---
_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'
...