---
_id: '63256'
article_number: '113600'
author:
- first_name: Vanja
  full_name: Nikolić, Vanja
  last_name: Nikolić
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Nikolić V, Winkler M. <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
    altimg="si15.svg" display="inline" id="d1e25"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math>
    blow-up in the Jordan–Moore–Gibson–Thompson equation. <i>Nonlinear Analysis</i>.
    2024;247. doi:<a href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>
  apa: Nikolić, V., &#38; Winkler, M. (2024). &#60;mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
    altimg="si15.svg" display="inline" id="d1e25"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;∞&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;
    blow-up in the Jordan–Moore–Gibson–Thompson equation. <i>Nonlinear Analysis</i>,
    <i>247</i>, Article 113600. <a href="https://doi.org/10.1016/j.na.2024.113600">https://doi.org/10.1016/j.na.2024.113600</a>
  bibtex: '@article{Nikolić_Winkler_2024, title={&#60;mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
    altimg="si15.svg" display="inline" id="d1e25"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;∞&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;
    blow-up in the Jordan–Moore–Gibson–Thompson equation}, volume={247}, DOI={<a href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>},
    number={113600}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Nikolić,
    Vanja and Winkler, Michael}, year={2024} }'
  chicago: Nikolić, Vanja, and Michael Winkler. “&#60;mml:Math Xmlns:Mml="http://Www.W3.Org/1998/Math/MathML"
    Altimg="si15.Svg" Display="inline" Id="d1e25"&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;L&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;∞&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;/Mml:Math&#62;
    Blow-up in the Jordan–Moore–Gibson–Thompson Equation.” <i>Nonlinear Analysis</i>
    247 (2024). <a href="https://doi.org/10.1016/j.na.2024.113600">https://doi.org/10.1016/j.na.2024.113600</a>.
  ieee: 'V. Nikolić and M. Winkler, “&#60;mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
    altimg="si15.svg" display="inline" id="d1e25"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;∞&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;
    blow-up in the Jordan–Moore–Gibson–Thompson equation,” <i>Nonlinear Analysis</i>,
    vol. 247, Art. no. 113600, 2024, doi: <a href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>.'
  mla: Nikolić, Vanja, and Michael Winkler. “&#60;mml:Math Xmlns:Mml="http://Www.W3.Org/1998/Math/MathML"
    Altimg="si15.Svg" Display="inline" Id="d1e25"&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;L&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;∞&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;/Mml:Math&#62;
    Blow-up in the Jordan–Moore–Gibson–Thompson Equation.” <i>Nonlinear Analysis</i>,
    vol. 247, 113600, Elsevier BV, 2024, doi:<a href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>.
  short: V. Nikolić, M. Winkler, Nonlinear Analysis 247 (2024).
date_created: 2025-12-18T19:06:09Z
date_updated: 2025-12-18T20:14:12Z
doi: 10.1016/j.na.2024.113600
intvolume: '       247'
language:
- iso: eng
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si15.svg"
  display="inline" id="d1e25"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math>
  blow-up in the Jordan–Moore–Gibson–Thompson equation
type: journal_article
user_id: '31496'
volume: 247
year: '2024'
...
---
_id: '57820'
article_number: '113600'
author:
- first_name: Vanja
  full_name: Nikolić, Vanja
  last_name: Nikolić
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Nikolić V, Winkler M. L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation.
    <i>Nonlinear Analysis</i>. 2024;247. doi:<a href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>
  apa: Nikolić, V., &#38; Winkler, M. (2024). L∞ blow-up in the Jordan-Moore-Gibson-Thompson
    equation. <i>Nonlinear Analysis</i>, <i>247</i>, Article 113600. <a href="https://doi.org/10.1016/j.na.2024.113600">https://doi.org/10.1016/j.na.2024.113600</a>
  bibtex: '@article{Nikolić_Winkler_2024, title={L∞ blow-up in the Jordan-Moore-Gibson-Thompson
    equation}, volume={247}, DOI={<a href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>},
    number={113600}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Nikolić,
    Vanja and Winkler, Michael}, year={2024} }'
  chicago: Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson
    Equation.” <i>Nonlinear Analysis</i> 247 (2024). <a href="https://doi.org/10.1016/j.na.2024.113600">https://doi.org/10.1016/j.na.2024.113600</a>.
