---
_id: '63270'
author:
- first_name: Genglin
  full_name: Li, Genglin
  last_name: Li
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Li G, Winkler M. Relaxation in a Keller-Segel-consumption system involving
    signal-dependent motilities. <i>Communications in Mathematical Sciences</i>. 2023;21(2):299-322.
    doi:<a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">10.4310/cms.2023.v21.n2.a1</a>
  apa: Li, G., &#38; Winkler, M. (2023). Relaxation in a Keller-Segel-consumption
    system involving signal-dependent motilities. <i>Communications in Mathematical
    Sciences</i>, <i>21</i>(2), 299–322. <a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">https://doi.org/10.4310/cms.2023.v21.n2.a1</a>
  bibtex: '@article{Li_Winkler_2023, title={Relaxation in a Keller-Segel-consumption
    system involving signal-dependent motilities}, volume={21}, DOI={<a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">10.4310/cms.2023.v21.n2.a1</a>},
    number={2}, journal={Communications in Mathematical Sciences}, publisher={International
    Press of Boston}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={299–322}
    }'
  chicago: 'Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption
    System Involving Signal-Dependent Motilities.” <i>Communications in Mathematical
    Sciences</i> 21, no. 2 (2023): 299–322. <a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">https://doi.org/10.4310/cms.2023.v21.n2.a1</a>.'
  ieee: 'G. Li and M. Winkler, “Relaxation in a Keller-Segel-consumption system involving
    signal-dependent motilities,” <i>Communications in Mathematical Sciences</i>,
    vol. 21, no. 2, pp. 299–322, 2023, doi: <a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">10.4310/cms.2023.v21.n2.a1</a>.'
  mla: Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption
    System Involving Signal-Dependent Motilities.” <i>Communications in Mathematical
    Sciences</i>, vol. 21, no. 2, International Press of Boston, 2023, pp. 299–322,
    doi:<a href="https://doi.org/10.4310/cms.2023.v21.n2.a1">10.4310/cms.2023.v21.n2.a1</a>.
  short: G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322.
date_created: 2025-12-18T19:12:01Z
date_updated: 2025-12-18T20:10:48Z
doi: 10.4310/cms.2023.v21.n2.a1
intvolume: '        21'
issue: '2'
language:
- iso: eng
page: 299-322
publication: Communications in Mathematical Sciences
publication_identifier:
  issn:
  - 1539-6746
  - 1945-0796
publication_status: published
publisher: International Press of Boston
status: public
title: Relaxation in a Keller-Segel-consumption system involving signal-dependent
  motilities
type: journal_article
user_id: '31496'
volume: 21
year: '2023'
...
---
_id: '63273'
article_number: '103820'
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. Analysis of a chemotaxis-SIS epidemic model with unbounded
    infection force. <i>Nonlinear Analysis: Real World Applications</i>. 2023;71.
    doi:<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>'
  apa: 'Tao, Y., &#38; Winkler, M. (2023). Analysis of a chemotaxis-SIS epidemic model
    with unbounded infection force. <i>Nonlinear Analysis: Real World Applications</i>,
    <i>71</i>, Article 103820. <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">https://doi.org/10.1016/j.nonrwa.2022.103820</a>'
  bibtex: '@article{Tao_Winkler_2023, title={Analysis of a chemotaxis-SIS epidemic
    model with unbounded infection force}, volume={71}, DOI={<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>},
    number={103820}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
    BV}, author={Tao, Youshan and Winkler, Michael}, year={2023} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic
    Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i>
    71 (2023). <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">https://doi.org/10.1016/j.nonrwa.2022.103820</a>.'
  ieee: 'Y. Tao and M. Winkler, “Analysis of a chemotaxis-SIS epidemic model with
    unbounded infection force,” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 71, Art. no. 103820, 2023, doi: <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>.'
  mla: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic
    Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 71, 103820, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>.'
  short: 'Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).'
date_created: 2025-12-18T19:13:40Z
date_updated: 2025-12-18T20:11:09Z
doi: 10.1016/j.nonrwa.2022.103820
intvolume: '        71'
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
  issn:
  - 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Analysis of a chemotaxis-SIS epidemic model with unbounded infection force
type: journal_article
user_id: '31496'
volume: 71
year: '2023'
...
---
_id: '63281'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>A no-flux initial-boundary value
    problem for<jats:disp-formula id="nonace22eueqn1"><jats:tex-math/><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
    display="block" overflow="scroll"><mml:mtable columnalign="right left right left
    right left right left right left right left" columnspacing="0.2777777777777778em
    2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em
    0.2777777777777778em 2em 0.2777777777777778em" rowspacing="3pt"><mml:mtr><mml:mtd><mml:mfenced
    close="" open="{"><mml:mtable columnalign="left left" columnspacing="1em" rowspacing=".1em"><mml:mtr><mml:mtd><mml:msub><mml:mi>u</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi
    mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mo maxsize="1.2em" minsize="1.2em">(</mml:mo></mml:mrow><mml:mi>u</mml:mi><mml:mi>ϕ</mml:mi><mml:mo
    stretchy="false">(</mml:mo><mml:mi>v</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mo
    maxsize="1.2em" minsize="1.2em">)</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mi>v</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi
    mathvariant="normal">Δ</mml:mi><mml:mi>v</mml:mi><mml:mo>−</mml:mo><mml:mi>u</mml:mi><mml:mi>v</mml:mi><mml:mo>,</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mo
    stretchy="false">(</mml:mo><mml:mo>⋆</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math><jats:graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" orientation="portrait" position="float"
    xlink:href="nonace22eueqn1.gif" xlink:type="simple"/></jats:disp-formula>is considered
    in smoothly bounded subdomains of<jats:inline-formula><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mrow><mml:mi
    mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:msup></mml:math><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn1.gif" xlink:type="simple"/></jats:inline-formula>with<jats:inline-formula><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>n</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn2.gif" xlink:type="simple"/></jats:inline-formula>and
    suitably regular initial data, where<jats:italic>φ</jats:italic>is assumed to
    reflect algebraic type cross-degeneracies by sharing essential features with<jats:inline-formula><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mn>0</mml:mn><mml:mo>⩽</mml:mo><mml:mi>ξ</mml:mi><mml:mo
    stretchy="false">↦</mml:mo><mml:msup><mml:mi>ξ</mml:mi><mml:mi>α</mml:mi></mml:msup></mml:math><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn3.gif" xlink:type="simple"/></jats:inline-formula>for
    some<jats:inline-formula><jats:tex-math/><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
    overflow="scroll"><mml:mi>α</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn4.gif" xlink:type="simple"/></jats:inline-formula>.
    Based on the discovery of a gradient structure acting at regularity levels mild
    enough to be consistent with degeneracy-driven limitations of smoothness information,
    in this general setting it is shown that with some measurable limit profile<jats:inline-formula><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msub><mml:mi>u</mml:mi><mml:mi
    mathvariant="normal">∞</mml:mi></mml:msub></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    xlink:href="nonace22eieqn5.gif" xlink:type="simple"/></jats:inline-formula>and
    some null set<jats:inline-formula><jats:tex-math/><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
    overflow="scroll"><mml:msub><mml:mi>N</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>⊂</mml:mo><mml:mo
    stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">∞</mml:mi><mml:mo
    stretchy="false">)</mml:mo></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    xlink:href="nonace22eieqn6.gif" xlink:type="simple"/></jats:inline-formula>, a
    corresponding global generalized solution, known to exist according to recent
    literature, satisfies<jats:disp-formula id="nonace22eueqn2"><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" display="block" overflow="scroll"><mml:mtable
    columnalign="right left right left right left right left right left right left"
    columnspacing="0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em
    2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em" rowspacing="3pt"><mml:mtr><mml:mtd><mml:mi>ρ</mml:mi><mml:mo
    stretchy="false">(</mml:mo><mml:mi>u</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo
    stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mover><mml:mrow><mml:mo
    stretchy="false">⇀</mml:mo></mml:mrow><mml:mrow><mml:mo>⋆</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mi>ρ</mml:mi><mml:mo
    stretchy="false">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo
    stretchy="false">)</mml:mo><mml:mrow><mml:mtext>in </mml:mtext></mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi
    mathvariant="normal">∞</mml:mi></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi
    mathvariant="normal">Ω</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mtext> and </mml:mtext></mml:mrow><mml:mi>v</mml:mi><mml:mo
    stretchy="false">(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo
    stretchy="false">)</mml:mo><mml:mo stretchy="false">→</mml:mo><mml:mn>0</mml:mn><mml:mrow><mml:mtext>in </mml:mtext></mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup><mml:mo
    stretchy="false">(</mml:mo><mml:mi mathvariant="normal">Ω</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mtext>for
    all </mml:mtext></mml:mrow><mml:mi>p</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math><jats:graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" orientation="portrait" position="float"
    xlink:href="nonace22eueqn2.gif" xlink:type="simple"/></jats:disp-formula>as<jats:inline-formula><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi
    mathvariant="normal">∞</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>∖</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>∋</mml:mo><mml:mi>t</mml:mi><mml:mo
    stretchy="false">→</mml:mo><mml:mi mathvariant="normal">∞</mml:mi></mml:math><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn7.gif" xlink:type="simple"/></jats:inline-formula>,
    where<jats:inline-formula><jats:tex-math/><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
    overflow="scroll"><mml:mi>ρ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>ξ</mml:mi><mml:mo
    stretchy="false">)</mml:mo><mml:mo>:=</mml:mo><mml:mfrac><mml:msup><mml:mi>ξ</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mo
    stretchy="false">(</mml:mo><mml:mi>ξ</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mrow><mml:msup><mml:mo
    stretchy="false">)</mml:mo><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:math><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn8.gif" xlink:type="simple"/></jats:inline-formula>,<jats:inline-formula><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>ξ</mml:mi><mml:mo>⩾</mml:mo><mml:mn>0</mml:mn></mml:math><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn9.gif" xlink:type="simple"/></jats:inline-formula>.
