ON EXPLOSIONS OF SOLUTIONS TO A SYSTEM OF PARTIAL-DIFFERENTIAL EQUATIONS MODELING CHEMOTAXIS

被引：693

作者：

JAGER, W ^{[1
]}

LUCKHAUS, S ^{[1
]}

机构：

[1] UNIV BONN,INST ANGEW MATH,W-5300 BONN 1,GERMANY

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 329卷 / 02期

关键词：

D O I：

10.2307/2153966

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A system of partial differential equations modelling chemotactic aggregation is analysed (Keller-Segel model). Conditions on the system of parameters are given implying global existence of smooth solutions. In two space dimensions and radially symmetric situations, explosion of the bacteria concentration in finite time is shown for a class of initial values.

引用

页码：819 / 824

页数：6

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