Global weak solution in a p-Laplacian Keller–Segel system with nonlinear sensitivity and saturation effect

This paper deals with a p-Laplacian Keller–Segel chemotaxis system with nonlinear sensitivity and saturation effect under homogeneous Neumann boundary conditions in a smooth bounded domain. Under some suitable assumptions on these parameters and the initial data, we derive the uniform-in-time bounde...

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Bibliographic Details
Published in:Journal of mathematical physics 2021-12, Vol.62 (12)
Main Author: Zheng, Pan
Format: Article
Language:English
Subjects:
Boundary conditions
Physics
Saturation
Sensitivity
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Summary:This paper deals with a p-Laplacian Keller–Segel chemotaxis system with nonlinear sensitivity and saturation effect under homogeneous Neumann boundary conditions in a smooth bounded domain. Under some suitable assumptions on these parameters and the initial data, we derive the uniform-in-time boundedness of global weak solutions for the system.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0056342