    In the particular case when either<jats:inline-formula><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>n</mml:mi><mml:mo>⩽</mml:mo><mml:mn>2</mml:mn></mml:math><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn10.gif" xlink:type="simple"/></jats:inline-formula>and<jats:inline-formula><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>α</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn11.gif" xlink:type="simple"/></jats:inline-formula>is
    arbitrary, or<jats:inline-formula><jats:tex-math/><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
    overflow="scroll"><mml:mi>n</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="nonace22eieqn12.gif" xlink:type="simple"/></jats:inline-formula>and<jats:inline-formula><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>α</mml:mi><mml:mo>∈</mml:mo><mml:mo
    stretchy="false">[</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo
    stretchy="false">]</mml:mo></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    xlink:href="nonace22eieqn13.gif" xlink:type="simple"/></jats:inline-formula>,
    additional quantitative information on the deviation of trajectories from the
    initial data is derived. This is found to imply a lower estimate for the spatial
    oscillation of the respective first components throughout evolution, and moreover
    this is seen to entail that each of the uncountably many steady states<jats:inline-formula><jats:tex-math/><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo
    stretchy="false">)</mml:mo></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    xlink:href="nonace22eieqn14.gif" xlink:type="simple"/></jats:inline-formula>of
    (<jats:inline-formula><jats:tex-math/><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"
    overflow="scroll"><mml:mo>⋆</mml:mo></mml:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    xlink:href="nonace22eieqn15.gif" xlink:type="simple"/></jats:inline-formula>)
    is stable with respect to a suitably chosen norm topology.</jats:p>
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Stabilization despite pervasive strong cross-degeneracies in a nonlinear
    diffusion model for migration–consumption interaction. <i>Nonlinearity</i>. 2023;36(8):4438-4469.
    doi:<a href="https://doi.org/10.1088/1361-6544/ace22e">10.1088/1361-6544/ace22e</a>
  apa: Winkler, M. (2023). Stabilization despite pervasive strong cross-degeneracies
    in a nonlinear diffusion model for migration–consumption interaction. <i>Nonlinearity</i>,
    <i>36</i>(8), 4438–4469. <a href="https://doi.org/10.1088/1361-6544/ace22e">https://doi.org/10.1088/1361-6544/ace22e</a>
  bibtex: '@article{Winkler_2023, title={Stabilization despite pervasive strong cross-degeneracies
    in a nonlinear diffusion model for migration–consumption interaction}, volume={36},
    DOI={<a href="https://doi.org/10.1088/1361-6544/ace22e">10.1088/1361-6544/ace22e</a>},
    number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler,
    Michael}, year={2023}, pages={4438–4469} }'
  chicago: 'Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies
    in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” <i>Nonlinearity</i>
    36, no. 8 (2023): 4438–69. <a href="https://doi.org/10.1088/1361-6544/ace22e">https://doi.org/10.1088/1361-6544/ace22e</a>.'
  ieee: 'M. Winkler, “Stabilization despite pervasive strong cross-degeneracies in
    a nonlinear diffusion model for migration–consumption interaction,” <i>Nonlinearity</i>,
    vol. 36, no. 8, pp. 4438–4469, 2023, doi: <a href="https://doi.org/10.1088/1361-6544/ace22e">10.1088/1361-6544/ace22e</a>.'
  mla: Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies
    in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” <i>Nonlinearity</i>,
    vol. 36, no. 8, IOP Publishing, 2023, pp. 4438–69, doi:<a href="https://doi.org/10.1088/1361-6544/ace22e">10.1088/1361-6544/ace22e</a>.
  short: M. Winkler, Nonlinearity 36 (2023) 4438–4469.
date_created: 2025-12-18T19:17:01Z
date_updated: 2025-12-18T20:12:06Z
doi: 10.1088/1361-6544/ace22e
intvolume: '        36'
issue: '8'
language:
- iso: eng
page: 4438-4469
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion
  model for migration–consumption interaction
type: journal_article
user_id: '31496'
volume: 36
year: '2023'
...
---
_id: '63276'
abstract:
- lang: eng
  text: "<jats:p>The chemotaxis‐Stokes system \r\n<jats:disp-formula>\r\n\r\n</jats:disp-formula>is
    considered along with homogeneous boundary conditions of no‐flux type for \r\n
    and \r\n, and of Dirichlet type for \r\n, in a smoothly bounded domain \r\n. Under
    the assumption that \r\n, that \r\n is bounded on each of the intervals \r\n with
    arbitrary \r\n, and that with some \r\n and \r\n, we have \r\n<jats:disp-formula>\r\n\r\n</jats:disp-formula>It
    is shown that for any suitably regular initial data, an associated initial‐boundary
    value problem admits a global very weak solution.</jats:p>"
author:
- first_name: Yu
  full_name: Tian, Yu
  last_name: Tian
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Tian Y, Winkler M. Keller–Segel–Stokes interaction involving signal‐dependent
    motilities. <i>Mathematical Methods in the Applied Sciences</i>. 2023;46(14):15667-15683.
    doi:<a href="https://doi.org/10.1002/mma.9419">10.1002/mma.9419</a>
  apa: Tian, Y., &#38; Winkler, M. (2023). Keller–Segel–Stokes interaction involving
    signal‐dependent motilities. <i>Mathematical Methods in the Applied Sciences</i>,
    <i>46</i>(14), 15667–15683. <a href="https://doi.org/10.1002/mma.9419">https://doi.org/10.1002/mma.9419</a>
  bibtex: '@article{Tian_Winkler_2023, title={Keller–Segel–Stokes interaction involving
    signal‐dependent motilities}, volume={46}, DOI={<a href="https://doi.org/10.1002/mma.9419">10.1002/mma.9419</a>},
    number={14}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley},
    author={Tian, Yu and Winkler, Michael}, year={2023}, pages={15667–15683} }'
  chicago: 'Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving
    Signal‐dependent Motilities.” <i>Mathematical Methods in the Applied Sciences</i>
    46, no. 14 (2023): 15667–83. <a href="https://doi.org/10.1002/mma.9419">https://doi.org/10.1002/mma.9419</a>.'
  ieee: 'Y. Tian and M. Winkler, “Keller–Segel–Stokes interaction involving signal‐dependent
    motilities,” <i>Mathematical Methods in the Applied Sciences</i>, vol. 46, no.
    14, pp. 15667–15683, 2023, doi: <a href="https://doi.org/10.1002/mma.9419">10.1002/mma.9419</a>.'
  mla: Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent
    Motilities.” <i>Mathematical Methods in the Applied Sciences</i>, vol. 46, no.
    14, Wiley, 2023, pp. 15667–83, doi:<a href="https://doi.org/10.1002/mma.9419">10.1002/mma.9419</a>.
  short: Y. Tian, M. Winkler, Mathematical Methods in the Applied Sciences 46 (2023)
    15667–15683.
date_created: 2025-12-18T19:15:06Z
date_updated: 2025-12-18T20:11:29Z
doi: 10.1002/mma.9419
intvolume: '        46'
issue: '14'
language:
- iso: eng
page: 15667-15683
publication: Mathematical Methods in the Applied Sciences
publication_identifier:
  issn:
  - 0170-4214
  - 1099-1476
publication_status: published
publisher: Wiley
status: public
title: Keller–Segel–Stokes interaction involving signal‐dependent motilities
type: journal_article
user_id: '31496'
volume: 46
year: '2023'
...
