EXISTENCE OF BLOW-UP SOLUTIONS FOR A DEGENERATE PARABOLIC-ELLIPTIC KELLER-SEGEL SYSTEM WITH LOGISTIC SOURCE

被引：2

作者：

Tanaka, Yuya ^{[1
]}

机构：

[1] 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：

degenerate Keller-Segel system; logistic source;

D O I：

10.5817/AM2023-2-223

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic-elliptic Keller-Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jager-Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller-Segel system with logistic source.

引用

页码：223 / 230

页数：8

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