  ieee: 'V. Nikolić and M. Winkler, “L∞ blow-up in the Jordan-Moore-Gibson-Thompson
    equation,” <i>Nonlinear Analysis</i>, vol. 247, Art. no. 113600, 2024, doi: <a
    href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>.'
  mla: Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson
    Equation.” <i>Nonlinear Analysis</i>, vol. 247, 113600, Elsevier BV, 2024, doi:<a
    href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>.
  short: V. Nikolić, M. Winkler, Nonlinear Analysis 247 (2024).
date_created: 2024-12-18T07:13:19Z
date_updated: 2026-01-05T08:02:36Z
department:
- _id: '90'
doi: 10.1016/j.na.2024.113600
intvolume: '       247'
language:
- iso: eng
project:
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation
type: journal_article
user_id: '11829'
volume: 247
year: '2024'
...
---
_id: '53325'
article_number: '113153'
author:
- first_name: Laurent
  full_name: Desvillettes, Laurent
  last_name: Desvillettes
- first_name: Philippe
  full_name: Laurençot, Philippe
  last_name: Laurençot
- first_name: Ariane
  full_name: Trescases, Ariane
  last_name: Trescases
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular
    cross diffusion systems modeling chemotaxis with local sensing. <i>Nonlinear Analysis</i>.
    2022;226. doi:<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>
  apa: Desvillettes, L., Laurençot, P., Trescases, A., &#38; Winkler, M. (2022). Weak
    solutions to triangular cross diffusion systems modeling chemotaxis with local
    sensing. <i>Nonlinear Analysis</i>, <i>226</i>, Article 113153. <a href="https://doi.org/10.1016/j.na.2022.113153">https://doi.org/10.1016/j.na.2022.113153</a>
  bibtex: '@article{Desvillettes_Laurençot_Trescases_Winkler_2022, title={Weak solutions
    to triangular cross diffusion systems modeling chemotaxis with local sensing},
    volume={226}, DOI={<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>},
    number={113153}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Desvillettes,
    Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}, year={2022}
    }'
  chicago: Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael
    Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis
    with Local Sensing.” <i>Nonlinear Analysis</i> 226 (2022). <a href="https://doi.org/10.1016/j.na.2022.113153">https://doi.org/10.1016/j.na.2022.113153</a>.
  ieee: 'L. Desvillettes, P. Laurençot, A. Trescases, and M. Winkler, “Weak solutions
    to triangular cross diffusion systems modeling chemotaxis with local sensing,”
    <i>Nonlinear Analysis</i>, vol. 226, Art. no. 113153, 2022, doi: <a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>.'
  mla: Desvillettes, Laurent, et al. “Weak Solutions to Triangular Cross Diffusion
    Systems Modeling Chemotaxis with Local Sensing.” <i>Nonlinear Analysis</i>, vol.
    226, 113153, Elsevier BV, 2022, doi:<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>.
  short: L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis
    226 (2022).
date_created: 2024-04-07T12:41:15Z
date_updated: 2024-04-07T12:41:20Z
doi: 10.1016/j.na.2022.113153
intvolume: '       226'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: Weak solutions to triangular cross diffusion systems modeling chemotaxis with
  local sensing
type: journal_article
user_id: '31496'
volume: 226
year: '2022'
...
---
_id: '63268'
article_number: '113153'
author:
- first_name: Laurent
  full_name: Desvillettes, Laurent
  last_name: Desvillettes
- first_name: Philippe
  full_name: Laurençot, Philippe
  last_name: Laurençot
- first_name: Ariane
  full_name: Trescases, Ariane
  last_name: Trescases
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular
    cross diffusion systems modeling chemotaxis with local sensing. <i>Nonlinear Analysis</i>.