---
_id: '63275'
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. Global smooth solutions in a three-dimensional cross-diffusive
    SIS epidemic model with saturated taxis at large densities. <i>Evolution Equations
    and Control Theory</i>. 2023;12(6):1676-1687. doi:<a href="https://doi.org/10.3934/eect.2023031">10.3934/eect.2023031</a>
  apa: Tao, Y., &#38; Winkler, M. (2023). Global smooth solutions in a three-dimensional
    cross-diffusive SIS epidemic model with saturated taxis at large densities. <i>Evolution
    Equations and Control Theory</i>, <i>12</i>(6), 1676–1687. <a href="https://doi.org/10.3934/eect.2023031">https://doi.org/10.3934/eect.2023031</a>
  bibtex: '@article{Tao_Winkler_2023, title={Global smooth solutions in a three-dimensional
    cross-diffusive SIS epidemic model with saturated taxis at large densities}, volume={12},
    DOI={<a href="https://doi.org/10.3934/eect.2023031">10.3934/eect.2023031</a>},
    number={6}, journal={Evolution Equations and Control Theory}, publisher={American
    Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler,
    Michael}, year={2023}, pages={1676–1687} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional
    Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” <i>Evolution
    Equations and Control Theory</i> 12, no. 6 (2023): 1676–87. <a href="https://doi.org/10.3934/eect.2023031">https://doi.org/10.3934/eect.2023031</a>.'
  ieee: 'Y. Tao and M. Winkler, “Global smooth solutions in a three-dimensional cross-diffusive
    SIS epidemic model with saturated taxis at large densities,” <i>Evolution Equations
    and Control Theory</i>, vol. 12, no. 6, pp. 1676–1687, 2023, doi: <a href="https://doi.org/10.3934/eect.2023031">10.3934/eect.2023031</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional
    Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” <i>Evolution
    Equations and Control Theory</i>, vol. 12, no. 6, American Institute of Mathematical
    Sciences (AIMS), 2023, pp. 1676–87, doi:<a href="https://doi.org/10.3934/eect.2023031">10.3934/eect.2023031</a>.
  short: Y. Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687.
date_created: 2025-12-18T19:14:46Z
date_updated: 2025-12-18T20:11:23Z
doi: 10.3934/eect.2023031
intvolume: '        12'
issue: '6'
language:
- iso: eng
page: 1676-1687
publication: Evolution Equations and Control Theory
publication_identifier:
  issn:
  - 2163-2480
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic
  model with saturated taxis at large densities
type: journal_article
user_id: '31496'
volume: 12
year: '2023'
...
---
_id: '63277'
author:
- first_name: Kevin J.
  full_name: Painter, Kevin J.
  last_name: Painter
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Painter KJ, Winkler M. Phenotype Switching in Chemotaxis Aggregation Models
    Controls the Spontaneous Emergence of Large Densities. <i>SIAM Journal on Applied
    Mathematics</i>. 2023;83(5):2096-2117. doi:<a href="https://doi.org/10.1137/22m1539393">10.1137/22m1539393</a>
  apa: Painter, K. J., &#38; Winkler, M. (2023). Phenotype Switching in Chemotaxis
    Aggregation Models Controls the Spontaneous Emergence of Large Densities. <i>SIAM
    Journal on Applied Mathematics</i>, <i>83</i>(5), 2096–2117. <a href="https://doi.org/10.1137/22m1539393">https://doi.org/10.1137/22m1539393</a>
  bibtex: '@article{Painter_Winkler_2023, title={Phenotype Switching in Chemotaxis
    Aggregation Models Controls the Spontaneous Emergence of Large Densities}, volume={83},
    DOI={<a href="https://doi.org/10.1137/22m1539393">10.1137/22m1539393</a>}, number={5},
    journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial
    &#38; Applied Mathematics (SIAM)}, author={Painter, Kevin J. and Winkler, Michael},
    year={2023}, pages={2096–2117} }'
  chicago: 'Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis
    Aggregation Models Controls the Spontaneous Emergence of Large Densities.” <i>SIAM
    Journal on Applied Mathematics</i> 83, no. 5 (2023): 2096–2117. <a href="https://doi.org/10.1137/22m1539393">https://doi.org/10.1137/22m1539393</a>.'
  ieee: 'K. J. Painter and M. Winkler, “Phenotype Switching in Chemotaxis Aggregation
    Models Controls the Spontaneous Emergence of Large Densities,” <i>SIAM Journal
    on Applied Mathematics</i>, vol. 83, no. 5, pp. 2096–2117, 2023, doi: <a href="https://doi.org/10.1137/22m1539393">10.1137/22m1539393</a>.'
  mla: Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis
    Aggregation Models Controls the Spontaneous Emergence of Large Densities.” <i>SIAM
    Journal on Applied Mathematics</i>, vol. 83, no. 5, Society for Industrial &#38;
    Applied Mathematics (SIAM), 2023, pp. 2096–117, doi:<a href="https://doi.org/10.1137/22m1539393">10.1137/22m1539393</a>.
  short: K.J. Painter, M. Winkler, SIAM Journal on Applied Mathematics 83 (2023) 2096–2117.
date_created: 2025-12-18T19:15:29Z
date_updated: 2025-12-18T20:11:36Z
doi: 10.1137/22m1539393
intvolume: '        83'
issue: '5'
language:
- iso: eng
page: 2096-2117
publication: SIAM Journal on Applied Mathematics
publication_identifier:
  issn:
  - 0036-1399
  - 1095-712X
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous
  Emergence of Large Densities
type: journal_article
user_id: '31496'
volume: 83
year: '2023'
...
---
_id: '63283'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>The parabolic problem <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\left\\{ \\begin{array}{l} u_t=\\Delta \\big (u\\phi (v)\\big ), \\\\ v_t=\\Delta
    v-uv, \\end{array} \\right. \\end{aligned}$$</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>Δ</mml:mi>\r\n                                      <mml:mrow>\r\n
    \                                       <mml:mo>(</mml:mo>\r\n                                      </mml:mrow>\r\n
    \                                     <mml:mi>u</mml:mi>\r\n                                      <mml:mi>ϕ</mml:mi>\r\n
    \                                     <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n
    \                                       <mml:mi>v</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n
    \                                     </mml:mrow>\r\n                                      <mml:mrow>\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>u</mml:mi>\r\n                                      <mml:mi>v</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>is considered
    in smoothly bounded subdomains of <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\mathbb
    {R}}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\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:math></jats:alternatives></jats:inline-formula>
    with arbitrary <jats:inline-formula><jats:alternatives><jats:tex-math>$$n\\ge
    1$$</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>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>.
    Under the assumptions that <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\phi
    \\in C^0([0,\\infty )) \\cap C^3((0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>ϕ</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n
    \                   <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n
    \                     <mml:mn>0</mml:mn>\r\n                    </mml:msup>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n
    \                     <mml:mrow>\r\n                        <mml:mo>[</mml:mo>\r\n
    \                       <mml:mn>0</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n
    \                       <mml:mi>∞</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n
    \                     </mml:mrow>\r\n                      <mml:mo>)</mml:mo>\r\n
    \                   </mml:mrow>\r\n                    <mml:mo>∩</mml:mo>\r\n
    \                   <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n
    \                     <mml:mn>3</mml:mn>\r\n                    </mml:msup>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n
    \                     <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n
    \                       <mml:mn>0</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n
    \                       <mml:mi>∞</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n
    \                     </mml:mrow>\r\n                      <mml:mo>)</mml:mo>\r\n
    \                   </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    is positive 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 satisfies <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\liminf _{\\xi \\searrow 0} \\frac{\\phi (\\xi )}{\\xi ^\\alpha }&gt;0 \\quad
    {\\text{ and }} \\quad \\limsup _{\\xi \\searrow 0} \\big \\{ \\xi ^\\beta |\\phi
    '(\\xi )| \\big \\}&lt;\\infty \\end{aligned}$$</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:munder>\r\n                              <mml:mo>lim
    inf</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mi>ξ</mml:mi>\r\n
    \                               <mml:mo>↘</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n
    \                             </mml:mrow>\r\n                            </mml:munder>\r\n
    \                           <mml:mfrac>\r\n                              <mml:mrow>\r\n
    \                               <mml:mi>ϕ</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n
    \                               <mml:mi>ξ</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n
    \                             </mml:mrow>\r\n                              <mml:msup>\r\n
    \                               <mml:mi>ξ</mml:mi>\r\n                                <mml:mi>α</mml:mi>\r\n
    \                             </mml:msup>\r\n                            </mml:mfrac>\r\n
    \                           <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n
    \                           <mml:mspace/>\r\n                            <mml:mrow>\r\n
    \                             <mml:mspace/>\r\n                              <mml:mtext>and</mml:mtext>\r\n
    \                             <mml:mspace/>\r\n                            </mml:mrow>\r\n
    \                           <mml:mspace/>\r\n                            <mml:munder>\r\n
    \                             <mml:mo>lim sup</mml:mo>\r\n                              <mml:mrow>\r\n
    \                               <mml:mi>ξ</mml:mi>\r\n                                <mml:mo>↘</mml:mo>\r\n
    \                               <mml:mn>0</mml:mn>\r\n                              </mml:mrow>\r\n
    \                           </mml:munder>\r\n                            <mml:mrow>\r\n
    \                             <mml:mo>{</mml:mo>\r\n                            </mml:mrow>\r\n
    \                           <mml:msup>\r\n                              <mml:mi>ξ</mml:mi>\r\n
    \                             <mml:mi>β</mml:mi>\r\n                            </mml:msup>\r\n
    \                           <mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n
    \                             <mml:msup>\r\n                                <mml:mi>ϕ</mml:mi>\r\n
    \                               <mml:mo>′</mml:mo>\r\n                              </mml:msup>\r\n
    \                             <mml:mrow>\r\n                                <mml:mo>(</mml:mo>\r\n
    \                               <mml:mi>ξ</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n
    \                             </mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n
    \                           </mml:mrow>\r\n                            <mml:mrow>\r\n
    \                             <mml:mo>}</mml:mo>\r\n                            </mml:mrow>\r\n
    \                           <mml:mo>&lt;</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\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>with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\alpha
    &gt;0$$</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>&gt;</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\beta &gt;0$$</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>&gt;</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    for all reasonably regular initial data an associated no-flux type initial-boundary
    value problem is shown to admit a global solution in an appropriately generalized
    sense. This extends previously developed solution theories on problems of this
    form, which either concentrated on non-degenerate or weakly degenerate cases corresponding
    to the choices <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\alpha
    =0$$</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:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\alpha \\in (0,2)$$</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:mo>(</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                   <mml:mo>,</mml:mo>\r\n                    <mml:mn>2</mml:mn>\r\n
    \                   <mml:mo>)</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    or were restricted to low-dimensional settings by requiring that <jats:inline-formula><jats:alternatives><jats:tex-math>$$n\\le
    2$$</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>2</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>.</jats:p>"
article_number: '32'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Global generalized solvability in a strongly degenerate taxis-type
    parabolic system modeling migration–consumption interaction. <i>Zeitschrift für
    angewandte Mathematik und Physik</i>. 2023;74(1). doi:<a href="https://doi.org/10.1007/s00033-022-01925-3">10.1007/s00033-022-01925-3</a>
  apa: Winkler, M. (2023). Global generalized solvability in a strongly degenerate
    taxis-type parabolic system modeling migration–consumption interaction. <i>Zeitschrift
    Für Angewandte Mathematik Und Physik</i>, <i>74</i>(1), Article 32. <a href="https://doi.org/10.1007/s00033-022-01925-3">https://doi.org/10.1007/s00033-022-01925-3</a>
  bibtex: '@article{Winkler_2023, title={Global generalized solvability in a strongly
    degenerate taxis-type parabolic system modeling migration–consumption interaction},
    volume={74}, DOI={<a href="https://doi.org/10.1007/s00033-022-01925-3">10.1007/s00033-022-01925-3</a>},
    number={132}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer
    Science and Business Media LLC}, author={Winkler, Michael}, year={2023} }'
  chicago: Winkler, Michael. “Global Generalized Solvability in a Strongly Degenerate
    Taxis-Type Parabolic System Modeling Migration–Consumption Interaction.” <i>Zeitschrift
    Für Angewandte Mathematik Und Physik</i> 74, no. 1 (2023). <a href="https://doi.org/10.1007/s00033-022-01925-3">https://doi.org/10.1007/s00033-022-01925-3</a>.
