Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system

Yutaro Chiyo

Archivum Mathematicum (2023)

  • Issue: 2, page 163-171
  • ISSN: 0044-8753

Abstract

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This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been proved. The purpose of this paper is to derive boundedness and stabilization in the parabolic-parabolic-elliptic version.

How to cite

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Chiyo, Yutaro. "Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system." Archivum Mathematicum (2023): 163-171. <http://eudml.org/doc/298982>.

@article{Chiyo2023,
abstract = {This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been proved. The purpose of this paper is to derive boundedness and stabilization in the parabolic-parabolic-elliptic version.},
author = {Chiyo, Yutaro},
journal = {Archivum Mathematicum},
keywords = {chemotaxis; quasilinear; attraction-repulsion; stabilization},
language = {eng},
number = {2},
pages = {163-171},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system},
url = {http://eudml.org/doc/298982},
year = {2023},
}

TY - JOUR
AU - Chiyo, Yutaro
TI - Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system
JO - Archivum Mathematicum
PY - 2023
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
IS - 2
SP - 163
EP - 171
AB - This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been proved. The purpose of this paper is to derive boundedness and stabilization in the parabolic-parabolic-elliptic version.
LA - eng
KW - chemotaxis; quasilinear; attraction-repulsion; stabilization
UR - http://eudml.org/doc/298982
ER -

References

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  1. Chiyo, Y., Stabilization for small mass in a quasilinear parabolic-elliptic-elliptic attraction-repulsion chemotaxis system with density-dependent sensitivity: repulsion-dominant case, Adv. Math. Sci. Appl. 31 (2) (2022), 327–341. (2022) MR4521442
  2. Chiyo, Y., Marras, M., Tanaka, Y., Yokota, T., Blow-up phenomena in a parabolic-elliptic-elliptic attraction-repulsion chemotaxis system with superlinear logistic degradation, Nonlinear Anal. 212 (2021), 14 pp., Paper No. 112550. (2021) MR4299101
  3. Chiyo, Y., Yokota, T., Stabilization for small mass in a quasilinear parabolic-elliptic-elliptic attraction-repulsion chemotaxis system with density-dependent sensitivity: balanced case, Matematiche (Catania), to appear. 
  4. Chiyo, Y., Yokota, T., 10.1007/s00033-022-01695-y, Z. Angew. Math. Phys. 73 (2) (2022), 27 pp., Paper No. 61. (2022) MR4386024DOI10.1007/s00033-022-01695-y
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