    2022;226. doi:<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>
  apa: Desvillettes, L., Laurençot, P., Trescases, A., &#38; Winkler, M. (2022). Weak
    solutions to triangular cross diffusion systems modeling chemotaxis with local
    sensing. <i>Nonlinear Analysis</i>, <i>226</i>, Article 113153. <a href="https://doi.org/10.1016/j.na.2022.113153">https://doi.org/10.1016/j.na.2022.113153</a>
  bibtex: '@article{Desvillettes_Laurençot_Trescases_Winkler_2022, title={Weak solutions
    to triangular cross diffusion systems modeling chemotaxis with local sensing},
    volume={226}, DOI={<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>},
    number={113153}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Desvillettes,
    Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}, year={2022}
    }'
  chicago: Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael
    Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis
    with Local Sensing.” <i>Nonlinear Analysis</i> 226 (2022). <a href="https://doi.org/10.1016/j.na.2022.113153">https://doi.org/10.1016/j.na.2022.113153</a>.
  ieee: 'L. Desvillettes, P. Laurençot, A. Trescases, and M. Winkler, “Weak solutions
    to triangular cross diffusion systems modeling chemotaxis with local sensing,”
    <i>Nonlinear Analysis</i>, vol. 226, Art. no. 113153, 2022, doi: <a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>.'
  mla: Desvillettes, Laurent, et al. “Weak Solutions to Triangular Cross Diffusion
    Systems Modeling Chemotaxis with Local Sensing.” <i>Nonlinear Analysis</i>, vol.
    226, 113153, Elsevier BV, 2022, doi:<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>.
  short: L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis
    226 (2022).
date_created: 2025-12-18T19:11:16Z
date_updated: 2025-12-18T20:10:32Z
doi: 10.1016/j.na.2022.113153
intvolume: '       226'
language:
- iso: eng
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: Weak solutions to triangular cross diffusion systems modeling chemotaxis with
  local sensing
type: journal_article
user_id: '31496'
volume: 226
year: '2022'
...
---
_id: '63319'
article_number: '112324'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. The dampening role of large repulsive convection in a chemotaxis
    system modeling tumor angiogenesis. <i>Nonlinear Analysis</i>. 2021;208. doi:<a
    href="https://doi.org/10.1016/j.na.2021.112324">10.1016/j.na.2021.112324</a>
  apa: Tao, Y., &#38; Winkler, M. (2021). The dampening role of large repulsive convection
    in a chemotaxis system modeling tumor angiogenesis. <i>Nonlinear Analysis</i>,
    <i>208</i>, Article 112324. <a href="https://doi.org/10.1016/j.na.2021.112324">https://doi.org/10.1016/j.na.2021.112324</a>
  bibtex: '@article{Tao_Winkler_2021, title={The dampening role of large repulsive
    convection in a chemotaxis system modeling tumor angiogenesis}, volume={208},
    DOI={<a href="https://doi.org/10.1016/j.na.2021.112324">10.1016/j.na.2021.112324</a>},
    number={112324}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Tao,
    Youshan and Winkler, Michael}, year={2021} }'
  chicago: Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive
    Convection in a Chemotaxis System Modeling Tumor Angiogenesis.” <i>Nonlinear Analysis</i>
    208 (2021). <a href="https://doi.org/10.1016/j.na.2021.112324">https://doi.org/10.1016/j.na.2021.112324</a>.
  ieee: 'Y. Tao and M. Winkler, “The dampening role of large repulsive convection
    in a chemotaxis system modeling tumor angiogenesis,” <i>Nonlinear Analysis</i>,
    vol. 208, Art. no. 112324, 2021, doi: <a href="https://doi.org/10.1016/j.na.2021.112324">10.1016/j.na.2021.112324</a>.'
  mla: Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive Convection
    in a Chemotaxis System Modeling Tumor Angiogenesis.” <i>Nonlinear Analysis</i>,
    vol. 208, 112324, Elsevier BV, 2021, doi:<a href="https://doi.org/10.1016/j.na.2021.112324">10.1016/j.na.2021.112324</a>.
  short: Y. Tao, M. Winkler, Nonlinear Analysis 208 (2021).
date_created: 2025-12-18T19:33:25Z
date_updated: 2025-12-18T20:06:43Z
doi: 10.1016/j.na.2021.112324
intvolume: '       208'
language:
- iso: eng
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: The dampening role of large repulsive convection in a chemotaxis system modeling
  tumor angiogenesis
type: journal_article
user_id: '31496'
volume: 208
year: '2021'
...
