Global dynamics of a reaction-diffusion system with mass conservation

被引：17

作者：

Latos, Evangelos ^{[1
]}

Suzuki, Takashi ^{[2
]}

机构：

[1] Graz Univ, Inst Math & Sci Comp, A-8010 Graz, Austria

[2] Osaka Univ, Grad Sch Engn Sci, Dept Syst Innovat, Div Math Sci, Toyonaka, Osaka 5608531, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 411卷 / 01期

关键词：

Global dynamics; Chemical reaction-diffusion system; Fix-Caginalp equation; Total mass conservation system; STATIONARY SOLUTIONS; ASYMPTOTIC-BEHAVIOR; STEADY-STATE; STABILITY; MODEL;

D O I：

10.1016/j.jmaa.2013.09.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study global dynamics of a mass conserved reaction-diffusion system. First, we show the global-in-time existence of the solution with compact orbit. Then the dynamical stability of local minima associated with a variational function is proven. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：107 / 118

页数：12

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