---
_id: '50829'
article_number: L012017
author:
- first_name: Nils
  full_name: Heinisch, Nils
  id: '90283'
  last_name: Heinisch
- first_name: Nikolas
  full_name: Köcher, Nikolas
  id: '79191'
  last_name: Köcher
- first_name: David
  full_name: Bauch, David
  id: '44172'
  last_name: Bauch
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
citation:
  ama: 'Heinisch N, Köcher N, Bauch D, Schumacher S. Swing-up dynamics in quantum
    emitter cavity systems: Near ideal single photons and entangled photon pairs.
    <i>Physical Review Research</i>. 2024;6(1). doi:<a href="https://doi.org/10.1103/PhysRevResearch.6.L012017">10.1103/PhysRevResearch.6.L012017</a>'
  apa: 'Heinisch, N., Köcher, N., Bauch, D., &#38; Schumacher, S. (2024). Swing-up
    dynamics in quantum emitter cavity systems: Near ideal single photons and entangled
    photon pairs. <i>Physical Review Research</i>, <i>6</i>(1), Article L012017. <a
    href="https://doi.org/10.1103/PhysRevResearch.6.L012017">https://doi.org/10.1103/PhysRevResearch.6.L012017</a>'
  bibtex: '@article{Heinisch_Köcher_Bauch_Schumacher_2024, title={Swing-up dynamics
    in quantum emitter cavity systems: Near ideal single photons and entangled photon
    pairs}, volume={6}, DOI={<a href="https://doi.org/10.1103/PhysRevResearch.6.L012017">10.1103/PhysRevResearch.6.L012017</a>},
    number={1L012017}, journal={Physical Review Research}, publisher={American Physical
    Society (APS)}, author={Heinisch, Nils and Köcher, Nikolas and Bauch, David and
    Schumacher, Stefan}, year={2024} }'
  chicago: 'Heinisch, Nils, Nikolas Köcher, David Bauch, and Stefan Schumacher. “Swing-up
    Dynamics in Quantum Emitter Cavity Systems: Near Ideal Single Photons and Entangled
    Photon Pairs.” <i>Physical Review Research</i> 6, no. 1 (2024). <a href="https://doi.org/10.1103/PhysRevResearch.6.L012017">https://doi.org/10.1103/PhysRevResearch.6.L012017</a>.'
  ieee: 'N. Heinisch, N. Köcher, D. Bauch, and S. Schumacher, “Swing-up dynamics in
    quantum emitter cavity systems: Near ideal single photons and entangled photon
    pairs,” <i>Physical Review Research</i>, vol. 6, no. 1, Art. no. L012017, 2024,
    doi: <a href="https://doi.org/10.1103/PhysRevResearch.6.L012017">10.1103/PhysRevResearch.6.L012017</a>.'
  mla: 'Heinisch, Nils, et al. “Swing-up Dynamics in Quantum Emitter Cavity Systems:
    Near Ideal Single Photons and Entangled Photon Pairs.” <i>Physical Review Research</i>,
    vol. 6, no. 1, L012017, American Physical Society (APS), 2024, doi:<a href="https://doi.org/10.1103/PhysRevResearch.6.L012017">10.1103/PhysRevResearch.6.L012017</a>.'
  short: N. Heinisch, N. Köcher, D. Bauch, S. Schumacher, Physical Review Research
    6 (2024).
date_created: 2024-01-24T15:17:37Z
date_updated: 2024-01-24T16:07:57Z
department:
- _id: '230'
- _id: '623'
- _id: '15'
- _id: '170'
- _id: '297'
doi: 10.1103/PhysRevResearch.6.L012017
intvolume: '         6'
issue: '1'
language:
- iso: eng
project:
- _id: '173'
  grant_number: '231447078'
  name: 'TRR 142 - C09: TRR 142 - Ideale Erzeugung von Photonenpaaren für Verschränkungsaustausch
    bei Telekom Wellenlängen (C09*)'
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society (APS)
status: public
title: 'Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons
  and entangled photon pairs'
type: journal_article
user_id: '90283'
volume: 6
year: '2024'
...
---
_id: '49772'
author:
- first_name: Yves
  full_name: Huybrechts, Yves
  id: '78579'
  last_name: Huybrechts
  orcid: 0009-0009-2166-9794
- first_name: Resul
  full_name: Karaca, Resul
  last_name: Karaca
citation:
  ama: Huybrechts Y, Karaca R. BelgienNet – une plateforme pour l’accès aux langues
    et cultures de la Belgique. <i>Synergies Pays germanophones</i>. 2024;16:119-131.
  apa: Huybrechts, Y., &#38; Karaca, R. (2024). BelgienNet – une plateforme pour l’accès
    aux langues et cultures de la Belgique. <i>Synergies Pays germanophones</i>, <i>16</i>,
    119–131.
  bibtex: '@article{Huybrechts_Karaca_2024, title={BelgienNet – une plateforme pour
    l’accès aux langues et cultures de la Belgique}, volume={16}, journal={Synergies
    Pays germanophones}, publisher={GERFLINT}, author={Huybrechts, Yves and Karaca,
    Resul}, year={2024}, pages={119–131} }'
  chicago: 'Huybrechts, Yves, and Resul Karaca. “BelgienNet – une plateforme pour
    l’accès aux langues et cultures de la Belgique.” <i>Synergies Pays germanophones</i>
    16 (2024): 119–31.'
  ieee: Y. Huybrechts and R. Karaca, “BelgienNet – une plateforme pour l’accès aux
    langues et cultures de la Belgique,” <i>Synergies Pays germanophones</i>, vol.
    16, pp. 119–131, 2024.
  mla: Huybrechts, Yves, and Resul Karaca. “BelgienNet – une plateforme pour l’accès
    aux langues et cultures de la Belgique.” <i>Synergies Pays germanophones</i>,
    vol. 16, GERFLINT, 2024, pp. 119–31.
  short: Y. Huybrechts, R. Karaca, Synergies Pays germanophones 16 (2024) 119–131.
date_created: 2023-12-18T10:07:39Z
date_updated: 2024-01-26T19:38:47Z
department:
- _id: '448'
intvolume: '        16'
language:
- iso: fre
main_file_link:
- open_access: '1'
  url: https://gerflint.fr/images/revues/Paysgermanophones/SPG_16/karaca_huybrecht.pdf
oa: '1'
page: 119-131
publication: Synergies Pays germanophones
publication_identifier:
  issn:
  - 1866-5268
publication_status: published
publisher: GERFLINT
status: public
title: BelgienNet – une plateforme pour l’accès aux langues et cultures de la Belgique
type: journal_article
user_id: '78579'
volume: 16
year: '2024'
...
---
_id: '50981'
author:
- first_name: Norbert Otto
  full_name: Eke, Norbert Otto
  id: '104'
  last_name: Eke
citation:
  ama: 'Eke NO. „Es nimmt der Raum gastfreundlich auf die Menge“. Theodor Hells Prolog
    zur Eröffnung des Dresdner Hoftheaters (1841). In: Özelt C, Schneider M, eds.
    <i>Die Kunst Der Theatereröffnung. Ästhetik Und Sozialgeschichte von Bühnenprologen</i>.
    Vol Band: 3. Drama zwischen Text und Bühne. Brill/Fink; 2024:199-222.'
  apa: 'Eke, N. O. (2024). „Es nimmt der Raum gastfreundlich auf die Menge“. Theodor
    Hells Prolog zur Eröffnung des Dresdner Hoftheaters (1841). In C. Özelt &#38;
    M. Schneider (Eds.), <i>Die Kunst der Theatereröffnung. Ästhetik und Sozialgeschichte
    von Bühnenprologen: Vol. Band: 3</i> (pp. 199–222). Brill/Fink.'
  bibtex: '@inbook{Eke_2024, place={Paderborn }, series={Drama zwischen Text und Bühne},
    title={„Es nimmt der Raum gastfreundlich auf die Menge“. Theodor Hells Prolog
    zur Eröffnung des Dresdner Hoftheaters (1841)}, volume={Band: 3}, booktitle={Die
    Kunst der Theatereröffnung. Ästhetik und Sozialgeschichte von Bühnenprologen},
    publisher={Brill/Fink}, author={Eke, Norbert Otto}, editor={Özelt, Clemens and
    Schneider, Martin}, year={2024}, pages={199–222}, collection={Drama zwischen Text
    und Bühne} }'
  chicago: 'Eke, Norbert Otto. “„Es Nimmt Der Raum Gastfreundlich Auf Die Menge“.
    Theodor Hells Prolog Zur Eröffnung Des Dresdner Hoftheaters (1841).” In <i>Die
    Kunst Der Theatereröffnung. Ästhetik Und Sozialgeschichte von Bühnenprologen</i>,
    edited by Clemens Özelt and Martin Schneider, Band: 3:199–222. Drama Zwischen
    Text Und Bühne. Paderborn : Brill/Fink, 2024.'
  ieee: 'N. O. Eke, “„Es nimmt der Raum gastfreundlich auf die Menge“. Theodor Hells
    Prolog zur Eröffnung des Dresdner Hoftheaters (1841),” in <i>Die Kunst der Theatereröffnung.
    Ästhetik und Sozialgeschichte von Bühnenprologen</i>, vol. Band: 3, C. Özelt and
    M. Schneider, Eds. Paderborn : Brill/Fink, 2024, pp. 199–222.'
  mla: 'Eke, Norbert Otto. “„Es Nimmt Der Raum Gastfreundlich Auf Die Menge“. Theodor
    Hells Prolog Zur Eröffnung Des Dresdner Hoftheaters (1841).” <i>Die Kunst Der
    Theatereröffnung. Ästhetik Und Sozialgeschichte von Bühnenprologen</i>, edited
    by Clemens Özelt and Martin Schneider, vol. Band: 3, Brill/Fink, 2024, pp. 199–222.'
  short: 'N.O. Eke, in: C. Özelt, M. Schneider (Eds.), Die Kunst Der Theatereröffnung.
