| Title:
|
Boundedness in a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source (English) |
| Author:
|
Liu, Ji |
| Author:
|
Zheng, Jia-Shan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
65 |
| Issue:
|
4 |
| Year:
|
2015 |
| Pages:
|
1117-1136 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source, under homogeneous Neumann boundary conditions in a smooth bounded domain. By establishing proper a priori estimates we prove that, with both the diffusion function and the chemotaxis sensitivity function being positive, the corresponding initial boundary value problem admits a unique global classical solution which is uniformly bounded. The result of this paper is a generalization of that of Cao (2014). (English) |
| Keyword:
|
boundedness |
| Keyword:
|
chemotaxis |
| Keyword:
|
nonlinear logistic source |
| MSC:
|
35K59 |
| MSC:
|
92C17 |
| idZBL:
|
Zbl 06537714 |
| idMR:
|
MR3441339 |
| DOI:
|
10.1007/s10587-015-0231-0 |
| . |
| Date available:
|
2016-01-13T09:28:44Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144796 |
| . |
| Reference:
|
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| Reference:
|
[2] Cieślak, T., Stinner, C.: Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2.Acta Appl. Math. 129 (2014), 135-146. Zbl 1295.35123, MR 3152080, 10.1007/s10440-013-9832-5 |
| 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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| Reference:
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| . |
