Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity

DOI10.3934/dcdsb.2022146zbMath1505.35041OpenAlexW4288082064MaRDI QIDQ2099187

Yanyan Li

Publication date: 23 November 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022146

zbMATH Keywords

asymptotic behaviortraveling wave solutionsinvariant manifoldgeometric singular perturbationKeller-Segel modelHopf-Cole transformation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations of ordinary differential equations (34D15) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Traveling wave solutions (35C07) Quasilinear parabolic equations (35K59)

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