Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system
Archivum mathematicum, Tome 59 (2023) no. 2, pp. 163-171
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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.
DOI :
10.5817/AM2023-2-163
Classification :
35B40, 35K59, 92C17
Keywords: chemotaxis; quasilinear; attraction-repulsion; stabilization
Keywords: chemotaxis; quasilinear; attraction-repulsion; stabilization
@article{10_5817_AM2023_2_163,
author = {Chiyo, Yutaro},
title = {Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system},
journal = {Archivum mathematicum},
pages = {163--171},
publisher = {mathdoc},
volume = {59},
number = {2},
year = {2023},
doi = {10.5817/AM2023-2-163},
mrnumber = {4563028},
zbl = {07675586},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2023-2-163/}
}
TY - JOUR AU - Chiyo, Yutaro TI - Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system JO - Archivum mathematicum PY - 2023 SP - 163 EP - 171 VL - 59 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2023-2-163/ DO - 10.5817/AM2023-2-163 LA - en ID - 10_5817_AM2023_2_163 ER -
%0 Journal Article %A Chiyo, Yutaro %T Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system %J Archivum mathematicum %D 2023 %P 163-171 %V 59 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5817/AM2023-2-163/ %R 10.5817/AM2023-2-163 %G en %F 10_5817_AM2023_2_163
Chiyo, Yutaro. Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Archivum mathematicum, Tome 59 (2023) no. 2, pp. 163-171. doi: 10.5817/AM2023-2-163
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