The blow-up for weakly coupled reaction-diffusion systems

被引:18
|
作者
Wang, LW [1 ]
机构
[1] Univ Louisiana, Dept Math, Lafayette, LA 70504 USA
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
  • [21] Blow-up results for some reaction-diffusion equations with time delay
    Wang, Hongliang
    Chen, Yujuan
    Lu, Haihua
    ANNALES POLONICI MATHEMATICI, 2012, 105 (01) : 21 - 29
  • [22] Finite time blow-up for a reaction-diffusion system in bounded domain
    Bai, Xueli
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2014, 65 (01): : 135 - 138
  • [23] Note on non-simultaneous blow-up for a reaction-diffusion system
    Du, Lili
    Yao, Zheng-an
    APPLIED MATHEMATICS LETTERS, 2008, 21 (01) : 81 - 85
  • [24] Blow-up solutions to the Cauchy problem of a fractional reaction-diffusion system
    Wu, Ezi
    Tang, Yanbin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [25] Blow-up for a degenerate reaction-diffusion system with nonlinear localized sources
    Du, Lili
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) : 304 - 320
  • [26] 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
  • [27] Blow-up solutions to the Cauchy problem of a fractional reaction-diffusion system
    Ezi Wu
    Yanbin Tang
    Journal of Inequalities and Applications, 2015
  • [28] Blow-up phenomena of semilinear wave equations and their weakly coupled systems
    Ikeda, Masahiro
    Sobajima, Motohiro
    Wakasa, Kyouhei
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (09) : 5165 - 5201
  • [29] Blow-up and global solutions for a class of time fractional nonlinear reaction-diffusion equation with weakly spatial source
    Cao, Jianxiong
    Song, Guojie
    Wang, Jie
    Shi, Qihong
    Sun, Sujing
    APPLIED MATHEMATICS LETTERS, 2019, 91 : 201 - 206
  • [30] Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions
    Marras, Monica
    Piro, Stella Vernier
    BOUNDARY VALUE PROBLEMS, 2017,