    Ästhetik Und Sozialgeschichte von Bühnenprologen, Brill/Fink, Paderborn , 2024,
    pp. 199–222.'
date_created: 2024-01-29T13:56:56Z
date_updated: 2024-02-05T12:37:41Z
editor:
- first_name: Clemens
  full_name: Özelt, Clemens
  last_name: Özelt
- first_name: Martin
  full_name: Schneider, Martin
  last_name: Schneider
language:
- iso: eng
page: 199-222
place: 'Paderborn '
publication: Die Kunst der Theatereröffnung. Ästhetik und Sozialgeschichte von Bühnenprologen
publication_identifier:
  isbn:
  - '978-3-7705-6762-1 '
publisher: Brill/Fink
series_title: Drama zwischen Text und Bühne
status: public
title: „Es nimmt der Raum gastfreundlich auf die Menge“. Theodor Hells Prolog zur
  Eröffnung des Dresdner Hoftheaters (1841)
type: book_chapter
user_id: '104'
volume: 'Band: 3'
year: '2024'
...
---
_id: '46019'
abstract:
- lang: eng
  text: We derive efficient algorithms to compute weakly Pareto optimal solutions
    for smooth, convex and unconstrained multiobjective optimization problems in general
    Hilbert spaces. To this end, we define a novel inertial gradient-like dynamical
    system in the multiobjective setting, which trajectories converge weakly to Pareto
    optimal solutions. Discretization of this system yields an inertial multiobjective
    algorithm which generates sequences that converge weakly to Pareto optimal solutions.
    We employ Nesterov acceleration to define an algorithm with an improved convergence
    rate compared to the plain multiobjective steepest descent method (Algorithm 1).
    A further improvement in terms of efficiency is achieved by avoiding the solution
    of a quadratic subproblem to compute a common step direction for all objective
    functions, which is usually required in first-order methods. Using a different
    discretization of our inertial gradient-like dynamical system, we obtain an accelerated
    multiobjective gradient method that does not require the solution of a subproblem
    in each step (Algorithm 2). While this algorithm does not converge in general,
    it yields good results on test problems while being faster than standard steepest
    descent.
author:
- first_name: Konstantin
  full_name: Sonntag, Konstantin
  id: '56399'
  last_name: Sonntag
  orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Sebastian
  full_name: Peitz, Sebastian
  id: '47427'
  last_name: Peitz
  orcid: 0000-0002-3389-793X
citation:
  ama: Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration
    via Inertial Gradient-Like Systems. <i>Journal of Optimization Theory and Applications</i>.
    Published online 2024. doi:<a href="https://doi.org/10.1007/s10957-024-02389-3">10.1007/s10957-024-02389-3</a>
  apa: Sonntag, K., &#38; Peitz, S. (2024). Fast Multiobjective Gradient Methods with
    Nesterov Acceleration via Inertial Gradient-Like Systems. <i>Journal of Optimization
    Theory and Applications</i>. <a href="https://doi.org/10.1007/s10957-024-02389-3">https://doi.org/10.1007/s10957-024-02389-3</a>
  bibtex: '@article{Sonntag_Peitz_2024, title={Fast Multiobjective Gradient Methods
    with Nesterov Acceleration via Inertial Gradient-Like Systems}, DOI={<a href="https://doi.org/10.1007/s10957-024-02389-3">10.1007/s10957-024-02389-3</a>},
    journal={Journal of Optimization Theory and Applications}, publisher={Springer},
    author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024} }'
  chicago: Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient
    Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” <i>Journal
    of Optimization Theory and Applications</i>, 2024. <a href="https://doi.org/10.1007/s10957-024-02389-3">https://doi.org/10.1007/s10957-024-02389-3</a>.
  ieee: 'K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov
    Acceleration via Inertial Gradient-Like Systems,” <i>Journal of Optimization Theory
    and Applications</i>, 2024, doi: <a href="https://doi.org/10.1007/s10957-024-02389-3">10.1007/s10957-024-02389-3</a>.'
  mla: Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods
    with Nesterov Acceleration via Inertial Gradient-Like Systems.” <i>Journal of
    Optimization Theory and Applications</i>, Springer, 2024, doi:<a href="https://doi.org/10.1007/s10957-024-02389-3">10.1007/s10957-024-02389-3</a>.
  short: K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).
date_created: 2023-07-12T06:35:58Z
date_updated: 2024-02-21T10:13:33Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/s10957-024-02389-3
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://link.springer.com/content/pdf/10.1007/s10957-024-02389-3.pdf
oa: '1'
publication: Journal of Optimization Theory and Applications
publication_status: published
publisher: Springer
status: public
title: Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial
  Gradient-Like Systems
type: journal_article
user_id: '56399'
year: '2024'
...
---
_id: '51334'
abstract:
- lang: eng
  text: The efficient optimization method for locally Lipschitz continuous multiobjective
    optimization problems from [1] is extended from finite-dimensional problems to
    general Hilbert spaces. The method iteratively computes Pareto critical points,
    where in each iteration, an approximation of the subdifferential is computed in
    an efficient manner and then used to compute a common descent direction for all
    objective functions. To prove convergence, we present some new optimality results
    for nonsmooth multiobjective optimization problems in Hilbert spaces. Using these,
    we can show that every accumulation point of the sequence generated by our algorithm
    is Pareto critical under common assumptions. Computational efficiency for finding
    Pareto critical points is numerically demonstrated for multiobjective optimal
    control of an obstacle problem.
author:
- first_name: Konstantin
  full_name: Sonntag, Konstantin
  id: '56399'
  last_name: Sonntag
  orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Bennet
  full_name: Gebken, Bennet
  id: '32643'
  last_name: Gebken
- first_name: Georg
  full_name: Müller, Georg
  last_name: Müller
- first_name: Sebastian
  full_name: Peitz, Sebastian
  id: '47427'
  last_name: Peitz
  orcid: 0000-0002-3389-793X
- first_name: Stefan
  full_name: Volkwein, Stefan
  last_name: Volkwein
citation:
  ama: Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth
    Multiobjective Optimization in Hilbert Spaces. <i>arXiv:240206376</i>. Published
    online 2024.
  apa: Sonntag, K., Gebken, B., Müller, G., Peitz, S., &#38; Volkwein, S. (2024).
    A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.
    In <i>arXiv:2402.06376</i>.
  bibtex: '@article{Sonntag_Gebken_Müller_Peitz_Volkwein_2024, title={A Descent Method
    for Nonsmooth Multiobjective Optimization in Hilbert Spaces}, journal={arXiv:2402.06376},
    author={Sonntag, Konstantin and Gebken, Bennet and Müller, Georg and Peitz, Sebastian
    and Volkwein, Stefan}, year={2024} }'
  chicago: Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and
    Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in
    Hilbert Spaces.” <i>ArXiv:2402.06376</i>, 2024.
  ieee: K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method
    for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” <i>arXiv:2402.06376</i>.
    2024.
  mla: Sonntag, Konstantin, et al. “A Descent Method for Nonsmooth Multiobjective
    Optimization in Hilbert Spaces.” <i>ArXiv:2402.06376</i>, 2024.
  short: K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376
    (2024).
date_created: 2024-02-13T09:35:26Z
date_updated: 2024-02-21T10:21:03Z
department:
- _id: '101'
- _id: '655'
external_id:
  arxiv:
  - "\t2402.06376"
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2402.06376
oa: '1'
publication: arXiv:2402.06376
status: public
title: A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces
type: preprint
user_id: '56399'
year: '2024'
...
---
_id: '52529'
author:
- first_name: Kerstin
  full_name: Kraft, Kerstin
  id: '22433'
  last_name: Kraft
citation:
  ama: Kraft K. <i>“A Short Introduction to the Film Glove and Touch Studies.”</i>
    Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.”
    Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/,
    https://doi.org/10.38055/FS050108.; 2024.
  apa: Kraft, K. (2024). <i>“A Short Introduction to the Film Glove and Touch Studies.”</i>
    Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.”
    Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/,
    https://doi.org/10.38055/FS050108.
  bibtex: '@book{Kraft_2024, title={“A Short Introduction to the Film Glove and Touch
    Studies.”}, publisher={Kraft, Kerstin, et al. “A Short Introduction to the Film
    Glove and Touch Studies.” Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/,
    https://doi.org/10.38055/FS050108.}, author={Kraft, Kerstin}, year={2024} }'
  chicago: Kraft, Kerstin. <i>“A Short Introduction to the Film Glove and Touch Studies.”</i>
    Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.”
    Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/,
    https://doi.org/10.38055/FS050108., 2024.
  ieee: K. Kraft, <i>“A Short Introduction to the Film Glove and Touch Studies.”</i>
    Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.”
    Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/,
    https://doi.org/10.38055/FS050108., 2024.
  mla: Kraft, Kerstin. <i>“A Short Introduction to the Film Glove and Touch Studies.”</i>
    Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.”
    Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/,
    https://doi.org/10.38055/FS050108., 2024.
  short: K. Kraft, “A Short Introduction to the Film Glove and Touch Studies.,” Kraft,
    Kerstin, et al. “A Short Introduction to the Film Glove and Touch Studies.” Fashion
    Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/,
    https://doi.org/10.38055/FS050108., 2024.
date_created: 2024-03-13T08:53:20Z
date_updated: 2024-03-13T08:58:38Z
department:
- _id: '18'
- _id: '434'
language:
- iso: eng
publisher: Kraft, Kerstin, et al. “A Short Introduction to the Film Glove and Touch
  Studies.” Fashion Studies, vol. 5, no. 1, 2024, pp. 1-11, https://www.fashionstudies.ca/introduction-to-glove-and-touch-studies/,
  https://doi.org/10.38055/FS050108.
status: public
title: “A Short Introduction to the Film Glove and Touch Studies.”
type: misc
user_id: '79820'
year: '2024'
...