  ieee: 'M. Winkler, “Global generalized solvability in a strongly degenerate taxis-type
    parabolic system modeling migration–consumption interaction,” <i>Zeitschrift für
    angewandte Mathematik und Physik</i>, vol. 74, no. 1, Art. no. 32, 2023, doi:
    <a href="https://doi.org/10.1007/s00033-022-01925-3">10.1007/s00033-022-01925-3</a>.'
  mla: Winkler, Michael. “Global Generalized Solvability in a Strongly Degenerate
    Taxis-Type Parabolic System Modeling Migration–Consumption Interaction.” <i>Zeitschrift
    Für Angewandte Mathematik Und Physik</i>, vol. 74, no. 1, 32, Springer Science
    and Business Media LLC, 2023, doi:<a href="https://doi.org/10.1007/s00033-022-01925-3">10.1007/s00033-022-01925-3</a>.
  short: M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 74 (2023).
date_created: 2025-12-18T19:17:51Z
date_updated: 2025-12-18T20:12:20Z
doi: 10.1007/s00033-022-01925-3
intvolume: '        74'
issue: '1'
language:
- iso: eng
publication: Zeitschrift für angewandte Mathematik und Physik
publication_identifier:
  issn:
  - 0044-2275
  - 1420-9039
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Global generalized solvability in a strongly degenerate taxis-type parabolic
  system modeling migration–consumption interaction
type: journal_article
user_id: '31496'
volume: 74
year: '2023'
...
---
_id: '63255'
author:
- first_name: Genglin
  full_name: Li, Genglin
  last_name: Li
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Li G, Winkler M. Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities. <i>Applicable Analysis</i>. 2023;103(1):45-64.
    doi:<a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>
  apa: Li, G., &#38; Winkler, M. (2023). Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities. <i>Applicable Analysis</i>, <i>103</i>(1),
    45–64. <a href="https://doi.org/10.1080/00036811.2023.2173183">https://doi.org/10.1080/00036811.2023.2173183</a>
  bibtex: '@article{Li_Winkler_2023, title={Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities}, volume={103}, DOI={<a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>},
    number={1}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Li,
    Genglin and Winkler, Michael}, year={2023}, pages={45–64} }'
  chicago: 'Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption
    System Involving Signal-Dependent Motilities.” <i>Applicable Analysis</i> 103,
    no. 1 (2023): 45–64. <a href="https://doi.org/10.1080/00036811.2023.2173183">https://doi.org/10.1080/00036811.2023.2173183</a>.'
  ieee: 'G. Li and M. Winkler, “Refined regularity analysis for a Keller-Segel-consumption
    system involving signal-dependent motilities,” <i>Applicable Analysis</i>, vol.
    103, no. 1, pp. 45–64, 2023, doi: <a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>.'
  mla: Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption
    System Involving Signal-Dependent Motilities.” <i>Applicable Analysis</i>, vol.
    103, no. 1, Informa UK Limited, 2023, pp. 45–64, doi:<a href="https://doi.org/10.1080/00036811.2023.2173183">10.1080/00036811.2023.2173183</a>.
  short: G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64.
date_created: 2025-12-18T19:05:34Z
date_updated: 2025-12-18T20:14:04Z
doi: 10.1080/00036811.2023.2173183
intvolume: '       103'
issue: '1'
language:
- iso: eng
page: 45-64
publication: Applicable Analysis
publication_identifier:
  issn:
  - 0003-6811
  - 1563-504X
publication_status: published
publisher: Informa UK Limited
status: public
title: Refined regularity analysis for a Keller-Segel-consumption system involving
  signal-dependent motilities
type: journal_article
user_id: '31496'
volume: 103
year: '2023'
...
---
_id: '63261'
abstract:
- lang: eng
  text: "<jats:p>\r\n            The taxis-type migration–consumption model accounting
    for signal-dependent motilities, as given by \r\n            <jats:inline-formula>\r\n
    \             <jats:tex-math>u_{t} = \\Delta (u\\phi(v))</jats:tex-math>\r\n            </jats:inline-formula>\r\n
    \           , \r\n            <jats:inline-formula>\r\n              <jats:tex-math>v_{t}
    = \\Delta v-uv</jats:tex-math>\r\n            </jats:inline-formula>\r\n            ,
    is considered for suitably smooth functions \r\n            <jats:inline-formula>\r\n
    \             <jats:tex-math>\\phi\\colon[0,\\infty)\\to\\R</jats:tex-math>\r\n
    \           </jats:inline-formula>\r\n             which are such that \r\n            <jats:inline-formula>\r\n
    \             <jats:tex-math>\\phi&gt;0</jats:tex-math>\r\n            </jats:inline-formula>\r\n
    \            on \r\n            <jats:inline-formula>\r\n              <jats:tex-math>(0,\\infty)</jats:tex-math>\r\n
    \           </jats:inline-formula>\r\n            , but that in addition \r\n
    \           <jats:inline-formula>\r\n              <jats:tex-math>\\phi(0)=0</jats:tex-math>\r\n
    \           </jats:inline-formula>\r\n             with \r\n            <jats:inline-formula>\r\n
    \             <jats:tex-math>\\phi'(0)&gt;0</jats:tex-math>\r\n            </jats:inline-formula>\r\n
    \           . In order to appropriately cope with the diffusion degeneracies thereby
    included, this study separately examines the Neumann problem for the linear equation
    \r\n            <jats:inline-formula>\r\n              <jats:tex-math>V_{t} =
    \\Delta V + \\nabla\\cdot ( a(x,t)V) + b(x,t)V</jats:tex-math>\r\n            </jats:inline-formula>\r\n
    \            and establishes a statement on how pointwise positive lower bounds
    for nonnegative solutions depend on the supremum and the mass of the initial data,
    and on integrability features of \r\n            <jats:inline-formula>\r\n              <jats:tex-math>a</jats:tex-math>\r\n
    \           </jats:inline-formula>\r\n             and \r\n            <jats:inline-formula>\r\n
    \             <jats:tex-math>b</jats:tex-math>\r\n            </jats:inline-formula>\r\n
    \           . This is thereafter used as a key tool in the derivation of a result
    on global existence of solutions to the equation above, smooth and classical for
    positive times, under the mere assumption that the suitably regular initial data
    be nonnegative in both components. Apart from that, these solutions are seen to
    stabilize toward some equilibrium, and as a qualitative effect genuinely due to
    degeneracy in diffusion, a criterion on initial smallness of the second component
    is identified as sufficient for this limit state to be spatially nonconstant.\r\n
    \         </jats:p>"
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. A quantitative strong parabolic maximum principle and application
    to a taxis-type migration–consumption model involving signal-dependent degenerate
    diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>.
