| Title:
|
Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system (English) |
| Author:
|
Chiyo, Yutaro |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2023 |
| Pages:
|
163-171 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
chemotaxis |
| Keyword:
|
quasilinear |
| Keyword:
|
attraction-repulsion |
| Keyword:
|
stabilization |
| MSC:
|
35B40 |
| MSC:
|
35K59 |
| MSC:
|
92C17 |
| idZBL:
|
Zbl 07675586 |
| idMR:
|
MR4563028 |
| DOI:
|
10.5817/AM2023-2-163 |
| . |
| Date available:
|
2023-02-22T14:41:19Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151563 |
| . |
| Reference:
|
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| Reference:
|
[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. MR 4299101 |
| Reference:
|
[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. |
| Reference:
|
[4] Chiyo, Y., Yokota, T.: Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic elliptic attraction-repulsion chemotaxis system.Z. Angew. Math. Phys. 73 (2) (2022), 27 pp., Paper No. 61. MR 4386024, 10.1007/s00033-022-01695-y |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
