Large Self-Similar Solutions of the Parabolic-Elliptic Keller-Segel Model

被引：0

作者：

Biler, Piotr ^{[1
]}

Karch, Grzegorz ^{[1
]}

Wakui, Hiroshi ^{[1
,2
]}

机构：

[1] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

[2] Fac Engn, Div Engn, Appl Phys, 3-9-1 Bunkyo, Fukui, Fukui 9108507, Japan

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2023年 / 72卷 / 03期

关键词：

Self-similar solutions; parabolic-elliptic Keller-Segel system; RADIALLY SYMMETRIC-SOLUTIONS; ASYMPTOTIC-BEHAVIOR; CHEMOTAXIS MODEL; INITIAL DATA; SYSTEM; BLOWUP; UNIQUENESS; EXISTENCE; 8-PI-PROBLEM; LAGUERRE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct radial self-similar solutions of the so-called minimal parabolic-elliptic Keller-Segel model in several space dimensions with radial, nonnegative initial conditions which are below the Chandrasekhar solution-the singular stationary solution of this system.

引用

页码：1027 / 1054

页数：28

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