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

共 50 条

[1] GLOBAL DYNAMICS OF A REACTION-DIFFUSION SYSTEM
You, Yuncheng
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[2] Perturbations and dynamics of reaction-diffusion systems with mass conservation
Kuwamura, Masataka
Morita, Yoshihisa
PHYSICAL REVIEW E, 2015, 92 (01):
[3] SPIKE SOLUTIONS FOR A MASS CONSERVATION REACTION-DIFFUSION SYSTEM
Ei, Shin-Ichiro
Tzeng, Shyuh-Yaur
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (06) : 3357 - 3374
[4] Hopf bifurcation in a reaction-diffusion system with conservation of mass
Sakamoto, Takashi Okuda
NONLINEARITY, 2013, 26 (07) : 2027 - 2049
[5] Stability and Spectral Comparison of a Reaction-Diffusion System with Mass Conservation
Latos, Evangelos
Morita, Yoshihisa
Suzuki, Takashi
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2018, 30 (02) : 823 - 844
[6] On the dynamics of a reaction-diffusion system
Adomian, G
APPLIED MATHEMATICS AND COMPUTATION, 1997, 81 (01) : 93 - 95
[7] On the dynamics of a reaction-diffusion system
Appl Math Comput (New York), 1 (93):
[8] GLOBAL DYNAMICS OF AN AUTOCATALYTIC REACTION-DIFFUSION SYSTEM WITH FUNCTIONAL RESPONSE
You, Yuncheng
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2011, 1 (01): : 121 - 142
[9] Stability and bifurcation of nonconstant solutions to a reaction-diffusion system with conservation of mass
Morita, Yoshihisa
Ogawa, Toshiyuki
NONLINEARITY, 2010, 23 (06) : 1387 - 1411
[10] Lyapunov function and spectrum comparison for a reaction-diffusion system with mass conservation
Jimbo, Shuichi
Morita, Yoshihisa
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (07) : 1657 - 1683

← 1 2 3 4 5 →