---
_id: '52538'
abstract:
- lang: eng
  text: 'Twitter ist jetzt X und befindet sich auf dem absteigenden Ast. Auf diesem
    Ast sitzt Facebook bereits seit längerem. Der Kurzvideodienst Vine, Vorgänger
    von TikTok, ist Geschichte. Und auch bei Google klingeln die Alarmglocken angesichts
    der „neuen“ Konkurrenz durch Microsoft und ChatGPT. Umso dringlicher wird also
    die Historisierung der „sozialen Medien“, das heißt, sie in ihren historischen
    Kontext einzuordnen und ihren Mythos zu entzaubern. Dabei wartet das Vorhaben
    mit einer doppelten Herausforderung auf: Erstens, dass es sich bei den Unternehmen
    der Branche und zweitens auch bei den dort gebildeten Gemeinschaften um recht
    flüchtige, wandelhaften Gestalten handelt. Scheitern und Wandel ist Teil der „sozialen
    Medien“ – und sei es nur in der schnellen Abfolge der Moden des „nächsten großen
    Dings“. Dementsprechend versucht dieser Beitrag mit einem systematischeren Ansatz
    als dem der gesellschaftlichen Selbstbeschreibung, die Entwicklung des sozio-digitalen
    Phänomens „soziale Medien“ in dessen Zeitkontext einzuordnen.'
author:
- first_name: Martin
  full_name: Schmitt, Martin
  id: '100968'
  last_name: Schmitt
citation:
  ama: 'Schmitt M. Alles geht? Die jüngste Geschichte der „sozialen Medien“. Zwischen
    Wirtschaft und Gemeinschaft. In: Bundeszentrale für politische Bildung, ed. <i>Soziale
    Medien – Wie Sie Wurden, Was Sie Sind</i>. Bundeszentrale für politische Bildung;
    2024.'
  apa: Schmitt, M. (2024). Alles geht? Die jüngste Geschichte der „sozialen Medien“.
    Zwischen Wirtschaft und Gemeinschaft. In Bundeszentrale für politische Bildung
    (Ed.), <i>Soziale Medien – wie sie wurden, was sie sind</i>. Bundeszentrale für
    politische Bildung.
  bibtex: '@inbook{Schmitt_2024, place={Bonn}, title={Alles geht? Die jüngste Geschichte
    der „sozialen Medien“. Zwischen Wirtschaft und Gemeinschaft}, booktitle={Soziale
    Medien – wie sie wurden, was sie sind}, publisher={Bundeszentrale für politische
    Bildung}, author={Schmitt, Martin}, editor={Bundeszentrale für politische Bildung},
    year={2024} }'
  chicago: 'Schmitt, Martin. “Alles Geht? Die Jüngste Geschichte Der „sozialen Medien“.
    Zwischen Wirtschaft Und Gemeinschaft.” In <i>Soziale Medien – Wie Sie Wurden,
    Was Sie Sind</i>, edited by Bundeszentrale für politische Bildung. Bonn: Bundeszentrale
    für politische Bildung, 2024.'
  ieee: 'M. Schmitt, “Alles geht? Die jüngste Geschichte der „sozialen Medien“. Zwischen
    Wirtschaft und Gemeinschaft,” in <i>Soziale Medien – wie sie wurden, was sie sind</i>,
    Bundeszentrale für politische Bildung, Ed. Bonn: Bundeszentrale für politische
    Bildung, 2024.'
  mla: Schmitt, Martin. “Alles Geht? Die Jüngste Geschichte Der „sozialen Medien“.
    Zwischen Wirtschaft Und Gemeinschaft.” <i>Soziale Medien – Wie Sie Wurden, Was
    Sie Sind</i>, edited by Bundeszentrale für politische Bildung, Bundeszentrale
    für politische Bildung, 2024.
  short: 'M. Schmitt, in: Bundeszentrale für politische Bildung (Ed.), Soziale Medien
    – Wie Sie Wurden, Was Sie Sind, Bundeszentrale für politische Bildung, Bonn, 2024.'
corporate_editor:
- Bundeszentrale für politische Bildung
date_created: 2024-03-13T15:08:27Z
date_updated: 2024-03-13T15:21:23Z
department:
- _id: '514'
jel:
- N80
keyword:
- Digitalgeschichte
- Soziale Medien
- Technikgeschichte
- Wirtschaftsgeschichte
- Digitalisierung
- Twitter
- Facebook
- Meta
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.bpb.de/themen/medien-journalismus/soziale-medien/545767/alles-geht-die-juengste-geschichte-der-sozialen-medien/
oa: '1'
place: Bonn
publication: Soziale Medien – wie sie wurden, was sie sind
publisher: Bundeszentrale für politische Bildung
quality_controlled: '1'
status: public
title: Alles geht? Die jüngste Geschichte der „sozialen Medien“. Zwischen Wirtschaft
  und Gemeinschaft
type: book_chapter
user_id: '100968'
year: '2024'
...
---
_id: '52501'
author:
- first_name: Richard
  full_name: ' Hassel, Richard'
  last_name: ' Hassel'
citation:
  ama: Hassel R. <i>Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern</i>.;
    2024. doi:<a href="https://doi.org/10.17619/UNIPB/1-1870">10.17619/UNIPB/1-1870</a>
  apa: Hassel, R. (2024). <i>Zur Abscheidung von Tröpfchen-Aerosolen in filternden
    Abscheidern</i>. <a href="https://doi.org/10.17619/UNIPB/1-1870">https://doi.org/10.17619/UNIPB/1-1870</a>
  bibtex: '@book{ Hassel_2024, place={Paderborn}, title={Zur Abscheidung von Tröpfchen-Aerosolen
    in filternden Abscheidern}, DOI={<a href="https://doi.org/10.17619/UNIPB/1-1870">10.17619/UNIPB/1-1870</a>},
    author={ Hassel, Richard}, year={2024} }'
  chicago: Hassel, Richard. <i>Zur Abscheidung von Tröpfchen-Aerosolen in filternden
    Abscheidern</i>. Paderborn, 2024. <a href="https://doi.org/10.17619/UNIPB/1-1870">https://doi.org/10.17619/UNIPB/1-1870</a>.
  ieee: R.  Hassel, <i>Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern</i>.
    Paderborn, 2024.
  mla: Hassel, Richard. <i>Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern</i>.
    2024, doi:<a href="https://doi.org/10.17619/UNIPB/1-1870">10.17619/UNIPB/1-1870</a>.
  short: R.  Hassel, Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern,
    Paderborn, 2024.
date_created: 2024-03-12T08:11:12Z
date_updated: 2024-03-19T06:58:58Z
department:
- _id: '150'
doi: 10.17619/UNIPB/1-1870
extern: '1'
language:
- iso: ger
page: '161'
place: Paderborn
publication_status: published
status: public
supervisor:
- first_name: Hans-Joachim
  full_name: Schmid, Hans-Joachim
  id: '464'
  last_name: Schmid
  orcid: 000-0001-8590-1921
title: Zur Abscheidung von Tröpfchen-Aerosolen in filternden Abscheidern
type: dissertation
user_id: '98856'
year: '2024'
...
---
_id: '52379'
author:
- first_name: Sven
  full_name: Hüsing, Sven
  id: '58465'
  last_name: Hüsing
- first_name: Carsten
  full_name: Schulte, Carsten
  id: '60311'
  last_name: Schulte
- first_name: Sören
  full_name: Sparmann, Sören
  id: '63216'
  last_name: Sparmann
- first_name: Mario
  full_name: Bolte, Mario
  last_name: Bolte
citation:
  ama: 'Hüsing S, Schulte C, Sparmann S, Bolte M. Using Worked Examples for Engaging
    in Epistemic Programming Projects. In: <i>Proceedings of the 55th ACM Technical
    Symposium on Computer Science Education V. 1</i>. ACM; 2024. doi:<a href="https://doi.org/10.1145/3626252.3630961">10.1145/3626252.3630961</a>'
  apa: Hüsing, S., Schulte, C., Sparmann, S., &#38; Bolte, M. (2024). Using Worked
    Examples for Engaging in Epistemic Programming Projects. <i>Proceedings of the
    55th ACM Technical Symposium on Computer Science Education V. 1</i>. <a href="https://doi.org/10.1145/3626252.3630961">https://doi.org/10.1145/3626252.3630961</a>
  bibtex: '@inproceedings{Hüsing_Schulte_Sparmann_Bolte_2024, title={Using Worked
    Examples for Engaging in Epistemic Programming Projects}, DOI={<a href="https://doi.org/10.1145/3626252.3630961">10.1145/3626252.3630961</a>},
    booktitle={Proceedings of the 55th ACM Technical Symposium on Computer Science
    Education V. 1}, publisher={ACM}, author={Hüsing, Sven and Schulte, Carsten and
    Sparmann, Sören and Bolte, Mario}, year={2024} }'
  chicago: Hüsing, Sven, Carsten Schulte, Sören Sparmann, and Mario Bolte. “Using
    Worked Examples for Engaging in Epistemic Programming Projects.” In <i>Proceedings
    of the 55th ACM Technical Symposium on Computer Science Education V. 1</i>. ACM,
    2024. <a href="https://doi.org/10.1145/3626252.3630961">https://doi.org/10.1145/3626252.3630961</a>.
  ieee: 'S. Hüsing, C. Schulte, S. Sparmann, and M. Bolte, “Using Worked Examples
    for Engaging in Epistemic Programming Projects,” 2024, doi: <a href="https://doi.org/10.1145/3626252.3630961">10.1145/3626252.3630961</a>.'
  mla: Hüsing, Sven, et al. “Using Worked Examples for Engaging in Epistemic Programming
    Projects.” <i>Proceedings of the 55th ACM Technical Symposium on Computer Science
    Education V. 1</i>, ACM, 2024, doi:<a href="https://doi.org/10.1145/3626252.3630961">10.1145/3626252.3630961</a>.
  short: 'S. Hüsing, C. Schulte, S. Sparmann, M. Bolte, in: Proceedings of the 55th
    ACM Technical Symposium on Computer Science Education V. 1, ACM, 2024.'
date_created: 2024-03-08T08:01:50Z
date_updated: 2024-03-21T23:19:04Z
department:
- _id: '67'
doi: 10.1145/3626252.3630961
language:
- iso: eng
publication: Proceedings of the 55th ACM Technical Symposium on Computer Science Education
  V. 1
publication_status: published
publisher: ACM
status: public
title: Using Worked Examples for Engaging in Epistemic Programming Projects
type: conference
user_id: '58465'
year: '2024'
...
