Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation

被引：52

作者：

Nakaguchi, E. ^{[1
]}

Osaki, K. ^{[2
]}

机构：

[1] Tokyo Med & Dent Univ, Coll Liberal Arts & Sci, Chiba 2720827, Japan

[2] Kwansei Gakuin Univ, Sch Sci & Technol, Dept Math Sci, Sanda 6691337, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 01期

关键词：

Chemotaxis; Logistic source; Parabolic-parabolic system; Global existence; GROWTH SYSTEM; BLOW-UP; MODEL; PREVENTION; DYNAMICS; PATTERNS;

D O I：

10.1016/j.na.2010.08.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the global existence of solutions to a parabolic-parabolic system for chemotaxis with a logistic source in a two-dimensional domain, where the degradation order of the logistic source is weaker than quadratic. We introduce nonlinear production of a chemoattractant, and show the global existence of solutions under certain relations between the degradation and production orders. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：286 / 297

页数：12

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