---
_id: '63333'
article_number: '111870'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Tao Y, Winkler M. A critical virus production rate for blow-up suppression
    in a haptotaxis model for oncolytic virotherapy. <i>Nonlinear Analysis</i>. 2020;198.
    doi:<a href="https://doi.org/10.1016/j.na.2020.111870">10.1016/j.na.2020.111870</a>
  apa: Tao, Y., &#38; Winkler, M. (2020). A critical virus production rate for blow-up
    suppression in a haptotaxis model for oncolytic virotherapy. <i>Nonlinear Analysis</i>,
    <i>198</i>, Article 111870. <a href="https://doi.org/10.1016/j.na.2020.111870">https://doi.org/10.1016/j.na.2020.111870</a>
  bibtex: '@article{Tao_Winkler_2020, title={A critical virus production rate for
    blow-up suppression in a haptotaxis model for oncolytic virotherapy}, volume={198},
    DOI={<a href="https://doi.org/10.1016/j.na.2020.111870">10.1016/j.na.2020.111870</a>},
    number={111870}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Tao,
    Youshan and Winkler, Michael}, year={2020} }'
  chicago: Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for
    Blow-up Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” <i>Nonlinear
    Analysis</i> 198 (2020). <a href="https://doi.org/10.1016/j.na.2020.111870">https://doi.org/10.1016/j.na.2020.111870</a>.
  ieee: 'Y. Tao and M. Winkler, “A critical virus production rate for blow-up suppression
    in a haptotaxis model for oncolytic virotherapy,” <i>Nonlinear Analysis</i>, vol.
    198, Art. no. 111870, 2020, doi: <a href="https://doi.org/10.1016/j.na.2020.111870">10.1016/j.na.2020.111870</a>.'
  mla: Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for Blow-up
    Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” <i>Nonlinear Analysis</i>,
    vol. 198, 111870, Elsevier BV, 2020, doi:<a href="https://doi.org/10.1016/j.na.2020.111870">10.1016/j.na.2020.111870</a>.
  short: Y. Tao, M. Winkler, Nonlinear Analysis 198 (2020).
date_created: 2025-12-18T19:39:40Z
date_updated: 2025-12-18T20:01:18Z
doi: 10.1016/j.na.2020.111870
intvolume: '       198'
language:
- iso: eng
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: A critical virus production rate for blow-up suppression in a haptotaxis model
  for oncolytic virotherapy
type: journal_article
user_id: '31496'
volume: 198
year: '2020'
...
---
_id: '63366'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Instantaneous regularization of distributions from&#60;mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"
    id="d1e19" altimg="si17.gif"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;C&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;0&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;⋆&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;×&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;in
    the one-dimensional parabolic Keller–Segel system. <i>Nonlinear Analysis</i>.
    2019;183:102-116. doi:<a href="https://doi.org/10.1016/j.na.2019.01.017">10.1016/j.na.2019.01.017</a>
  apa: Winkler, M. (2019). Instantaneous regularization of distributions from&#60;mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"
    id="d1e19" altimg="si17.gif"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;C&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;0&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;⋆&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;×&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;in
    the one-dimensional parabolic Keller–Segel system. <i>Nonlinear Analysis</i>,
    <i>183</i>, 102–116. <a href="https://doi.org/10.1016/j.na.2019.01.017">https://doi.org/10.1016/j.na.2019.01.017</a>
  bibtex: '@article{Winkler_2019, title={Instantaneous regularization of distributions
    from&#60;mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"
    overflow="scroll" id="d1e19" altimg="si17.gif"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;C&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;0&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;⋆&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;×&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;in
    the one-dimensional parabolic Keller–Segel system}, volume={183}, DOI={<a href="https://doi.org/10.1016/j.na.2019.01.017">10.1016/j.na.2019.01.017</a>},
    journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Winkler, Michael},
    year={2019}, pages={102–116} }'
  chicago: 'Winkler, Michael. “Instantaneous Regularization of Distributions From&#60;mml:Math
    Xmlns:Mml="http://Www.W3.Org/1998/Math/MathML" Display="inline" Overflow="scroll"
    Id="d1e19" Altimg="si17.Gif"&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mo&#62;(&#60;/Mml:Mo&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;C&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;0&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;mml:Mo&#62;)&#60;/Mml:Mo&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mo&#62;⋆&#60;/Mml:Mo&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;mml:Mo&#62;×&#60;/Mml:Mo&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;L&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;2&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;/Mml:Math&#62;in
    the One-Dimensional Parabolic Keller–Segel System.” <i>Nonlinear Analysis</i>
    183 (2019): 102–16. <a href="https://doi.org/10.1016/j.na.2019.01.017">https://doi.org/10.1016/j.na.2019.01.017</a>.'
