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
收藏
页码：107 / 118
页数：12
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