    2023;41(1):95-127. doi:<a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>
  apa: Winkler, M. (2023). A quantitative strong parabolic maximum principle and application
    to a taxis-type migration–consumption model involving signal-dependent degenerate
    diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>,
    <i>41</i>(1), 95–127. <a href="https://doi.org/10.4171/aihpc/73">https://doi.org/10.4171/aihpc/73</a>
  bibtex: '@article{Winkler_2023, title={A quantitative strong parabolic maximum principle
    and application to a taxis-type migration–consumption model involving signal-dependent
    degenerate diffusion}, volume={41}, DOI={<a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>},
    number={1}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire},
    publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler,
    Michael}, year={2023}, pages={95–127} }'
  chicago: 'Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and
    Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent
    Degenerate Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non
    Linéaire</i> 41, no. 1 (2023): 95–127. <a href="https://doi.org/10.4171/aihpc/73">https://doi.org/10.4171/aihpc/73</a>.'
  ieee: 'M. Winkler, “A quantitative strong parabolic maximum principle and application
    to a taxis-type migration–consumption model involving signal-dependent degenerate
    diffusion,” <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>,
    vol. 41, no. 1, pp. 95–127, 2023, doi: <a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>.'
  mla: Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application
    to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate
    Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>,
    vol. 41, no. 1, European Mathematical Society - EMS - Publishing House GmbH, 2023,
    pp. 95–127, doi:<a href="https://doi.org/10.4171/aihpc/73">10.4171/aihpc/73</a>.
  short: M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire
    41 (2023) 95–127.
date_created: 2025-12-18T19:08:10Z
date_updated: 2025-12-18T20:14:52Z
doi: 10.4171/aihpc/73
intvolume: '        41'
issue: '1'
language:
- iso: eng
page: 95-127
publication: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
publication_identifier:
  issn:
  - 0294-1449
  - 1873-1430
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: A quantitative strong parabolic maximum principle and application to a taxis-type
  migration–consumption model involving signal-dependent degenerate diffusion
type: journal_article
user_id: '31496'
volume: 41
year: '2023'
...
---
_id: '53338'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>We give an overview of analytical
    results concerned with chemotaxis systems where the signal is absorbed. We recall
    results on existence and properties of solutions for the prototypical chemotaxis‐consumption
    model and various variants and review more recent findings on its ability to support
    the emergence of spatial structures.</jats:p>
author:
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: 'Lankeit J, Winkler M. Depleting the signal: Analysis of chemotaxis‐consumption
    models—A survey. <i>Studies in Applied Mathematics</i>. 2023;151(4):1197-1229.
    doi:<a href="https://doi.org/10.1111/sapm.12625">10.1111/sapm.12625</a>'
  apa: 'Lankeit, J., &#38; Winkler, M. (2023). Depleting the signal: Analysis of chemotaxis‐consumption
    models—A survey. <i>Studies in Applied Mathematics</i>, <i>151</i>(4), 1197–1229.
    <a href="https://doi.org/10.1111/sapm.12625">https://doi.org/10.1111/sapm.12625</a>'
  bibtex: '@article{Lankeit_Winkler_2023, title={Depleting the signal: Analysis of
    chemotaxis‐consumption models—A survey}, volume={151}, DOI={<a href="https://doi.org/10.1111/sapm.12625">10.1111/sapm.12625</a>},
    number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Lankeit,
    Johannes and Winkler, Michael}, year={2023}, pages={1197–1229} }'
  chicago: 'Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis
    of Chemotaxis‐consumption Models—A Survey.” <i>Studies in Applied Mathematics</i>
    151, no. 4 (2023): 1197–1229. <a href="https://doi.org/10.1111/sapm.12625">https://doi.org/10.1111/sapm.12625</a>.'
  ieee: 'J. Lankeit and M. Winkler, “Depleting the signal: Analysis of chemotaxis‐consumption
    models—A survey,” <i>Studies in Applied Mathematics</i>, vol. 151, no. 4, pp.
    1197–1229, 2023, doi: <a href="https://doi.org/10.1111/sapm.12625">10.1111/sapm.12625</a>.'
  mla: 'Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis of
    Chemotaxis‐consumption Models—A Survey.” <i>Studies in Applied Mathematics</i>,
    vol. 151, no. 4, Wiley, 2023, pp. 1197–229, doi:<a href="https://doi.org/10.1111/sapm.12625">10.1111/sapm.12625</a>.'
  short: J. Lankeit, M. Winkler, Studies in Applied Mathematics 151 (2023) 1197–1229.
date_created: 2024-04-07T12:50:45Z
date_updated: 2025-12-18T20:16:04Z
doi: 10.1111/sapm.12625
intvolume: '       151'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 1197-1229
publication: Studies in Applied Mathematics
publication_identifier:
  issn:
  - 0022-2526
  - 1467-9590
publication_status: published
publisher: Wiley
status: public
title: 'Depleting the signal: Analysis of chemotaxis‐consumption models—A survey'
type: journal_article
user_id: '31496'
volume: 151
year: '2023'
...
---
_id: '63243'
article_number: '286'
author:
- first_name: Francesca
  full_name: Colasuonno, Francesca
  last_name: Colasuonno
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Colasuonno F, Winkler M. Stability vs.~instability of singular steady states
    in the parabolic-elliptic Keller-Segel system on $\R^n$. <i>ANNALI SCUOLA NORMALE
    SUPERIORE - CLASSE DI SCIENZE</i>. Published online 2023. doi:<a href="https://doi.org/10.2422/2036-2145.202303_006">10.2422/2036-2145.202303_006</a>
  apa: Colasuonno, F., &#38; Winkler, M. (2023). Stability vs.~instability of singular
    steady states in the parabolic-elliptic Keller-Segel system on $\R^n$. <i>ANNALI
    SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, Article 286. <a href="https://doi.org/10.2422/2036-2145.202303_006">https://doi.org/10.2422/2036-2145.202303_006</a>
  bibtex: '@article{Colasuonno_Winkler_2023, title={Stability vs.~instability of singular
    steady states in the parabolic-elliptic Keller-Segel system on $\R^n$}, DOI={<a
    href="https://doi.org/10.2422/2036-2145.202303_006">10.2422/2036-2145.202303_006</a>},
    number={286}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola
    Normale Superiore - Edizioni della Normale}, author={Colasuonno, Francesca and
    Winkler, Michael}, year={2023} }'
  chicago: Colasuonno, Francesca, and Michael Winkler. “Stability vs.~instability
    of Singular Steady States in the Parabolic-Elliptic Keller-Segel System on $\R^n$.”
    <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, 2023. <a href="https://doi.org/10.2422/2036-2145.202303_006">https://doi.org/10.2422/2036-2145.202303_006</a>.
  ieee: 'F. Colasuonno and M. Winkler, “Stability vs.~instability of singular steady
    states in the parabolic-elliptic Keller-Segel system on $\R^n$,” <i>ANNALI SCUOLA
    NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, Art. no. 286, 2023, doi: <a href="https://doi.org/10.2422/2036-2145.202303_006">10.2422/2036-2145.202303_006</a>.'
  mla: Colasuonno, Francesca, and Michael Winkler. “Stability vs.~instability of Singular
    Steady States in the Parabolic-Elliptic Keller-Segel System on $\R^n$.” <i>ANNALI
    SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, 286, Scuola Normale Superiore
    - Edizioni della Normale, 2023, doi:<a href="https://doi.org/10.2422/2036-2145.202303_006">10.2422/2036-2145.202303_006</a>.
  short: F. Colasuonno, M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
    (2023).
date_created: 2025-12-18T18:58:40Z
date_updated: 2025-12-18T20:17:21Z
doi: 10.2422/2036-2145.202303_006
language:
- iso: eng
publication: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
publication_identifier:
  issn:
  - 2036-2145
  - 0391-173X
publication_status: published
publisher: Scuola Normale Superiore - Edizioni della Normale
status: public
title: Stability vs.~instability of singular steady states in the parabolic-elliptic
  Keller-Segel system on $\R^n$
type: journal_article
user_id: '31496'
year: '2023'
...
---
_id: '46863'
author:
- first_name: Maximilian
  full_name: Schenke, Maximilian
  id: '52638'
  last_name: Schenke
  orcid: 0000-0001-5427-9527
- first_name: Barnabas
  full_name: Haucke-Korber, Barnabas
  id: '93461'
  last_name: Haucke-Korber
  orcid: 0000-0003-0862-2069
- first_name: Oliver
  full_name: Wallscheid, Oliver
  id: '11291'
  last_name: Wallscheid
  orcid: https://orcid.org/0000-0001-9362-8777
citation:
  ama: Schenke M, Haucke-Korber B, Wallscheid O. Finite-Set Direct Torque Control
    via Edge Computing-Assisted Safe Reinforcement Learning for a Permanent Magnet
    Synchronous Motor. <i>IEEE Transactions on Power Electronics</i>. Published online
    2023:1-16. doi:<a href="https://doi.org/10.1109/tpel.2023.3303651">10.1109/tpel.2023.3303651</a>
  apa: Schenke, M., Haucke-Korber, B., &#38; Wallscheid, O. (2023). Finite-Set Direct
    Torque Control via Edge Computing-Assisted Safe Reinforcement Learning for a Permanent
    Magnet Synchronous Motor. <i>IEEE Transactions on Power Electronics</i>, 1–16.
