Stability of constant steady states of a chemotaxis model

Autor:	Cygan, Szymon, Karch, Grzegorz, Krawczyk, Krzysztof, Wakui, Hiroshi
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs 35B35 and 35B40 and 35K15 and 35K55 and 35K92 and 35B35 35B40 35K15 35K55 35K92 92C17
Druh dokumentu:	Working Paper
Popis:	The Cauchy problem for the parabolic--elliptic Keller--Segel system in the whole $n$-dimensional space is studied. For this model, every constant $A \in \mathbb{R}$ is a stationary solution. The main goal of this work is to show that $A < 1$ is a stable steady state while $A > 1$ is unstable. Uniformly local Lebesgue spaces are used in order to deal with solutions that do not decay at spatial variable on the unbounded domain. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.01467 Zobrazit plný text záznamu View this record from Arxiv