Well-posedness and non-uniform dependence for the hyperbolic Keller-Segel equation in the Besov framework

DOI10.1016/j.jde.2021.09.006zbMath1475.35370OpenAlexW3199671592MaRDI QIDQ2232198

Shouming Zhou, Simin Zhang, Chun-Lai Mu

Publication date: 4 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.jde.2021.09.006

zbMATH Keywords

local well-posednessnonuniform continuityhyperbolic model of chemotaxis

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

On the initial value problem for the hyperbolic Keller-Segel equations in Besov spaces ⋮ The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model ⋮ Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces

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