---
_id: '49905'
abstract:
- lang: eng
  text: "For 0 ≤ t ≤ r let m(t, r) be the maximum number s such that every t-edge-connected
    r-graph has s pairwise disjoint perfect matchings. There are only a few values
    of m(t, r) known, for instance m(3, 3) = m(4, r) = 1, and m(t, r) ≤ r − 2 for
    all t \x03 = 5,\r\nand m(t, r) ≤ r − 3 if r is even. We prove that m(2l, r) ≤
    3l − 6 for every l ≥ 3 and r ≥ 2l."
author:
- first_name: Yulai
  full_name: Ma, Yulai
  id: '92748'
  last_name: Ma
- first_name: Davide
  full_name: Mattiolo, Davide
  last_name: Mattiolo
- first_name: Eckhard
  full_name: Steffen, Eckhard
  id: '15548'
  last_name: Steffen
  orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
  full_name: Wolf, Isaak Hieronymus
  id: '88145'
  last_name: Wolf
citation:
  ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Edge-Connectivity and Pairwise Disjoint
    Perfect Matchings in Regular Graphs. <i>Combinatorica</i>. 2024;44:429-440. doi:<a
    href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>
  apa: Ma, Y., Mattiolo, D., Steffen, E., &#38; Wolf, I. H. (2024). Edge-Connectivity
    and Pairwise Disjoint Perfect Matchings in Regular Graphs. <i>Combinatorica</i>,
    <i>44</i>, 429–440. <a href="https://doi.org/10.1007/s00493-023-00078-9">https://doi.org/10.1007/s00493-023-00078-9</a>
  bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2024, title={Edge-Connectivity and Pairwise
    Disjoint Perfect Matchings in Regular Graphs}, volume={44}, DOI={<a href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>},
    journal={Combinatorica}, publisher={Springer Science and Business Media LLC},
    author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus},
    year={2024}, pages={429–440} }'
  chicago: 'Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf.
    “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.”
    <i>Combinatorica</i> 44 (2024): 429–40. <a href="https://doi.org/10.1007/s00493-023-00078-9">https://doi.org/10.1007/s00493-023-00078-9</a>.'
  ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Edge-Connectivity and Pairwise
    Disjoint Perfect Matchings in Regular Graphs,” <i>Combinatorica</i>, vol. 44,
    pp. 429–440, 2024, doi: <a href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>.'
  mla: Ma, Yulai, et al. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings
    in Regular Graphs.” <i>Combinatorica</i>, vol. 44, Springer Science and Business
    Media LLC, 2024, pp. 429–40, doi:<a href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>.
  short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 44 (2024) 429–440.
date_created: 2023-12-20T10:31:27Z
date_updated: 2024-03-22T12:11:35Z
department:
- _id: '542'
doi: 10.1007/s00493-023-00078-9
intvolume: '        44'
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 429-440
publication: Combinatorica
publication_identifier:
  issn:
  - 0209-9683
  - 1439-6912
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs
type: journal_article
user_id: '15540'
volume: 44
year: '2024'
...
---
_id: '52841'
abstract:
- lang: eng
  text: What is preventing us from building a NLP system that could help real people
    in real situations, for instance when they need legal advice but don{’}t understand
    law? This question is trickier than one might think, because legal systems vary
    from country to country, so do the law books, availability of data, and incomprehensibility
    of legalese. In this paper we focus Germany (which employs the civil-law system
    where, roughly speaking, interpretation of law codes dominates over precedence)
    and lay a foundational work to address the laymen{’}s legal question answering
    empirically. We create GerLayQA, a new dataset comprising of 21k laymen{’}s legal
    questions paired with answers from lawyers and grounded to concrete law book paragraphs.
    We experiment with a variety of retrieval and answer generation models and provide
    an in-depth analysis of limitations, which helps us to provide first empirical
    answers to the question above.
author:
- first_name: Marius
  full_name: Büttner, Marius
  last_name: Büttner
- first_name: Ivan
  full_name: Habernal, Ivan
  id: '101881'
  last_name: Habernal
citation:
  ama: 'Büttner M, Habernal I. Answering legal questions from laymen in German civil
    law system. In: Graham Y, Purver M, eds. <i>Proceedings of the 18th Conference
    of the European Chapter of the Association for Computational Linguistics (Volume
    1: Long Papers)</i>. Association for Computational Linguistics; 2024:2015–2027.'
  apa: 'Büttner, M., &#38; Habernal, I. (2024). Answering legal questions from laymen
    in German civil law system. In Y. Graham &#38; M. Purver (Eds.), <i>Proceedings
    of the 18th Conference of the European Chapter of the Association for Computational
    Linguistics (Volume 1: Long Papers)</i> (pp. 2015–2027). Association for Computational
    Linguistics.'
  bibtex: '@inproceedings{Büttner_Habernal_2024, place={St. Julian{’}s, Malta}, title={Answering
    legal questions from laymen in German civil law system}, booktitle={Proceedings
    of the 18th Conference of the European Chapter of the Association for Computational
    Linguistics (Volume 1: Long Papers)}, publisher={Association for Computational
    Linguistics}, author={Büttner, Marius and Habernal, Ivan}, editor={Graham, Yvette
    and Purver, Matthew}, year={2024}, pages={2015–2027} }'
  chicago: 'Büttner, Marius, and Ivan Habernal. “Answering Legal Questions from Laymen
    in German Civil Law System.” In <i>Proceedings of the 18th Conference of the European
    Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)</i>,
    edited by Yvette Graham and Matthew Purver, 2015–2027. St. Julian{’}s, Malta:
    Association for Computational Linguistics, 2024.'
  ieee: 'M. Büttner and I. Habernal, “Answering legal questions from laymen in German
    civil law system,” in <i>Proceedings of the 18th Conference of the European Chapter
    of the Association for Computational Linguistics (Volume 1: Long Papers)</i>,
    2024, pp. 2015–2027.'
  mla: 'Büttner, Marius, and Ivan Habernal. “Answering Legal Questions from Laymen
    in German Civil Law System.” <i>Proceedings of the 18th Conference of the European
    Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)</i>,
    edited by Yvette Graham and Matthew Purver, Association for Computational Linguistics,
    2024, pp. 2015–2027.'
  short: 'M. Büttner, I. Habernal, in: Y. Graham, M. Purver (Eds.), Proceedings of
    the 18th Conference of the European Chapter of the Association for Computational
    Linguistics (Volume 1: Long Papers), Association for Computational Linguistics,
    St. Julian{’}s, Malta, 2024, pp. 2015–2027.'
date_created: 2024-03-25T11:27:27Z
date_updated: 2024-03-25T11:28:00Z
editor:
- first_name: Yvette
  full_name: Graham, Yvette
  last_name: Graham
- first_name: Matthew
  full_name: Purver, Matthew
  last_name: Purver
language:
- iso: eng
page: 2015–2027
place: St. Julian{’}s, Malta
publication: 'Proceedings of the 18th Conference of the European Chapter of the Association
  for Computational Linguistics (Volume 1: Long Papers)'
publisher: Association for Computational Linguistics
status: public
title: Answering legal questions from laymen in German civil law system
type: conference
user_id: '15504'
year: '2024'
...
---
_id: '53134'
author:
- first_name: Andre
  full_name: Hirsch, Andre
  id: '27599'
  last_name: Hirsch
citation:
  ama: Hirsch A. <i>Ein Beitrag Zur Erarbeitung von Fertigungsrichtlinien Für Das
    Kunststoff Freiformen </i>.; 2024. doi:<a href="https://doi.org/978-3-8440-9409-1">978-3-8440-9409-1</a>
  apa: Hirsch, A. (2024). <i>Ein Beitrag zur Erarbeitung von Fertigungsrichtlinien
    für das Kunststoff Freiformen </i>. <a href="https://doi.org/978-3-8440-9409-1">https://doi.org/978-3-8440-9409-1</a>
  bibtex: '@book{Hirsch_2024, title={Ein Beitrag zur Erarbeitung von Fertigungsrichtlinien
    für das Kunststoff Freiformen }, DOI={<a href="https://doi.org/978-3-8440-9409-1">978-3-8440-9409-1</a>},
    author={Hirsch, Andre}, year={2024} }'
  chicago: Hirsch, Andre. <i>Ein Beitrag Zur Erarbeitung von Fertigungsrichtlinien
    Für Das Kunststoff Freiformen </i>, 2024. <a href="https://doi.org/978-3-8440-9409-1">https://doi.org/978-3-8440-9409-1</a>.
  ieee: A. Hirsch, <i>Ein Beitrag zur Erarbeitung von Fertigungsrichtlinien für das
    Kunststoff Freiformen </i>. 2024.
  mla: Hirsch, Andre. <i>Ein Beitrag Zur Erarbeitung von Fertigungsrichtlinien Für
    Das Kunststoff Freiformen </i>. 2024, doi:<a href="https://doi.org/978-3-8440-9409-1">978-3-8440-9409-1</a>.
  short: A. Hirsch, Ein Beitrag Zur Erarbeitung von Fertigungsrichtlinien Für Das
    Kunststoff Freiformen , 2024.
date_created: 2024-04-02T12:42:11Z
date_updated: 2024-04-02T12:42:13Z
department:
- _id: '9'
- _id: '367'
- _id: '321'
doi: 978-3-8440-9409-1
language:
- iso: eng
status: public
title: 'Ein Beitrag zur Erarbeitung von Fertigungsrichtlinien für das Kunststoff Freiformen '
type: dissertation
user_id: '44116'
year: '2024'
...