  ieee: 'M. Winkler, “Instantaneous regularization of distributions from&#60;mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"
    id="d1e19" altimg="si17.gif"&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;(&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;C&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;0&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;)&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mo&#62;⋆&#60;/mml:mo&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;mml:mo&#62;×&#60;/mml:mo&#62;&#60;mml:msup&#62;&#60;mml:mrow&#62;&#60;mml:mi&#62;L&#60;/mml:mi&#62;&#60;/mml:mrow&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msup&#62;&#60;/mml:math&#62;in
    the one-dimensional parabolic Keller–Segel system,” <i>Nonlinear Analysis</i>,
    vol. 183, pp. 102–116, 2019, doi: <a href="https://doi.org/10.1016/j.na.2019.01.017">10.1016/j.na.2019.01.017</a>.'
  mla: Winkler, Michael. “Instantaneous Regularization of Distributions From&#60;mml:Math
    Xmlns:Mml="http://Www.W3.Org/1998/Math/MathML" Display="inline" Overflow="scroll"
    Id="d1e19" Altimg="si17.Gif"&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mo&#62;(&#60;/Mml:Mo&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;C&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;0&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;mml:Mo&#62;)&#60;/Mml:Mo&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mo&#62;⋆&#60;/Mml:Mo&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;mml:Mo&#62;×&#60;/Mml:Mo&#62;&#60;mml:Msup&#62;&#60;mml:Mrow&#62;&#60;mml:Mi&#62;L&#60;/Mml:Mi&#62;&#60;/Mml:Mrow&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;2&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msup&#62;&#60;/Mml:Math&#62;in
    the One-Dimensional Parabolic Keller–Segel System.” <i>Nonlinear Analysis</i>,
    vol. 183, Elsevier BV, 2019, pp. 102–16, doi:<a href="https://doi.org/10.1016/j.na.2019.01.017">10.1016/j.na.2019.01.017</a>.
  short: M. Winkler, Nonlinear Analysis 183 (2019) 102–116.
date_created: 2025-12-19T11:01:12Z
date_updated: 2025-12-19T11:01:21Z
doi: 10.1016/j.na.2019.01.017
intvolume: '       183'
language:
- iso: eng
page: 102-116
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: Instantaneous regularization of distributions from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
  display="inline" overflow="scroll" id="d1e19" altimg="si17.gif"><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>⋆</mml:mo></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>in
  the one-dimensional parabolic Keller–Segel system
type: journal_article
user_id: '31496'
volume: 183
year: '2019'
...
---
_id: '34667'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Global solvability of chemotaxis–fluid systems with nonlinear diffusion
    and matrix-valued sensitivities in three dimensions. <i>Nonlinear Analysis</i>.
    2018;180:129-153. doi:<a href="https://doi.org/10.1016/j.na.2018.10.003">10.1016/j.na.2018.10.003</a>
  apa: Black, T. (2018). Global solvability of chemotaxis–fluid systems with nonlinear
    diffusion and matrix-valued sensitivities in three dimensions. <i>Nonlinear Analysis</i>,
    <i>180</i>, 129–153. <a href="https://doi.org/10.1016/j.na.2018.10.003">https://doi.org/10.1016/j.na.2018.10.003</a>
  bibtex: '@article{Black_2018, title={Global solvability of chemotaxis–fluid systems
    with nonlinear diffusion and matrix-valued sensitivities in three dimensions},
    volume={180}, DOI={<a href="https://doi.org/10.1016/j.na.2018.10.003">10.1016/j.na.2018.10.003</a>},
    journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Black, Tobias},
    year={2018}, pages={129–153} }'
  chicago: 'Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear
    Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” <i>Nonlinear Analysis</i>
    180 (2018): 129–53. <a href="https://doi.org/10.1016/j.na.2018.10.003">https://doi.org/10.1016/j.na.2018.10.003</a>.'
