STABILIZATION IN DEGENERATE PARABOLIC EQUATIONS IN DIVERGENCE FORM AND APPLICATION TO CHEMOTAXIS SYSTEMS

被引：0

作者：

Ishida, Sachiko ^{[1
]}

Yokota, Tomomi ^{[2
]}

机构：

[1] Chiba Univ, Grad Sch Sci, Dept Math & Informat, 1-33 Yayoi Cho, Chiba 2638522, Japan

[2] Tokyo Univ Sci, Dept Math, 1-3 Kagurazaka,Shinjuku Ku, Tokyo 1628601, Japan

来源：

ARCHIVUM MATHEMATICUM | 2023年 / 59卷 / 02期

关键词：

stabilization; degenerate diffusion; Keller-Segel systems; KELLER-SEGEL SYSTEM; TIME BLOW-UP; BOUNDEDNESS;

D O I：

10.5817/AM2023-2-181

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.

引用

页码：181 / 189

页数：9

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