---
_id: '53135'
author:
- first_name: Michael
  full_name: Schadomsky, Michael
  last_name: Schadomsky
citation:
  ama: Schadomsky M. <i>Experimentelle Und Simulative Analyse Der Mischwirkung in
    Einschneckenextrudern</i>.; 2024. doi:<a href="https://doi.org/978-3-8440-9334-6">978-3-8440-9334-6</a>
  apa: Schadomsky, M. (2024). <i>Experimentelle und simulative Analyse der Mischwirkung
    in Einschneckenextrudern</i>. <a href="https://doi.org/978-3-8440-9334-6">https://doi.org/978-3-8440-9334-6</a>
  bibtex: '@book{Schadomsky_2024, title={Experimentelle und simulative Analyse der
    Mischwirkung in Einschneckenextrudern}, DOI={<a href="https://doi.org/978-3-8440-9334-6">978-3-8440-9334-6</a>},
    author={Schadomsky, Michael}, year={2024} }'
  chicago: Schadomsky, Michael. <i>Experimentelle Und Simulative Analyse Der Mischwirkung
    in Einschneckenextrudern</i>, 2024. <a href="https://doi.org/978-3-8440-9334-6">https://doi.org/978-3-8440-9334-6</a>.
  ieee: M. Schadomsky, <i>Experimentelle und simulative Analyse der Mischwirkung in
    Einschneckenextrudern</i>. 2024.
  mla: Schadomsky, Michael. <i>Experimentelle Und Simulative Analyse Der Mischwirkung
    in Einschneckenextrudern</i>. 2024, doi:<a href="https://doi.org/978-3-8440-9334-6">978-3-8440-9334-6</a>.
  short: M. Schadomsky, Experimentelle Und Simulative Analyse Der Mischwirkung in
    Einschneckenextrudern, 2024.
date_created: 2024-04-02T12:44:30Z
date_updated: 2024-04-02T12:44:35Z
department:
- _id: '9'
- _id: '367'
- _id: '321'
doi: 978-3-8440-9334-6
language:
- iso: eng
status: public
title: Experimentelle und simulative Analyse der Mischwirkung in Einschneckenextrudern
type: dissertation
user_id: '44116'
year: '2024'
...
---
_id: '37704'
author:
- first_name: Christoph
  full_name: Ksouri-Gerwien, Christoph
  last_name: Ksouri-Gerwien
- first_name: Christian
  full_name: Vorbohle, Christian
  id: '29951'
  last_name: Vorbohle
citation:
  ama: 'Ksouri-Gerwien C, Vorbohle C. Anwendung von System Dynamics zur Geschäftsmodellinnovation
    in einem B2B-Ökosystem. In: Schallmo DRA, Kundisch D, Lang K, eds. <i>Digitale
    Plattformen und Ökosysteme im B2B-Bereich</i>. Springer Gabler; 2024.'
  apa: Ksouri-Gerwien, C., &#38; Vorbohle, C. (2024). Anwendung von System Dynamics
    zur Geschäftsmodellinnovation in einem B2B-Ökosystem. In D. R. A. Schallmo, D.
    Kundisch, &#38; K. Lang (Eds.), <i>Digitale Plattformen und Ökosysteme im B2B-Bereich</i>.
    Springer Gabler.
  bibtex: '@inbook{Ksouri-Gerwien_Vorbohle_2024, place={Wiesbaden}, title={Anwendung
    von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem}, booktitle={Digitale
    Plattformen und Ökosysteme im B2B-Bereich}, publisher={Springer Gabler}, author={Ksouri-Gerwien,
    Christoph and Vorbohle, Christian}, editor={Schallmo, D.R.A. and Kundisch, Dennis
    and Lang, K.}, year={2024} }'
  chicago: 'Ksouri-Gerwien, Christoph, and Christian Vorbohle. “Anwendung von System
    Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem.” In <i>Digitale
    Plattformen und Ökosysteme im B2B-Bereich</i>, edited by D.R.A. Schallmo, Dennis
    Kundisch, and K. Lang. Wiesbaden: Springer Gabler, 2024.'
  ieee: 'C. Ksouri-Gerwien and C. Vorbohle, “Anwendung von System Dynamics zur Geschäftsmodellinnovation
    in einem B2B-Ökosystem,” in <i>Digitale Plattformen und Ökosysteme im B2B-Bereich</i>,
    D. R. A. Schallmo, D. Kundisch, and K. Lang, Eds. Wiesbaden: Springer Gabler,
    2024.'
  mla: Ksouri-Gerwien, Christoph, and Christian Vorbohle. “Anwendung von System Dynamics
    zur Geschäftsmodellinnovation in einem B2B-Ökosystem.” <i>Digitale Plattformen
    und Ökosysteme im B2B-Bereich</i>, edited by D.R.A. Schallmo et al., Springer
    Gabler, 2024.
  short: 'C. Ksouri-Gerwien, C. Vorbohle, in: D.R.A. Schallmo, D. Kundisch, K. Lang
    (Eds.), Digitale Plattformen und Ökosysteme im B2B-Bereich, Springer Gabler, Wiesbaden,
    2024.'
date_created: 2023-01-20T10:57:37Z
date_updated: 2024-04-05T09:31:10Z
department:
- _id: '276'
editor:
- first_name: D.R.A.
  full_name: Schallmo, D.R.A.
  last_name: Schallmo
- first_name: Dennis
  full_name: Kundisch, Dennis
  last_name: Kundisch
- first_name: K.
  full_name: Lang, K.
  last_name: Lang
language:
- iso: ger
place: Wiesbaden
project:
- _id: '1'
  grant_number: '160364472'
  name: 'SFB 901: SFB 901'
- _id: '4'
  name: 'SFB 901 - C: SFB 901 - Project Area C'
- _id: '17'
  name: 'SFB 901 - C5: SFB 901 - Subproject C5'
publication: Digitale Plattformen und Ökosysteme im B2B-Bereich
publisher: Springer Gabler
status: public
title: Anwendung von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem
type: book_chapter
user_id: '29951'
year: '2024'
...
---
_id: '53316'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>The quasilinear Keller–Segel system
    <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{
    \\begin{array}{l} u_t=\\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (S(u)\\nabla
    v), \\\\ v_t=\\Delta v-v+u, \\end{array}\\right. \\end{aligned}$$</jats:tex-math><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:mi>t</mml:mi>\r\n                                      </mml:msub>\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:mi>D</mml:mi>\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:mrow>\r\n                                        <mml:mi>∇</mml:mi>\r\n
    \                                       <mml:mi>u</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n
    \                                     </mml:mrow>\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:mi>S</mml:mi>\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:mrow>\r\n
    \                                       <mml:mi>∇</mml:mi>\r\n                                        <mml:mi>v</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: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>v</mml:mi>\r\n
    \                                       <mml:mi>t</mml:mi>\r\n                                      </mml:msub>\r\n
    \                                     <mml:mo>=</mml:mo>\r\n                                      <mml:mi>Δ</mml:mi>\r\n
    \                                     <mml:mi>v</mml:mi>\r\n                                      <mml:mo>-</mml:mo>\r\n
    \                                     <mml:mi>v</mml:mi>\r\n                                      <mml:mo>+</mml:mo>\r\n
    \                                     <mml:mi>u</mml:mi>\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></jats:alternatives></jats:disp-formula>endowed
    with homogeneous Neumann boundary conditions is considered in a bounded domain
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Omega \\subset {\\mathbb
    {R}}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>Ω</mml:mi>\r\n                    <mml:mo>⊂</mml:mo>\r\n
    \                   <mml:msup>\r\n                      <mml:mrow>\r\n                        <mml:mi>R</mml:mi>\r\n
    \                     </mml:mrow>\r\n                      <mml:mi>n</mml:mi>\r\n
    \                   </mml:msup>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$n \\ge 3$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>n</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n
    \                   <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    with smooth boundary for sufficiently regular functions <jats:italic>D</jats:italic>
    and <jats:italic>S</jats:italic> satisfying <jats:inline-formula><jats:alternatives><jats:tex-math>$$D&gt;0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>D</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    on <jats:inline-formula><jats:alternatives><jats:tex-math>$$[0,\\infty )$$</jats:tex-math><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></jats:alternatives></jats:inline-formula>,
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$S&gt;0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>S</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    on <jats:inline-formula><jats:alternatives><jats:tex-math>$$(0,\\infty )$$</jats:tex-math><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></jats:alternatives></jats:inline-formula>
    and <jats:inline-formula><jats:alternatives><jats:tex-math>$$S(0)=0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>S</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></jats:alternatives></jats:inline-formula>.
