Functions and Analysis

    

Global Stability for a System of Parabolic Conservation Laws Arising from a Keller-Segel Type Chemotaxis Model

Authors: Zefu Feng, Jiao Xu, Kun Zhao, Changjiang Zhu

In this paper, we investigate the time-asymptotically nonlinear stability to the initial-boundary value problem for a coupled system in (p, q) of parabolic conservation laws derived from a Keller-Segel type repulsive model for chemotaxis with singular sensitivity and nonlinear production rate of g(p) = p γ , where γ > 1. The proofs are based on basic energy method without any smallness assumption. We also show the zero chemical diffusion limit (ε → 0) of solutions in the case ¯p = 0.

Comments: 32 Pages.

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Submission history

[v1] 2020-07-23 12:33:26

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