    <a href="https://doi.org/10.1109/tpel.2023.3303651">https://doi.org/10.1109/tpel.2023.3303651</a>
  bibtex: '@article{Schenke_Haucke-Korber_Wallscheid_2023, title={Finite-Set Direct
    Torque Control via Edge Computing-Assisted Safe Reinforcement Learning for a Permanent
    Magnet Synchronous Motor}, DOI={<a href="https://doi.org/10.1109/tpel.2023.3303651">10.1109/tpel.2023.3303651</a>},
    journal={IEEE Transactions on Power Electronics}, publisher={Institute of Electrical
    and Electronics Engineers (IEEE)}, author={Schenke, Maximilian and Haucke-Korber,
    Barnabas and Wallscheid, Oliver}, year={2023}, pages={1–16} }'
  chicago: Schenke, Maximilian, Barnabas Haucke-Korber, and Oliver Wallscheid. “Finite-Set
    Direct Torque Control via Edge Computing-Assisted Safe Reinforcement Learning
    for a Permanent Magnet Synchronous Motor.” <i>IEEE Transactions on Power Electronics</i>,
    2023, 1–16. <a href="https://doi.org/10.1109/tpel.2023.3303651">https://doi.org/10.1109/tpel.2023.3303651</a>.
  ieee: 'M. Schenke, B. Haucke-Korber, and O. Wallscheid, “Finite-Set Direct Torque
    Control via Edge Computing-Assisted Safe Reinforcement Learning for a Permanent
    Magnet Synchronous Motor,” <i>IEEE Transactions on Power Electronics</i>, pp.
    1–16, 2023, doi: <a href="https://doi.org/10.1109/tpel.2023.3303651">10.1109/tpel.2023.3303651</a>.'
  mla: Schenke, Maximilian, et al. “Finite-Set Direct Torque Control via Edge Computing-Assisted
    Safe Reinforcement Learning for a Permanent Magnet Synchronous Motor.” <i>IEEE
    Transactions on Power Electronics</i>, Institute of Electrical and Electronics
    Engineers (IEEE), 2023, pp. 1–16, doi:<a href="https://doi.org/10.1109/tpel.2023.3303651">10.1109/tpel.2023.3303651</a>.
  short: M. Schenke, B. Haucke-Korber, O. Wallscheid, IEEE Transactions on Power Electronics
    (2023) 1–16.
date_created: 2023-09-07T12:08:05Z
date_updated: 2025-12-19T12:44:23Z
department:
- _id: '52'
doi: 10.1109/tpel.2023.3303651
keyword:
- Electrical and Electronic Engineering
language:
- iso: eng
page: 1-16
publication: IEEE Transactions on Power Electronics
publication_identifier:
  issn:
  - 0885-8993
  - 1941-0107
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: Finite-Set Direct Torque Control via Edge Computing-Assisted Safe Reinforcement
  Learning for a Permanent Magnet Synchronous Motor
type: journal_article
user_id: '93461'
year: '2023'
...
---
_id: '46865'
author:
- first_name: Barnabas
  full_name: Haucke-Korber, Barnabas
  id: '93461'
  last_name: Haucke-Korber
  orcid: 0000-0003-0862-2069
- first_name: Maximilian
  full_name: Schenke, Maximilian
  id: '52638'
  last_name: Schenke
  orcid: 0000-0001-5427-9527
- first_name: Oliver
  full_name: Wallscheid, Oliver
  id: '11291'
  last_name: Wallscheid
  orcid: https://orcid.org/0000-0001-9362-8777
citation:
  ama: 'Haucke-Korber B, Schenke M, Wallscheid O. Deep Q Direct Torque Control with
    a Reduced Control Set Towards Six-Step Operation of Permanent Magnet Synchronous
    Motors. In: <i>2023 IEEE International Electric Machines &#38;amp; Drives Conference
    (IEMDC)</i>. IEEE; 2023. doi:<a href="https://doi.org/10.1109/iemdc55163.2023.10239018">10.1109/iemdc55163.2023.10239018</a>'
  apa: Haucke-Korber, B., Schenke, M., &#38; Wallscheid, O. (2023). Deep Q Direct
    Torque Control with a Reduced Control Set Towards Six-Step Operation of Permanent
    Magnet Synchronous Motors. <i>2023 IEEE International Electric Machines &#38;amp;
    Drives Conference (IEMDC)</i>. <a href="https://doi.org/10.1109/iemdc55163.2023.10239018">https://doi.org/10.1109/iemdc55163.2023.10239018</a>
  bibtex: '@inproceedings{Haucke-Korber_Schenke_Wallscheid_2023, title={Deep Q Direct
    Torque Control with a Reduced Control Set Towards Six-Step Operation of Permanent
    Magnet Synchronous Motors}, DOI={<a href="https://doi.org/10.1109/iemdc55163.2023.10239018">10.1109/iemdc55163.2023.10239018</a>},
    booktitle={2023 IEEE International Electric Machines &#38;amp; Drives Conference
    (IEMDC)}, publisher={IEEE}, author={Haucke-Korber, Barnabas and Schenke, Maximilian
    and Wallscheid, Oliver}, year={2023} }'
  chicago: Haucke-Korber, Barnabas, Maximilian Schenke, and Oliver Wallscheid. “Deep
    Q Direct Torque Control with a Reduced Control Set Towards Six-Step Operation
    of Permanent Magnet Synchronous Motors.” In <i>2023 IEEE International Electric
    Machines &#38;amp; Drives Conference (IEMDC)</i>. IEEE, 2023. <a href="https://doi.org/10.1109/iemdc55163.2023.10239018">https://doi.org/10.1109/iemdc55163.2023.10239018</a>.
  ieee: 'B. Haucke-Korber, M. Schenke, and O. Wallscheid, “Deep Q Direct Torque Control
    with a Reduced Control Set Towards Six-Step Operation of Permanent Magnet Synchronous
    Motors,” 2023, doi: <a href="https://doi.org/10.1109/iemdc55163.2023.10239018">10.1109/iemdc55163.2023.10239018</a>.'
  mla: Haucke-Korber, Barnabas, et al. “Deep Q Direct Torque Control with a Reduced
    Control Set Towards Six-Step Operation of Permanent Magnet Synchronous Motors.”
    <i>2023 IEEE International Electric Machines &#38;amp; Drives Conference (IEMDC)</i>,
    IEEE, 2023, doi:<a href="https://doi.org/10.1109/iemdc55163.2023.10239018">10.1109/iemdc55163.2023.10239018</a>.
  short: 'B. Haucke-Korber, M. Schenke, O. Wallscheid, in: 2023 IEEE International
    Electric Machines &#38;amp; Drives Conference (IEMDC), IEEE, 2023.'
date_created: 2023-09-07T12:08:35Z
date_updated: 2025-12-19T12:44:15Z
department:
- _id: '52'
doi: 10.1109/iemdc55163.2023.10239018
language:
- iso: eng
publication: 2023 IEEE International Electric Machines &amp; Drives Conference (IEMDC)
publication_status: published
publisher: IEEE
status: public
title: Deep Q Direct Torque Control with a Reduced Control Set Towards Six-Step Operation
  of Permanent Magnet Synchronous Motors
type: conference
user_id: '93461'
year: '2023'
...
---
_id: '46864'
author:
- first_name: Felix
  full_name: Book, Felix
  last_name: Book
- first_name: Arne
  full_name: Traue, Arne
  last_name: Traue
- first_name: Maximilian
  full_name: Schenke, Maximilian
  id: '52638'
  last_name: Schenke
  orcid: 0000-0001-5427-9527
- first_name: Barnabas
  full_name: Haucke-Korber, Barnabas
  id: '93461'
  last_name: Haucke-Korber
  orcid: 0000-0003-0862-2069
- first_name: Oliver
  full_name: Wallscheid, Oliver
  id: '11291'
  last_name: Wallscheid
  orcid: https://orcid.org/0000-0001-9362-8777
citation:
  ama: 'Book F, Traue A, Schenke M, Haucke-Korber B, Wallscheid O. Gym-Electric-Motor
    (GEM) Control: An Automated Open-Source Controller Design Suite for Drives. In:
    <i>2023 IEEE International Electric Machines &#38;amp; Drives Conference (IEMDC)</i>.
    IEEE; 2023. doi:<a href="https://doi.org/10.1109/iemdc55163.2023.10239044">10.1109/iemdc55163.2023.10239044</a>'
  apa: 'Book, F., Traue, A., Schenke, M., Haucke-Korber, B., &#38; Wallscheid, O.
