---
_id: '53339'
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
  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: 2024-04-07T12:51:27Z
date_updated: 2024-04-07T12:51:31Z
doi: 10.1002/mma.9419
intvolume: '        46'
issue: '14'
keyword:
- General Engineering
- General Mathematics
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: '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: '34668'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Masaaki
  full_name: Mizukami, Masaaki
  last_name: Mizukami
citation:
  ama: 'Black T, Lankeit J, Mizukami M. A Keller‐Segel‐fluid system with singular
    sensitivity: Generalized solutions. <i>Mathematical Methods in the Applied Sciences</i>.
    2019;42(9):3002-3020. doi:<a href="https://doi.org/10.1002/mma.5561">10.1002/mma.5561</a>'
  apa: 'Black, T., Lankeit, J., &#38; Mizukami, M. (2019). A Keller‐Segel‐fluid system
    with singular sensitivity: Generalized solutions. <i>Mathematical Methods in the
    Applied Sciences</i>, <i>42</i>(9), 3002–3020. <a href="https://doi.org/10.1002/mma.5561">https://doi.org/10.1002/mma.5561</a>'
  bibtex: '@article{Black_Lankeit_Mizukami_2019, title={A Keller‐Segel‐fluid system
    with singular sensitivity: Generalized solutions}, volume={42}, DOI={<a href="https://doi.org/10.1002/mma.5561">10.1002/mma.5561</a>},
    number={9}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley},
    author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019},
    pages={3002–3020} }'
  chicago: 'Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “A Keller‐Segel‐fluid
    System with Singular Sensitivity: Generalized Solutions.” <i>Mathematical Methods
    in the Applied Sciences</i> 42, no. 9 (2019): 3002–20. <a href="https://doi.org/10.1002/mma.5561">https://doi.org/10.1002/mma.5561</a>.'
  ieee: 'T. Black, J. Lankeit, and M. Mizukami, “A Keller‐Segel‐fluid system with
    singular sensitivity: Generalized solutions,” <i>Mathematical Methods in the Applied
    Sciences</i>, vol. 42, no. 9, pp. 3002–3020, 2019, doi: <a href="https://doi.org/10.1002/mma.5561">10.1002/mma.5561</a>.'
  mla: 'Black, Tobias, et al. “A Keller‐Segel‐fluid System with Singular Sensitivity:
    Generalized Solutions.” <i>Mathematical Methods in the Applied Sciences</i>, vol.
    42, no. 9, Wiley, 2019, pp. 3002–20, doi:<a href="https://doi.org/10.1002/mma.5561">10.1002/mma.5561</a>.'
  short: T. Black, J. Lankeit, M. Mizukami, Mathematical Methods in the Applied Sciences
    42 (2019) 3002–3020.
date_created: 2022-12-21T09:47:47Z
date_updated: 2022-12-21T10:04:36Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1002/mma.5561
intvolume: '        42'
issue: '9'
keyword:
- General Engineering
- General Mathematics
language:
- iso: eng
page: 3002-3020
publication: Mathematical Methods in the Applied Sciences
publication_identifier:
  issn:
  - 0170-4214
  - 1099-1476
publication_status: published
publisher: Wiley
status: public
title: 'A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions'
type: journal_article
user_id: '23686'
volume: 42
year: '2019'
...