Nonlinear diffusion in the Keller-Segel model of parabolic-parabolic type

DOI10.1016/J.JDE.2020.12.018zbMath1471.35069arXiv2007.11883OpenAlexW3118035173MaRDI QIDQ2219045

Xiangsheng Xu

Publication date: 19 January 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11883

zbMATH Keywords

global existenceKeller-Segel modelchemotaxis equationsnon-linear diffusion modeluniform gradient bounds

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

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