    (2023). Gym-Electric-Motor (GEM) Control: An Automated Open-Source Controller
    Design Suite for Drives. <i>2023 IEEE International Electric Machines &#38;amp;
    Drives Conference (IEMDC)</i>. <a href="https://doi.org/10.1109/iemdc55163.2023.10239044">https://doi.org/10.1109/iemdc55163.2023.10239044</a>'
  bibtex: '@inproceedings{Book_Traue_Schenke_Haucke-Korber_Wallscheid_2023, title={Gym-Electric-Motor
    (GEM) Control: An Automated Open-Source Controller Design Suite for Drives}, DOI={<a
    href="https://doi.org/10.1109/iemdc55163.2023.10239044">10.1109/iemdc55163.2023.10239044</a>},
    booktitle={2023 IEEE International Electric Machines &#38;amp; Drives Conference
    (IEMDC)}, publisher={IEEE}, author={Book, Felix and Traue, Arne and Schenke, Maximilian
    and Haucke-Korber, Barnabas and Wallscheid, Oliver}, year={2023} }'
  chicago: 'Book, Felix, Arne Traue, Maximilian Schenke, Barnabas Haucke-Korber, and
    Oliver Wallscheid. “Gym-Electric-Motor (GEM) Control: An Automated Open-Source
    Controller Design Suite for Drives.” In <i>2023 IEEE International Electric Machines
    &#38;amp; Drives Conference (IEMDC)</i>. IEEE, 2023. <a href="https://doi.org/10.1109/iemdc55163.2023.10239044">https://doi.org/10.1109/iemdc55163.2023.10239044</a>.'
  ieee: 'F. Book, A. Traue, M. Schenke, B. Haucke-Korber, and O. Wallscheid, “Gym-Electric-Motor
    (GEM) Control: An Automated Open-Source Controller Design Suite for Drives,” 2023,
    doi: <a href="https://doi.org/10.1109/iemdc55163.2023.10239044">10.1109/iemdc55163.2023.10239044</a>.'
  mla: 'Book, Felix, et al. “Gym-Electric-Motor (GEM) Control: An Automated Open-Source
    Controller Design Suite for Drives.” <i>2023 IEEE International Electric Machines
    &#38;amp; Drives Conference (IEMDC)</i>, IEEE, 2023, doi:<a href="https://doi.org/10.1109/iemdc55163.2023.10239044">10.1109/iemdc55163.2023.10239044</a>.'
  short: 'F. Book, A. Traue, M. Schenke, B. Haucke-Korber, O. Wallscheid, in: 2023
    IEEE International Electric Machines &#38;amp; Drives Conference (IEMDC), IEEE,
    2023.'
date_created: 2023-09-07T12:08:25Z
date_updated: 2025-12-19T12:44:03Z
department:
- _id: '52'
doi: 10.1109/iemdc55163.2023.10239044
language:
- iso: eng
publication: 2023 IEEE International Electric Machines &amp; Drives Conference (IEMDC)
publication_status: published
publisher: IEEE
status: public
title: 'Gym-Electric-Motor (GEM) Control: An Automated Open-Source Controller Design
  Suite for Drives'
type: conference
user_id: '93461'
year: '2023'
...
---
_id: '25832'
author:
- first_name: Philipp
  full_name: Siepmann, Philipp
  last_name: Siepmann
- first_name: Dominik
  full_name: Rumlich, Dominik
  id: '76026'
  last_name: Rumlich
  orcid: 0000-0001-8682-450X
- first_name: Frauke
  full_name: Matz, Frauke
  last_name: Matz
- first_name: Ricardo
  full_name: Römhild, Ricardo
  last_name: Römhild
citation:
  ama: 'Siepmann P, Rumlich D, Matz F, Römhild R. Attention to diversity in German
    CLIL classrooms: Multi-perspective research on students’ and teachers’ perceptions.
    <i>International Journal of Bilingual Education and Bilingualism</i>. 2023;26(9):1080-1096.
    doi:<a href="https://doi.org/10.1080/13670050.2021.1981821">10.1080/13670050.2021.1981821</a>'
  apa: 'Siepmann, P., Rumlich, D., Matz, F., &#38; Römhild, R. (2023). Attention to
    diversity in German CLIL classrooms: Multi-perspective research on students’ and
    teachers’ perceptions. <i>International Journal of Bilingual Education and Bilingualism</i>,
    <i>26</i>(9), 1080–1096. <a href="https://doi.org/10.1080/13670050.2021.1981821">https://doi.org/10.1080/13670050.2021.1981821</a>'
  bibtex: '@article{Siepmann_Rumlich_Matz_Römhild_2023, title={Attention to diversity
    in German CLIL classrooms: Multi-perspective research on students’ and teachers’
    perceptions}, volume={26}, DOI={<a href="https://doi.org/10.1080/13670050.2021.1981821">10.1080/13670050.2021.1981821</a>},
    number={9}, journal={International Journal of Bilingual Education and Bilingualism},
    author={Siepmann, Philipp and Rumlich, Dominik and Matz, Frauke and Römhild, Ricardo},
    year={2023}, pages={1080–1096} }'
  chicago: 'Siepmann, Philipp, Dominik Rumlich, Frauke Matz, and Ricardo Römhild.
    “Attention to Diversity in German CLIL Classrooms: Multi-Perspective Research
    on Students’ and Teachers’ Perceptions.” <i>International Journal of Bilingual
    Education and Bilingualism</i> 26, no. 9 (2023): 1080–96. <a href="https://doi.org/10.1080/13670050.2021.1981821">https://doi.org/10.1080/13670050.2021.1981821</a>.'
  ieee: 'P. Siepmann, D. Rumlich, F. Matz, and R. Römhild, “Attention to diversity
    in German CLIL classrooms: Multi-perspective research on students’ and teachers’
    perceptions,” <i>International Journal of Bilingual Education and Bilingualism</i>,
    vol. 26, no. 9, pp. 1080–1096, 2023, doi: <a href="https://doi.org/10.1080/13670050.2021.1981821">10.1080/13670050.2021.1981821</a>.'
  mla: 'Siepmann, Philipp, et al. “Attention to Diversity in German CLIL Classrooms:
    Multi-Perspective Research on Students’ and Teachers’ Perceptions.” <i>International
    Journal of Bilingual Education and Bilingualism</i>, vol. 26, no. 9, 2023, pp.
    1080–96, doi:<a href="https://doi.org/10.1080/13670050.2021.1981821">10.1080/13670050.2021.1981821</a>.'
  short: P. Siepmann, D. Rumlich, F. Matz, R. Römhild, International Journal of Bilingual
    Education and Bilingualism 26 (2023) 1080–1096.
date_created: 2021-10-08T05:54:50Z
date_updated: 2025-12-27T09:06:35Z
department:
- _id: '36'
- _id: '1'
- _id: '612'
doi: 10.1080/13670050.2021.1981821
intvolume: '        26'
issue: '9'
language:
- iso: eng
page: 1080-1096
publication: International Journal of Bilingual Education and Bilingualism
status: public
title: 'Attention to diversity in German CLIL classrooms: Multi-perspective research
  on students’ and teachers’ perceptions'
type: journal_article
user_id: '76026'
volume: 26
year: '2023'
...
---
_id: '45445'
author:
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
- first_name: Veronika
  full_name: Schulze, Veronika
  last_name: Schulze
- first_name: Lars
  full_name: Meihost, Lars
  id: '24769'
  last_name: Meihost
- first_name: Henrik
  full_name: Kuhlmann, Henrik
  last_name: Kuhlmann
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Bernd
  full_name: Henning, Bernd
  id: '213'
  last_name: Henning
citation:
  ama: Claes L, Feldmann N, Schulze V, et al. Inverse procedure for measuring piezoelectric
    material parameters using a single multi-electrode sample. <i>Journal of Sensors
    and Sensor Systems</i>. 2023;12(1):163–173. doi:<a href="https://doi.org/10.5194/jsss-12-163-2023">10.5194/jsss-12-163-2023</a>
  apa: Claes, L., Feldmann, N., Schulze, V., Meihost, L., Kuhlmann, H., Jurgelucks,
    B., Walther, A., &#38; Henning, B. (2023). Inverse procedure for measuring piezoelectric
    material parameters using a single multi-electrode sample. <i>Journal of Sensors
    and Sensor Systems</i>, <i>12</i>(1), 163–173. <a href="https://doi.org/10.5194/jsss-12-163-2023">https://doi.org/10.5194/jsss-12-163-2023</a>
  bibtex: '@article{Claes_Feldmann_Schulze_Meihost_Kuhlmann_Jurgelucks_Walther_Henning_2023,
    title={Inverse procedure for measuring piezoelectric material parameters using
    a single multi-electrode sample}, volume={12}, DOI={<a href="https://doi.org/10.5194/jsss-12-163-2023">10.5194/jsss-12-163-2023</a>},
    number={1}, journal={Journal of Sensors and Sensor Systems}, author={Claes, Leander
    and Feldmann, Nadine and Schulze, Veronika and Meihost, Lars and Kuhlmann, Henrik
    and Jurgelucks, Benjamin and Walther, Andrea and Henning, Bernd}, year={2023},
    pages={163–173} }'
  chicago: 'Claes, Leander, Nadine Feldmann, Veronika Schulze, Lars Meihost, Henrik
    Kuhlmann, Benjamin Jurgelucks, Andrea Walther, and Bernd Henning. “Inverse Procedure
    for Measuring Piezoelectric Material Parameters Using a Single Multi-Electrode
    Sample.” <i>Journal of Sensors and Sensor Systems</i> 12, no. 1 (2023): 163–173.
    <a href="https://doi.org/10.5194/jsss-12-163-2023">https://doi.org/10.5194/jsss-12-163-2023</a>.'
  ieee: 'L. Claes <i>et al.</i>, “Inverse procedure for measuring piezoelectric material
    parameters using a single multi-electrode sample,” <i>Journal of Sensors and Sensor
    Systems</i>, vol. 12, no. 1, pp. 163–173, 2023, doi: <a href="https://doi.org/10.5194/jsss-12-163-2023">10.5194/jsss-12-163-2023</a>.'
  mla: Claes, Leander, et al. “Inverse Procedure for Measuring Piezoelectric Material
    Parameters Using a Single Multi-Electrode Sample.” <i>Journal of Sensors and Sensor
    Systems</i>, vol. 12, no. 1, 2023, pp. 163–173, doi:<a href="https://doi.org/10.5194/jsss-12-163-2023">10.5194/jsss-12-163-2023</a>.
  short: L. Claes, N. Feldmann, V. Schulze, L. Meihost, H. Kuhlmann, B. Jurgelucks,
    A. Walther, B. Henning, Journal of Sensors and Sensor Systems 12 (2023) 163–173.
date_created: 2023-06-01T12:55:43Z
date_updated: 2026-01-05T07:57:13Z
department:
- _id: '49'
doi: 10.5194/jsss-12-163-2023
intvolume: '        12'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://jsss.copernicus.org/articles/12/163/2023/jsss-12-163-2023.pdf
oa: '1'
page: 163–173
project:
- _id: '90'
  name: 'ChaMP: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums'
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
publication: Journal of Sensors and Sensor Systems
publication_status: published
status: public
title: Inverse procedure for measuring piezoelectric material parameters using a single
  multi-electrode sample
type: journal_article
user_id: '11829'
volume: 12
year: '2023'
...
