Boundedness in a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source

Title:

Boundedness in a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source

Creator:

Liu, Ji and Zheng, Jia-Shan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:fdb6497c-f644-4a6a-bed4-d8e88eef62fb
uuid:fdb6497c-f644-4a6a-bed4-d8e88eef62fb
issn:0011-4642

Subject:

matematika, mathematics, boundedness, chemotaxis, nonlinear logistic source, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

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)., Ji Liu, Jia-Shan Zheng., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1117-1136

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:4

Harvested from:

CDK

Metadata only:

false