---
_id: '53321'
abstract:
- lang: eng
  text: '<jats:p> The chemotaxis system [Formula: see text] is considered in a ball
    [Formula: see text], [Formula: see text], where the positive function [Formula:
    see text] reflects suitably weak diffusion by satisfying [Formula: see text] for
    some [Formula: see text]. It is shown that whenever [Formula: see text] is positive
    and satisfies [Formula: see text] as [Formula: see text], one can find a suitably
    regular nonlinearity [Formula: see text] with the property that at each sufficiently
    large mass level [Formula: see text] there exists a globally defined radially
    symmetric classical solution to a Neumann-type boundary value problem for (⋆)
    which satisfies [Formula: see text] </jats:p>'
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems.
    <i>Communications in Contemporary Mathematics</i>. 2022;25(10). doi:<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>
  apa: Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel
    systems. <i>Communications in Contemporary Mathematics</i>, <i>25</i>(10). <a
    href="https://doi.org/10.1142/s0219199722500626">https://doi.org/10.1142/s0219199722500626</a>
  bibtex: '@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear
    Keller–Segel systems}, volume={25}, DOI={<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>},
    number={10}, journal={Communications in Contemporary Mathematics}, publisher={World
    Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }'
  chicago: Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel
    Systems.” <i>Communications in Contemporary Mathematics</i> 25, no. 10 (2022).
    <a href="https://doi.org/10.1142/s0219199722500626">https://doi.org/10.1142/s0219199722500626</a>.
  ieee: 'M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,”
    <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, 2022, doi:
    <a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>.'
  mla: Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel
    Systems.” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10,
    World Scientific Pub Co Pte Ltd, 2022, doi:<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>.
  short: M. Winkler, Communications in Contemporary Mathematics 25 (2022).
date_created: 2024-04-07T12:35:09Z
date_updated: 2024-04-07T12:35:53Z
doi: 10.1142/s0219199722500626
intvolume: '        25'
issue: '10'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
publication: Communications in Contemporary Mathematics
publication_identifier:
  issn:
  - 0219-1997
  - 1793-6683
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems
type: journal_article
user_id: '31496'
volume: 25
year: '2022'
...
---
_id: '63282'
abstract:
- lang: eng
  text: '<jats:p> The chemotaxis system [Formula: see text] is considered in a ball
    [Formula: see text], [Formula: see text], where the positive function [Formula:
    see text] reflects suitably weak diffusion by satisfying [Formula: see text] for
    some [Formula: see text]. It is shown that whenever [Formula: see text] is positive
    and satisfies [Formula: see text] as [Formula: see text], one can find a suitably
    regular nonlinearity [Formula: see text] with the property that at each sufficiently
    large mass level [Formula: see text] there exists a globally defined radially
    symmetric classical solution to a Neumann-type boundary value problem for (⋆)
    which satisfies [Formula: see text] </jats:p>'
article_number: '2250062'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems.
    <i>Communications in Contemporary Mathematics</i>. 2022;25(10). doi:<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>
  apa: Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel
    systems. <i>Communications in Contemporary Mathematics</i>, <i>25</i>(10), Article
    2250062. <a href="https://doi.org/10.1142/s0219199722500626">https://doi.org/10.1142/s0219199722500626</a>
  bibtex: '@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear
    Keller–Segel systems}, volume={25}, DOI={<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>},
    number={102250062}, journal={Communications in Contemporary Mathematics}, publisher={World
    Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }'
  chicago: Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel
    Systems.” <i>Communications in Contemporary Mathematics</i> 25, no. 10 (2022).
    <a href="https://doi.org/10.1142/s0219199722500626">https://doi.org/10.1142/s0219199722500626</a>.
  ieee: 'M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,”
    <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, Art. no. 2250062,
    2022, doi: <a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>.'
  mla: Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel
    Systems.” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10,
    2250062, World Scientific Pub Co Pte Ltd, 2022, doi:<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>.
  short: M. Winkler, Communications in Contemporary Mathematics 25 (2022).
date_created: 2025-12-18T19:17:23Z
date_updated: 2025-12-18T20:12:13Z
doi: 10.1142/s0219199722500626
intvolume: '        25'
issue: '10'
language:
- iso: eng
publication: Communications in Contemporary Mathematics
publication_identifier:
  issn:
  - 0219-1997
  - 1793-6683
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems
type: journal_article
user_id: '31496'
volume: 25
year: '2022'
...