---
_id: '45455'
author:
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
- first_name: Lars
  full_name: Meihost, Lars
  id: '24769'
  last_name: Meihost
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
citation:
  ama: Claes L, Meihost L, Jurgelucks B. <i>Inverse Procedure for the Identification
    of Piezoelectric Material Parameters Supported by Dense Neural Networks</i>.;
    2023.
  apa: Claes, L., Meihost, L., &#38; Jurgelucks, B. (2023). <i>Inverse procedure for
    the identification of piezoelectric material parameters supported by dense neural
    networks</i>.
  bibtex: '@book{Claes_Meihost_Jurgelucks_2023, place={GAMM Annual Meeting, Dresden},
    title={Inverse procedure for the identification of piezoelectric material parameters
    supported by dense neural networks}, author={Claes, Leander and Meihost, Lars
    and Jurgelucks, Benjamin}, year={2023} }'
  chicago: Claes, Leander, Lars Meihost, and Benjamin Jurgelucks. <i>Inverse Procedure
    for the Identification of Piezoelectric Material Parameters Supported by Dense
    Neural Networks</i>. GAMM Annual Meeting, Dresden, 2023.
  ieee: L. Claes, L. Meihost, and B. Jurgelucks, <i>Inverse procedure for the identification
    of piezoelectric material parameters supported by dense neural networks</i>. GAMM
    Annual Meeting, Dresden, 2023.
  mla: Claes, Leander, et al. <i>Inverse Procedure for the Identification of Piezoelectric
    Material Parameters Supported by Dense Neural Networks</i>. 2023.
  short: L. Claes, L. Meihost, B. Jurgelucks, Inverse Procedure for the Identification
    of Piezoelectric Material Parameters Supported by Dense Neural Networks, GAMM
    Annual Meeting, Dresden, 2023.
date_created: 2023-06-05T07:24:38Z
date_updated: 2026-01-05T07:58:01Z
department:
- _id: '49'
language:
- iso: eng
place: GAMM Annual Meeting, Dresden
project:
- _id: '90'
  name: 'ChaMP: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums'
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
status: public
title: Inverse procedure for the identification of piezoelectric material parameters
  supported by dense neural networks
type: misc
user_id: '11829'
year: '2023'
...
---
_id: '45456'
author:
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
citation:
  ama: Jurgelucks B. <i>Parameter Identification of Piezoelectrics Improved by Neural
    Networks</i>.; 2023.
  apa: Jurgelucks, B. (2023). <i>Parameter Identification of Piezoelectrics improved
    by Neural Networks</i>.
  bibtex: '@book{Jurgelucks_2023, place={GAMM Annual Meeting, Dresden}, title={Parameter
    Identification of Piezoelectrics improved by Neural Networks}, author={Jurgelucks,
    Benjamin}, year={2023} }'
  chicago: Jurgelucks, Benjamin. <i>Parameter Identification of Piezoelectrics Improved
    by Neural Networks</i>. GAMM Annual Meeting, Dresden, 2023.
  ieee: B. Jurgelucks, <i>Parameter Identification of Piezoelectrics improved by Neural
    Networks</i>. GAMM Annual Meeting, Dresden, 2023.
  mla: Jurgelucks, Benjamin. <i>Parameter Identification of Piezoelectrics Improved
    by Neural Networks</i>. 2023.
  short: B. Jurgelucks, Parameter Identification of Piezoelectrics Improved by Neural
    Networks, GAMM Annual Meeting, Dresden, 2023.
date_created: 2023-06-05T07:27:42Z
date_updated: 2026-01-05T07:58:17Z
language:
- iso: eng
place: GAMM Annual Meeting, Dresden
project:
- _id: '90'
  name: 'ChaMP: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums'
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
status: public
title: Parameter Identification of Piezoelectrics improved by Neural Networks
type: misc
user_id: '11829'
year: '2023'
...
---
_id: '45457'
author:
- first_name: Raphael
  full_name: Kuess, Raphael
  last_name: Kuess
citation:
  ama: Kuess R. <i>Parameter Identification in Piezoelectricity Based on All-at-Once
    and Reduced Regularization</i>.; 2023.
  apa: Kuess, R. (2023). <i>Parameter identification in piezoelectricity based on
    all-at-once and reduced regularization</i>.
  bibtex: '@book{Kuess_2023, place={GAMM Annual Meeting, Dresden}, title={Parameter
    identification in piezoelectricity based on all-at-once and reduced regularization},
    author={Kuess, Raphael}, year={2023} }'
  chicago: Kuess, Raphael. <i>Parameter Identification in Piezoelectricity Based on
    All-at-Once and Reduced Regularization</i>. GAMM Annual Meeting, Dresden, 2023.
  ieee: R. Kuess, <i>Parameter identification in piezoelectricity based on all-at-once
    and reduced regularization</i>. GAMM Annual Meeting, Dresden, 2023.
  mla: Kuess, Raphael. <i>Parameter Identification in Piezoelectricity Based on All-at-Once
    and Reduced Regularization</i>. 2023.
  short: R. Kuess, Parameter Identification in Piezoelectricity Based on All-at-Once
    and Reduced Regularization, GAMM Annual Meeting, Dresden, 2023.
date_created: 2023-06-05T07:30:26Z
date_updated: 2026-01-05T07:58:32Z
language:
- iso: eng
place: GAMM Annual Meeting, Dresden
project:
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
status: public
title: Parameter identification in piezoelectricity based on all-at-once and reduced
  regularization
type: misc
user_id: '11829'
year: '2023'
...
---
_id: '57086'
author:
- first_name: Michael
  full_name: Kuhlmann, Michael
  id: '49871'
  last_name: Kuhlmann
- first_name: Adrian Tobias
  full_name: Meise, Adrian Tobias
  id: '79268'
  last_name: Meise
- first_name: Fritz
  full_name: Seebauer, Fritz
  last_name: Seebauer
- first_name: Petra
  full_name: Wagner, Petra
  last_name: Wagner
- first_name: Reinhold
  full_name: Häb-Umbach, Reinhold
  id: '242'
  last_name: Häb-Umbach
citation:
  ama: 'Kuhlmann M, Meise AT, Seebauer F, Wagner P, Häb-Umbach R. Investigating Speaker
    Embedding Disentanglement on Natural Read Speech. In: <i>Speech Communication;
    15th ITG Conference</i>. ; 2023:121–125.'
  apa: Kuhlmann, M., Meise, A. T., Seebauer, F., Wagner, P., &#38; Häb-Umbach, R.
    (2023). Investigating Speaker Embedding Disentanglement on Natural Read Speech.
    <i>Speech Communication; 15th ITG Conference</i>, 121–125.
  bibtex: '@inproceedings{Kuhlmann_Meise_Seebauer_Wagner_Häb-Umbach_2023, title={Investigating
    Speaker Embedding Disentanglement on Natural Read Speech}, booktitle={Speech Communication;
    15th ITG Conference}, author={Kuhlmann, Michael and Meise, Adrian Tobias and Seebauer,
    Fritz and Wagner, Petra and Häb-Umbach, Reinhold}, year={2023}, pages={121–125}
    }'
  chicago: Kuhlmann, Michael, Adrian Tobias Meise, Fritz Seebauer, Petra Wagner, and
    Reinhold Häb-Umbach. “Investigating Speaker Embedding Disentanglement on Natural
    Read Speech.” In <i>Speech Communication; 15th ITG Conference</i>, 121–125, 2023.
  ieee: M. Kuhlmann, A. T. Meise, F. Seebauer, P. Wagner, and R. Häb-Umbach, “Investigating
    Speaker Embedding Disentanglement on Natural Read Speech,” in <i>Speech Communication;
    15th ITG Conference</i>, 2023, pp. 121–125.
  mla: Kuhlmann, Michael, et al. “Investigating Speaker Embedding Disentanglement
    on Natural Read Speech.” <i>Speech Communication; 15th ITG Conference</i>, 2023,
    pp. 121–125.
  short: 'M. Kuhlmann, A.T. Meise, F. Seebauer, P. Wagner, R. Häb-Umbach, in: Speech
    Communication; 15th ITG Conference, 2023, pp. 121–125.'
date_created: 2024-11-14T09:45:03Z
date_updated: 2026-01-05T10:12:23Z
department:
- _id: '54'
language:
- iso: eng
page: 121–125
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Speech Communication; 15th ITG Conference
status: public
title: Investigating Speaker Embedding Disentanglement on Natural Read Speech
type: conference
user_id: '49871'
year: '2023'
...