    On the one hand, it is shown that if <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\frac{S}{D}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mfrac>\r\n
    \                   <mml:mi>S</mml:mi>\r\n                    <mml:mi>D</mml:mi>\r\n
    \                 </mml:mfrac>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    satisfies the subcritical growth condition <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\frac{S(s)}{D(s)} \\le C s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge
    1 \\qquad \\text{ with } \\text{ some } \\alpha &lt; \\frac{2}{n} \\end{aligned}$$</jats:tex-math><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:mfrac>\r\n
    \                             <mml:mrow>\r\n                                <mml:mi>S</mml:mi>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mrow>\r\n                                <mml:mi>D</mml:mi>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                           </mml:mfrac>\r\n                            <mml:mo>≤</mml:mo>\r\n
    \                           <mml:mi>C</mml:mi>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>s</mml:mi>\r\n                              <mml:mi>α</mml:mi>\r\n
    \                           </mml:msup>\r\n                            <mml:mspace
    />\r\n                            <mml:mspace />\r\n                            <mml:mtext>for</mml:mtext>\r\n
    \                           <mml:mspace />\r\n                            <mml:mspace
    />\r\n                            <mml:mtext>all</mml:mtext>\r\n                            <mml:mspace
    />\r\n                            <mml:mi>s</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n
    \                           <mml:mn>1</mml:mn>\r\n                            <mml:mspace
    />\r\n                            <mml:mspace />\r\n                            <mml:mtext>with</mml:mtext>\r\n
    \                           <mml:mspace />\r\n                            <mml:mspace
    />\r\n                            <mml:mtext>some</mml:mtext>\r\n                            <mml:mspace
    />\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&lt;</mml:mo>\r\n
    \                           <mml:mfrac>\r\n                              <mml:mn>2</mml:mn>\r\n
    \                             <mml:mi>n</mml:mi>\r\n                            </mml:mfrac>\r\n
    \                         </mml:mrow>\r\n                        </mml:mtd>\r\n
    \                     </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n
    \               </mml:math></jats:alternatives></jats:disp-formula>and <jats:inline-formula><jats:alternatives><jats:tex-math>$$C&gt;0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>C</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    then for any sufficiently regular initial data there exists a global weak energy
    solution such that <jats:inline-formula><jats:alternatives><jats:tex-math>$${
    \\mathrm{{ess}}} \\sup _{t&gt;0} \\Vert u(t) \\Vert _{L^p(\\Omega )}&lt;\\infty
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>ess</mml:mi>\r\n                    <mml:msub>\r\n
    \                     <mml:mo>sup</mml:mo>\r\n                      <mml:mrow>\r\n
    \                       <mml:mi>t</mml:mi>\r\n                        <mml:mo>&gt;</mml:mo>\r\n
    \                       <mml:mn>0</mml:mn>\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:mi>u</mml:mi>\r\n
    \                       <mml:mrow>\r\n                          <mml:mo>(</mml:mo>\r\n
    \                         <mml:mi>t</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:msup>\r\n
    \                         <mml:mi>L</mml:mi>\r\n                          <mml:mi>p</mml:mi>\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:msub>\r\n                    <mml:mo>&lt;</mml:mo>\r\n
    \                   <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    for some <jats:inline-formula><jats:alternatives><jats:tex-math>$$p &gt; \\frac{2n}{n+2}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>p</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n
    \                   <mml:mfrac>\r\n                      <mml:mrow>\r\n                        <mml:mn>2</mml:mn>\r\n
    \                       <mml:mi>n</mml:mi>\r\n                      </mml:mrow>\r\n
    \                     <mml:mrow>\r\n                        <mml:mi>n</mml:mi>\r\n
    \                       <mml:mo>+</mml:mo>\r\n                        <mml:mn>2</mml:mn>\r\n
    \                     </mml:mrow>\r\n                    </mml:mfrac>\r\n                  </mml:mrow>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula>. On the
    other hand, if <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\frac{S}{D}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mfrac>\r\n
    \                   <mml:mi>S</mml:mi>\r\n                    <mml:mi>D</mml:mi>\r\n
    \                 </mml:mfrac>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    satisfies the supercritical growth condition <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\frac{S(s)}{D(s)} \\ge c s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge
    1 \\qquad \\text{ with } \\text{ some } \\alpha &gt; \\frac{2}{n} \\end{aligned}$$</jats:tex-math><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:mfrac>\r\n
    \                             <mml:mrow>\r\n                                <mml:mi>S</mml:mi>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mrow>\r\n                                <mml:mi>D</mml:mi>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                           </mml:mfrac>\r\n                            <mml:mo>≥</mml:mo>\r\n
    \                           <mml:mi>c</mml:mi>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>s</mml:mi>\r\n                              <mml:mi>α</mml:mi>\r\n
    \                           </mml:msup>\r\n                            <mml:mspace
    />\r\n                            <mml:mspace />\r\n                            <mml:mtext>for</mml:mtext>\r\n
    \                           <mml:mspace />\r\n                            <mml:mspace
    />\r\n                            <mml:mtext>all</mml:mtext>\r\n                            <mml:mspace
    />\r\n                            <mml:mi>s</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n
    \                           <mml:mn>1</mml:mn>\r\n                            <mml:mspace
    />\r\n                            <mml:mspace />\r\n                            <mml:mtext>with</mml:mtext>\r\n
    \                           <mml:mspace />\r\n                            <mml:mspace
    />\r\n                            <mml:mtext>some</mml:mtext>\r\n                            <mml:mspace
    />\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&gt;</mml:mo>\r\n
    \                           <mml:mfrac>\r\n                              <mml:mn>2</mml:mn>\r\n
    \                             <mml:mi>n</mml:mi>\r\n                            </mml:mfrac>\r\n
    \                         </mml:mrow>\r\n                        </mml:mtd>\r\n
    \                     </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n
    \               </mml:math></jats:alternatives></jats:disp-formula>and <jats:inline-formula><jats:alternatives><jats:tex-math>$$c&gt;0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>c</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    then the nonexistence of a global weak energy solution having the boundedness
    property stated above is shown for some initial data in the radial setting. This
    establishes some criticality of the value <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\alpha
    = \\frac{2}{n}$$</jats:tex-math><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>=</mml:mo>\r\n
    \                   <mml:mfrac>\r\n                      <mml:mn>2</mml:mn>\r\n
    \                     <mml:mi>n</mml:mi>\r\n                    </mml:mfrac>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    for <jats:inline-formula><jats:alternatives><jats:tex-math>$$n \\ge 3$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>n</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n
    \                   <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    without any additional assumption on the behavior of <jats:italic>D</jats:italic>(<jats:italic>s</jats:italic>)
    as <jats:inline-formula><jats:alternatives><jats:tex-math>$$s \\rightarrow \\infty
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>s</mml:mi>\r\n                    <mml:mo>→</mml:mo>\r\n
    \                   <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    in particular without requiring any algebraic lower bound for <jats:italic>D</jats:italic>.
    When applied to the Keller–Segel system with volume-filling effect for probability
    distribution functions of the type <jats:inline-formula><jats:alternatives><jats:tex-math>$$Q(s)
    = \\exp (-s^\\beta )$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>Q</mml:mi>\r\n                    <mml:mrow>\r\n
    \                     <mml:mo>(</mml:mo>\r\n                      <mml:mi>s</mml:mi>\r\n
    \                     <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n
    \                   <mml:mo>=</mml:mo>\r\n                    <mml:mo>exp</mml:mo>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n
    \                     <mml:mo>-</mml:mo>\r\n                      <mml:msup>\r\n
    \                       <mml:mi>s</mml:mi>\r\n                        <mml:mi>β</mml:mi>\r\n
    \                     </mml:msup>\r\n                      <mml:mo>)</mml:mo>\r\n
    \                   </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$s \\ge 0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>s</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    for global solvability the exponent <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\beta
    = \\frac{n-2}{n}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>β</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n
    \                   <mml:mfrac>\r\n                      <mml:mrow>\r\n                        <mml:mi>n</mml:mi>\r\n
    \                       <mml:mo>-</mml:mo>\r\n                        <mml:mn>2</mml:mn>\r\n
    \                     </mml:mrow>\r\n                      <mml:mi>n</mml:mi>\r\n
    \                   </mml:mfrac>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    is seen to be critical.\r\n</jats:p>"
article_number: '26'
author:
- first_name: Christian
  full_name: Stinner, Christian
  last_name: Stinner
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Stinner C, Winkler M. A critical exponent in a quasilinear Keller–Segel system
    with arbitrarily fast decaying diffusivities accounting for volume-filling effects.
    <i>Journal of Evolution Equations</i>. 2024;24(2). doi:<a href="https://doi.org/10.1007/s00028-024-00954-x">10.1007/s00028-024-00954-x</a>
  apa: Stinner, C., &#38; Winkler, M. (2024). A critical exponent in a quasilinear
    Keller–Segel system with arbitrarily fast decaying diffusivities accounting for
    volume-filling effects. <i>Journal of Evolution Equations</i>, <i>24</i>(2), Article
    26. <a href="https://doi.org/10.1007/s00028-024-00954-x">https://doi.org/10.1007/s00028-024-00954-x</a>
  bibtex: '@article{Stinner_Winkler_2024, title={A critical exponent in a quasilinear
    Keller–Segel system with arbitrarily fast decaying diffusivities accounting for
    volume-filling effects}, volume={24}, DOI={<a href="https://doi.org/10.1007/s00028-024-00954-x">10.1007/s00028-024-00954-x</a>},
    number={226}, journal={Journal of Evolution Equations}, publisher={Springer Science
    and Business Media LLC}, author={Stinner, Christian and Winkler, Michael}, year={2024}
    }'
  chicago: Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear
    Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for
    Volume-Filling Effects.” <i>Journal of Evolution Equations</i> 24, no. 2 (2024).
