau und Montanwesen (Potosí und das Erzgebirge).”
    <i>Bergbau und Hausbau</i>.
  short: 'M. Silvestri, in: Bergbau und Hausbau, n.d.'
date_created: 2023-02-06T13:30:35Z
date_updated: 2023-12-20T15:00:18Z
department:
- _id: '443'
language:
- iso: ger
publication: Bergbau und Hausbau
publication_status: accepted
status: public
title: Struktur und Sonderbauten der Silberbergbaustädte des 16. Jahrhunderts. Zur
  Korrelation von Städtebau und Montanwesen (Potosí und das Erzgebirge)
type: book_chapter
user_id: '47652'
year: '2024'
...
