The blow-up for weakly coupled reaction-diffusion systems

被引：19
|
作者：
Wang, LW [1 ]
机构：
[1] Univ Louisiana, Dept Math, Lafayette, LA 70504 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 01期
关键词：
blow-up; weakly coupled reaction-diffusion system;
D O I：
10.1090/S0002-9939-00-05860-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a weakly coupled parabolic system with nonnegative exponents in the forcing functions. We find the conditions which result in blow-up in finite time. Also, we obtain the blow-up rate.
引用
收藏
页码：89 / 95
页数：7
相关论文
共 50 条
  • [41] Non-Simultaneous Blow-Up for a Reaction-Diffusion System with Absorption and Coupled Boundary Flux
    Zhou, Jun
    Mu, Chunlai
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (45) : 1 - 10
  • [42] BLOW-UP PATTERNS FOR A REACTION-DIFFUSION EQUATION WITH WEIGHTED REACTION IN GENERAL DIMENSION
    Iagar, Razvan Gabriel
    Latorre, Marta
    Sanchez, Ariel
    ADVANCES IN DIFFERENTIAL EQUATIONS, 2024, 29 (7-8) : 515 - 574
  • [43] Blow-up solutions for localized reaction-diffusion equations with variable exponents
    Liu, Bingchen
    Li, Fengjie
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (14) : 1778 - 1788
  • [44] Uniform blow-up profiles for nonlinear and nonlocal reaction-diffusion equations
    Liu, Qilin
    Chen, Yichao
    Lu, Shengqi
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1572 - 1583
  • [45] Global existence and blow-up to a reaction-diffusion system with nonlinear memory
    Du, LL
    Mu, CL
    Xiang, ZY
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2005, 4 (04) : 721 - 733
  • [46] Numerical blow-up time and growth rate of a reaction-diffusion equation
    Rasheed, Maan A.
    Ghaffoori, Faez N.
    Italian Journal of Pure and Applied Mathematics, 2020, 44 : 805 - 813
  • [47] Blow-up analysis for a reaction-diffusion equation with gradient absorption terms
    Liang, Mengyang
    Fang, Zhong Bo
    Yi, Su-Cheol
    AIMS MATHEMATICS, 2021, 6 (12): : 13774 - 13796
  • [48] Blow-up rate estimates for a system of reaction-diffusion equations with absorption
    Xiang, Zhaoyin
    Chen, Qiong
    Mu, Chunlai
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (04) : 779 - 786
  • [49] Blow-up solutions to the Cauchy problem of a fractional reaction-diffusion system
    Ezi Wu
    Yanbin Tang
    Journal of Inequalities and Applications, 2015
  • [50] Numerical blow-up time and growth rate of a reaction-diffusion equation
    Rasheed, Maan A.
    Ghaffoori, Faez N.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 805 - 813
12345