    <a href="https://doi.org/10.1007/s00028-024-00954-x">https://doi.org/10.1007/s00028-024-00954-x</a>.
  ieee: 'C. Stinner and M. Winkler, “A critical exponent in a quasilinear Keller–Segel
    system with arbitrarily fast decaying diffusivities accounting for volume-filling
    effects,” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, Art. no. 26,
    2024, doi: <a href="https://doi.org/10.1007/s00028-024-00954-x">10.1007/s00028-024-00954-x</a>.'
  mla: Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear
    Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for
    Volume-Filling Effects.” <i>Journal of Evolution Equations</i>, vol. 24, no. 2,
    26, Springer Science and Business Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s00028-024-00954-x">10.1007/s00028-024-00954-x</a>.
  short: C. Stinner, M. Winkler, Journal of Evolution Equations 24 (2024).
date_created: 2024-04-07T12:29:25Z
date_updated: 2024-04-07T12:36:21Z
doi: 10.1007/s00028-024-00954-x
intvolume: '        24'
issue: '2'
keyword:
- Mathematics (miscellaneous)
language:
- iso: eng
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: A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast
  decaying diffusivities accounting for volume-filling effects
type: journal_article
user_id: '31496'
volume: 24
year: '2024'
...
---
_id: '52096'
author:
- first_name: Hermann
  full_name: Kamp, Hermann
  id: '125'
  last_name: Kamp
citation:
  ama: Kamp H. Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein
    und Maas zwischen 880 und 892. <i>Zeitschrift des Aachener Geschichtsvereins </i>.
    2024;123/124, 2021-2022:137-167.
  apa: Kamp, H. (2024). Zwischen Beutesuche und politischen Ambitionen. Die Normannen
    an Rhein und Maas zwischen 880 und 892. <i>Zeitschrift des Aachener Geschichtsvereins
    </i>, <i>123/124, 2021–2022</i>, 137–167.
  bibtex: '@article{Kamp_2024, title={Zwischen Beutesuche und politischen Ambitionen.
    Die Normannen an Rhein und Maas zwischen 880 und 892}, volume={123/124, 2021–2022},
    journal={Zeitschrift des Aachener Geschichtsvereins }, publisher={VERLAGSDRUCKEREI
    SCHMIDT GMBH}, author={Kamp, Hermann}, year={2024}, pages={137–167} }'
  chicago: 'Kamp, Hermann. “Zwischen Beutesuche und politischen Ambitionen. Die Normannen
    an Rhein und Maas zwischen 880 und 892.” <i>Zeitschrift des Aachener Geschichtsvereins
    </i> 123/124, 2021–2022 (2024): 137–67.'
  ieee: H. Kamp, “Zwischen Beutesuche und politischen Ambitionen. Die Normannen an
    Rhein und Maas zwischen 880 und 892,” <i>Zeitschrift des Aachener Geschichtsvereins
    </i>, vol. 123/124, 2021–2022, pp. 137–167, 2024.
  mla: Kamp, Hermann. “Zwischen Beutesuche und politischen Ambitionen. Die Normannen
    an Rhein und Maas zwischen 880 und 892.” <i>Zeitschrift des Aachener Geschichtsvereins
    </i>, vol. 123/124, 2021–2022, VERLAGSDRUCKEREI SCHMIDT GMBH, 2024, pp. 137–67.
  short: H. Kamp, Zeitschrift des Aachener Geschichtsvereins  123/124, 2021–2022 (2024)
    137–167.
date_created: 2024-02-27T10:52:14Z
date_updated: 2024-04-11T10:51:35Z
department:
- _id: '512'
language:
- iso: ger
page: 137-167
publication: 'Zeitschrift des Aachener Geschichtsvereins '
publication_identifier:
  unknown:
  - 978-3-87707-300-1
publication_status: published
publisher: VERLAGSDRUCKEREI SCHMIDT GMBH
status: public
title: Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und
  Maas zwischen 880 und 892
type: journal_article
user_id: '54666'
volume: 123/124, 2021-2022
year: '2024'
...
---
_id: '53417'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>Remote-controlled
    telescopes in education provide the opportunity to obtain high quality astronomy
    images for a broad variety of users. The Stellarium Gornergrat is such a telescope.
    In addition to pure observation, it offers a user-friendly interface and teaching
    modules so that astronomical and astrophysical projects can be integrated into
    everyday school life without any special prior knowledge and without requiring
    a lot of time. This contribution presents the Stellarium project and a provides
    an overview of several teaching activities.</jats:p>"
article_number: '012011'
author:
- first_name: Stéphane
  full_name: Gschwind, Stéphane
  last_name: Gschwind
- first_name: Sascha
  full_name: Hohmann, Sascha
  id: '94328'
  last_name: Hohmann
  orcid: 0000-0001-6145-3466
- first_name: Andreas
  full_name: Müller, Andreas
  last_name: Müller
- first_name: Jeffrey
  full_name: Nordine, Jeffrey
  last_name: Nordine
- first_name: Timm-Emanuel
  full_name: Riesen, Timm-Emanuel
  last_name: Riesen
citation:
  ama: 'Gschwind S, Hohmann S, Müller A, Nordine J, Riesen T-E. The Stellarium Gornergrat:
    Astrophysics with your own Data. <i>Journal of Physics: Conference Series</i>.
    2024;2727(1). doi:<a href="https://doi.org/10.1088/1742-6596/2727/1/012011">10.1088/1742-6596/2727/1/012011</a>'
  apa: 'Gschwind, S., Hohmann, S., Müller, A., Nordine, J., &#38; Riesen, T.-E. (2024).
    The Stellarium Gornergrat: Astrophysics with your own Data. <i>Journal of Physics:
    Conference Series</i>, <i>2727</i>(1), Article 012011. <a href="https://doi.org/10.1088/1742-6596/2727/1/012011">https://doi.org/10.1088/1742-6596/2727/1/012011</a>'
  bibtex: '@article{Gschwind_Hohmann_Müller_Nordine_Riesen_2024, title={The Stellarium
    Gornergrat: Astrophysics with your own Data}, volume={2727}, DOI={<a href="https://doi.org/10.1088/1742-6596/2727/1/012011">10.1088/1742-6596/2727/1/012011</a>},
    number={1012011}, journal={Journal of Physics: Conference Series}, publisher={IOP
    Publishing}, author={Gschwind, Stéphane and Hohmann, Sascha and Müller, Andreas
    and Nordine, Jeffrey and Riesen, Timm-Emanuel}, year={2024} }'
  chicago: 'Gschwind, Stéphane, Sascha Hohmann, Andreas Müller, Jeffrey Nordine, and
    Timm-Emanuel Riesen. “The Stellarium Gornergrat: Astrophysics with Your Own Data.”
    <i>Journal of Physics: Conference Series</i> 2727, no. 1 (2024). <a href="https://doi.org/10.1088/1742-6596/2727/1/012011">https://doi.org/10.1088/1742-6596/2727/1/012011</a>.'
  ieee: 'S. Gschwind, S. Hohmann, A. Müller, J. Nordine, and T.-E. Riesen, “The Stellarium
    Gornergrat: Astrophysics with your own Data,” <i>Journal of Physics: Conference
    Series</i>, vol. 2727, no. 1, Art. no. 012011, 2024, doi: <a href="https://doi.org/10.1088/1742-6596/2727/1/012011">10.1088/1742-6596/2727/1/012011</a>.'
  mla: 'Gschwind, Stéphane, et al. “The Stellarium Gornergrat: Astrophysics with Your
    Own Data.” <i>Journal of Physics: Conference Series</i>, vol. 2727, no. 1, 012011,
    IOP Publishing, 2024, doi:<a href="https://doi.org/10.1088/1742-6596/2727/1/012011">10.1088/1742-6596/2727/1/012011</a>.'
  short: 'S. Gschwind, S. Hohmann, A. Müller, J. Nordine, T.-E. Riesen, Journal of
    Physics: Conference Series 2727 (2024).'
conference:
  end_date: 2021-12-16
  location: Hanoi
  name: 3rd World Conference on Physics Education
  start_date: 2021-12-13
date_created: 2024-04-11T12:37:49Z
date_updated: 2024-04-12T11:34:19Z
doi: 10.1088/1742-6596/2727/1/012011
intvolume: '      2727'
issue: '1'
keyword:
- Computer Science Applications
- History
- Education
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://iopscience.iop.org/article/10.1088/1742-6596/2727/1/012011/pdf
oa: '1'
publication: 'Journal of Physics: Conference Series'
publication_identifier:
  issn:
  - 1742-6588
  - 1742-6596
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
status: public
title: 'The Stellarium Gornergrat: Astrophysics with your own Data'
type: journal_article
user_id: '94328'
volume: 2727
year: '2024'
...
