Asymptotic Behavior of Solutions to the One-dimensional Keller-Segel System with Small Chemotaxis

被引：0

作者：

Yahagi, Yumi ^{[1
]}

机构：

[1] Tokyo Univ Informat Sci, Fac Informat, Wakaba Ku, 1 Onaridai, Chiba 2658501, Japan

来源：

TOKYO JOURNAL OF MATHEMATICS | 2018年 / 41卷 / 01期

关键词：

Keller-Segel system; Neumann boundary condition; asymptotic behavior; MODELS;

D O I：

10.3836/tjm/1502179267

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the one-dimensional Keller-Segel system defined on a bounded interval with the Neumann boundary conditions is considered. The system describes the phenomenon such that the cellular slime molds form an aggregation by the chemotaxis movement. In the case of small chemotaxis, the asymptotic behavior of solutions to the system are analyzed, as the time development, by using the Fourier series. Some of numerical examples are also given.

引用

页码：175 / 191

页数：17

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