  ieee: 'T. Black, “Global solvability of chemotaxis–fluid systems with nonlinear
    diffusion and matrix-valued sensitivities in three dimensions,” <i>Nonlinear Analysis</i>,
    vol. 180, pp. 129–153, 2018, doi: <a href="https://doi.org/10.1016/j.na.2018.10.003">10.1016/j.na.2018.10.003</a>.'
  mla: Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear
    Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” <i>Nonlinear Analysis</i>,
    vol. 180, Elsevier BV, 2018, pp. 129–53, doi:<a href="https://doi.org/10.1016/j.na.2018.10.003">10.1016/j.na.2018.10.003</a>.
  short: T. Black, Nonlinear Analysis 180 (2018) 129–153.
date_created: 2022-12-21T09:47:30Z
date_updated: 2022-12-21T10:05:04Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.na.2018.10.003
intvolume: '       180'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 129-153
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: Global solvability of chemotaxis–fluid systems with nonlinear diffusion and
  matrix-valued sensitivities in three dimensions
type: journal_article
user_id: '23686'
volume: 180
year: '2018'
...
---
_id: '63382'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
- first_name: Tomomi
  full_name: Yokota, Tomomi
  last_name: Yokota
citation:
  ama: Winkler M, Yokota T. Stabilization in the logarithmic Keller–Segel system.
    <i>Nonlinear Analysis</i>. 2018;170:123-141. doi:<a href="https://doi.org/10.1016/j.na.2018.01.002">10.1016/j.na.2018.01.002</a>
  apa: Winkler, M., &#38; Yokota, T. (2018). Stabilization in the logarithmic Keller–Segel
    system. <i>Nonlinear Analysis</i>, <i>170</i>, 123–141. <a href="https://doi.org/10.1016/j.na.2018.01.002">https://doi.org/10.1016/j.na.2018.01.002</a>
  bibtex: '@article{Winkler_Yokota_2018, title={Stabilization in the logarithmic Keller–Segel
    system}, volume={170}, DOI={<a href="https://doi.org/10.1016/j.na.2018.01.002">10.1016/j.na.2018.01.002</a>},
    journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Winkler, Michael
    and Yokota, Tomomi}, year={2018}, pages={123–141} }'
  chicago: 'Winkler, Michael, and Tomomi Yokota. “Stabilization in the Logarithmic
    Keller–Segel System.” <i>Nonlinear Analysis</i> 170 (2018): 123–41. <a href="https://doi.org/10.1016/j.na.2018.01.002">https://doi.org/10.1016/j.na.2018.01.002</a>.'
  ieee: 'M. Winkler and T. Yokota, “Stabilization in the logarithmic Keller–Segel
    system,” <i>Nonlinear Analysis</i>, vol. 170, pp. 123–141, 2018, doi: <a href="https://doi.org/10.1016/j.na.2018.01.002">10.1016/j.na.2018.01.002</a>.'
  mla: Winkler, Michael, and Tomomi Yokota. “Stabilization in the Logarithmic Keller–Segel
    System.” <i>Nonlinear Analysis</i>, vol. 170, Elsevier BV, 2018, pp. 123–41, doi:<a
    href="https://doi.org/10.1016/j.na.2018.01.002">10.1016/j.na.2018.01.002</a>.
  short: M. Winkler, T. Yokota, Nonlinear Analysis 170 (2018) 123–141.
date_created: 2025-12-19T11:09:11Z
date_updated: 2025-12-19T11:09:19Z
doi: 10.1016/j.na.2018.01.002
intvolume: '       170'
language:
- iso: eng
page: 123-141
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: Stabilization in the logarithmic Keller–Segel system
type: journal_article
user_id: '31496'
volume: 170
year: '2018'
...