Long term dynamics of a reaction-diffusion system

被引：14

作者：

Arioli, Gianni ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 235卷 / 01期

关键词：

D O I：

10.1016/j.jde.2006.12.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a reaction-diffusion system of two parabolic differential equations describing the behavior of a nuclear reactor. We provide existence results for nontrivial periodic solutions, nonexistence results for stationary solutions and we prove that, depending on the value of the parameters, either the system admits a compact global attractor, or the solutions are unbounded. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：298 / 307

页数：10

共 50 条

[1] On the dynamics of a reaction-diffusion system
Adomian, G
APPLIED MATHEMATICS AND COMPUTATION, 1997, 81 (01) : 93 - 95
[2] On the dynamics of a reaction-diffusion system
Appl Math Comput (New York), 1 (93):
[3] On the dynamics of a discrete reaction-diffusion system
Azmy, Y.Y.
Protopopescu, V.
Numerical Methods for Partial Differential Equations, 1991, 7 (04) : 385 - 405
[4] DYNAMICS OF A COUPLED REACTION-DIFFUSION SYSTEM
ETLICHER, B
WILHELMSSON, H
PHYSICA SCRIPTA, 1990, 42 (01): : 81 - 84
[5] Pulse dynamics in a reaction-diffusion system
Ohta, T
PHYSICA D-NONLINEAR PHENOMENA, 2001, 151 (01) : 61 - 72
[6] GLOBAL DYNAMICS OF A REACTION-DIFFUSION SYSTEM
You, Yuncheng
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[7] Dynamics of a reaction-diffusion system of autocatalytic chemical reaction
Jiang, Jifa
Shi, Junping
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2008, 21 (01) : 245 - 258
[8] Pulse dynamics in an excitable reaction-diffusion system
Ohta, T
Ito, T
MACROMOLECULAR SYMPOSIA, 2000, 160 : 15 - 19
[9] PROPAGATION DYNAMICS OF A NONLOCAL REACTION-DIFFUSION SYSTEM
Han, Bang-sheng
Kong, De-yu
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2023, 43 (07) : 2756 - 2780
[10] Pattern dynamics of the reaction-diffusion immune system
Zheng, Qianqian
Shen, Jianwei
Wang, Zhijie
PLOS ONE, 2018, 13 (01):

← 1 2 3 4 5 →