---
_id: '53473'
author:
- first_name: Stefan
  full_name: Elit, Stefan
  id: '105'
  last_name: Elit
  orcid: 0000-0002-4719-1073
citation:
  ama: 'Elit S. ‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea
    Streisands „Hufeland, Ecke Bötzow“. In: Elit S, Eke NO, eds. <i>‚Topographisches‘
    Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023</i>. Vol 41. Paderborner
    Gastdozentur für Schriftstellerinnen und Schriftsteller. Aisthesis; 2024:137-154.'
  apa: 'Elit, S. (2024). ‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“
    und Lea Streisands „Hufeland, Ecke Bötzow“. In S. Elit &#38; N. O. Eke (Eds.),
    <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023:
    Vol. 41.</i> (pp. 137–154). Aisthesis.'
  bibtex: '@inbook{Elit_2024, place={Bielefeld}, series={Paderborner Gastdozentur
    für Schriftstellerinnen und Schriftsteller}, title={‚Schelmische‘ Post-DDR-Romane:
    Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“}, volume={41.},
    booktitle={‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester
    2022/2023}, publisher={Aisthesis}, author={Elit, Stefan}, editor={Elit, Stefan
    and Eke, Norbert Otto}, year={2024}, pages={137–154}, collection={Paderborner
    Gastdozentur für Schriftstellerinnen und Schriftsteller} }'
  chicago: 'Elit, Stefan. “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“
    und Lea Streisands „Hufeland, Ecke Bötzow“.” In <i>‚Topographisches‘ Schreiben:
    Lea Streisand, Paderborn, Wintersemester 2022/2023</i>, edited by Stefan Elit
    and Norbert Otto Eke, 41.:137–54. Paderborner Gastdozentur für Schriftstellerinnen
    und Schriftsteller. Bielefeld: Aisthesis, 2024.'
  ieee: 'S. Elit, “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und
    Lea Streisands „Hufeland, Ecke Bötzow“,” in <i>‚Topographisches‘ Schreiben: Lea
    Streisand, Paderborn, Wintersemester 2022/2023</i>, vol. 41., S. Elit and N. O.
    Eke, Eds. Bielefeld: Aisthesis, 2024, pp. 137–154.'
  mla: 'Elit, Stefan. “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“
    und Lea Streisands „Hufeland, Ecke Bötzow“.” <i>‚Topographisches‘ Schreiben: Lea
    Streisand, Paderborn, Wintersemester 2022/2023</i>, edited by Stefan Elit and
    Norbert Otto Eke, vol. 41., Aisthesis, 2024, pp. 137–54.'
  short: 'S. Elit, in: S. Elit, N.O. Eke (Eds.), ‚Topographisches‘ Schreiben: Lea
    Streisand, Paderborn, Wintersemester 2022/2023, Aisthesis, Bielefeld, 2024, pp.
    137–154.'
date_created: 2024-04-12T16:05:19Z
date_updated: 2024-04-12T16:06:59Z
department:
- _id: '465'
- _id: '5'
editor:
- first_name: Stefan
  full_name: Elit, Stefan
  last_name: Elit
- first_name: Norbert Otto
  full_name: Eke, Norbert Otto
  last_name: Eke
language:
- iso: ger
page: 137-154
place: Bielefeld
publication: '‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester
  2022/2023'
publication_identifier:
  eisbn:
  - 978-3-8498-1958-3
  isbn:
  - 978-3-8498-1957-6
publication_status: published
publisher: Aisthesis
series_title: Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller
status: public
title: '‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands
  „Hufeland, Ecke Bötzow“'
type: book_chapter
user_id: '105'
volume: '41.'
year: '2024'
...
---
_id: '53474'
abstract:
- lang: eng
  text: We present a novel approach to characterize and quantify microheterogeneity
    and microphase separation in computer simulations of complex liquid mixtures.
    Our post-processing method is based on local density fluctuations of the different
    constituents in sampling spheres of varying size. It can be easily applied to
    both molecular dynamics (MD) and Monte Carlo (MC) simulations, including periodic
    boundary conditions. Multidimensional correlation of the density distributions
    yields a clear picture of the domain formation due to the subtle balance of different
    interactions. We apply our approach to the example of force field molecular dynamics
    simulations of imidazolium-based ionic liquids with different side chain lengths
    at different temperatures, namely 1-ethyl-3-methylimidazolium chloride, 1-hexyl-3-methylimidazolium
    chloride, and 1-decyl-3-methylimidazolium chloride, which are known to form distinct
    liquid domains. We put the results into the context of existing microheterogeneity
    analyses and demonstrate the advantages and sensitivity of our novel method. Furthermore,
    we show how to estimate the configuration entropy from our analysis, and we investigate
    voids in the system. The analysis has been implemented into our program package
    TRAVIS and is thus available as free software.
article_number: '322'
author:
- first_name: Michael
  full_name: Lass, Michael
  id: '24135'
  last_name: Lass
  orcid: 0000-0002-5708-7632
- first_name: Tobias
  full_name: Kenter, Tobias
  id: '3145'
  last_name: Kenter
- first_name: Christian
  full_name: Plessl, Christian
  id: '16153'
  last_name: Plessl
  orcid: 0000-0001-5728-9982
- first_name: Martin
  full_name: Brehm, Martin
  id: '100167'
  last_name: Brehm
citation:
  ama: Lass M, Kenter T, Plessl C, Brehm M. Characterizing Microheterogeneity in Liquid
    Mixtures via Local Density Fluctuations. <i>Entropy</i>. 2024;26(4). doi:<a href="https://doi.org/10.3390/e26040322">10.3390/e26040322</a>
  apa: Lass, M., Kenter, T., Plessl, C., &#38; Brehm, M. (2024). Characterizing Microheterogeneity
    in Liquid Mixtures via Local Density Fluctuations. <i>Entropy</i>, <i>26</i>(4),
    Article 322. <a href="https://doi.org/10.3390/e26040322">https://doi.org/10.3390/e26040322</a>
  bibtex: '@article{Lass_Kenter_Plessl_Brehm_2024, title={Characterizing Microheterogeneity
    in Liquid Mixtures via Local Density Fluctuations}, volume={26}, DOI={<a href="https://doi.org/10.3390/e26040322">10.3390/e26040322</a>},
    number={4322}, journal={Entropy}, publisher={MDPI AG}, author={Lass, Michael and
    Kenter, Tobias and Plessl, Christian and Brehm, Martin}, year={2024} }'
  chicago: Lass, Michael, Tobias Kenter, Christian Plessl, and Martin Brehm. “Characterizing
    Microheterogeneity in Liquid Mixtures via Local Density Fluctuations.” <i>Entropy</i>
    26, no. 4 (2024). <a href="https://doi.org/10.3390/e26040322">https://doi.org/10.3390/e26040322</a>.
  ieee: 'M. Lass, T. Kenter, C. Plessl, and M. Brehm, “Characterizing Microheterogeneity
    in Liquid Mixtures via Local Density Fluctuations,” <i>Entropy</i>, vol. 26, no.
    4, Art. no. 322, 2024, doi: <a href="https://doi.org/10.3390/e26040322">10.3390/e26040322</a>.'
  mla: Lass, Michael, et al. “Characterizing Microheterogeneity in Liquid Mixtures
    via Local Density Fluctuations.” <i>Entropy</i>, vol. 26, no. 4, 322, MDPI AG,
    2024, doi:<a href="https://doi.org/10.3390/e26040322">10.3390/e26040322</a>.
  short: M. Lass, T. Kenter, C. Plessl, M. Brehm, Entropy 26 (2024).
date_created: 2024-04-12T18:31:39Z
date_updated: 2024-04-12T18:34:32Z
department:
- _id: '27'
- _id: '518'
- _id: '803'
doi: 10.3390/e26040322
intvolume: '        26'
issue: '4'
language:
- iso: eng
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Entropy
publication_identifier:
  issn:
  - 1099-4300
publication_status: published
publisher: MDPI AG
status: public
title: Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations
type: journal_article
user_id: '24135'
volume: 26
year: '2024'
...
---
_id: '53472'
citation:
  ama: 'Eke N, Elit S, eds. <i>’Topographisches‘ Schreiben: Lea Streisand. Paderborn
    Wintersemester 2022/23</i>. Vol 41. Aisthesis; 2024.'
  apa: 'Eke, N., &#38; Elit, S. (Eds.). (2024). <i>’Topographisches‘ Schreiben: Lea
    Streisand. Paderborn Wintersemester 2022/23: Vol. 41.</i> Aisthesis.'
  bibtex: '@book{Eke_Elit_2024, place={Bielefeld}, series={Paderborner Gastdozentur
    für Schriftstellerinnen und Schriftsteller}, title={’Topographisches‘ Schreiben:
    Lea Streisand. Paderborn Wintersemester 2022/23}, volume={41.}, publisher={Aisthesis},
    year={2024}, collection={Paderborner Gastdozentur für Schriftstellerinnen und
    Schriftsteller} }'
  chicago: 'Eke, Norbert, and Stefan Elit, eds. <i>’Topographisches‘ Schreiben: Lea
    Streisand. Paderborn Wintersemester 2022/23</i>. Vol. 41. Paderborner Gastdozentur
    für Schriftstellerinnen und Schriftsteller. Bielefeld: Aisthesis, 2024.'
  ieee: 'N. Eke and S. Elit, Eds., <i>’Topographisches‘ Schreiben: Lea Streisand.
    Paderborn Wintersemester 2022/23</i>, vol. 41. Bielefeld: Aisthesis, 2024.'
  mla: 'Eke, Norbert, and Stefan Elit, editors. <i>’Topographisches‘ Schreiben: Lea
    Streisand. Paderborn Wintersemester 2022/23</i>. Aisthesis, 2024.'
  short: 'N. Eke, S. Elit, eds., ’Topographisches‘ Schreiben: Lea Streisand. Paderborn
    Wintersemester 2022/23, Aisthesis, Bielefeld, 2024.'
date_created: 2024-04-12T15:56:15Z
date_updated: 2024-04-12T16:19:16Z
department:
- _id: '465'
- _id: '5'
editor:
- first_name: Norbert
  full_name: Eke, Norbert
  id: '104'
  last_name: Eke
- first_name: Stefan
  full_name: Elit, Stefan
  id: '105'
  last_name: Elit
  orcid: 0000-0002-4719-1073
language:
- iso: ger
page: '178'
place: Bielefeld
publication_identifier:
  eisbn:
  - 978-3-8498-1958-3
  isbn:
  - 978-3-8498-1957-6
publication_status: published
publisher: Aisthesis
series_title: Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller
status: public
title: '''Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23'
type: book_editor
user_id: '105'
volume: '41.'
year: '2024'
...
