Non-simultaneous blow-up in a semilinear parabolic system

被引：81
|
作者：
Quirós, F [1 ]
Rossi, JD
机构：
[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2001年 / 52卷 / 02期
关键词：
blow-up; semilinear parabolic system;
D O I：
10.1007/PL00001549
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the possibility of non-simultaneous blow-up for positive solutions of a fully coupled system of two semilinear heat equations, u(t) = Deltau + u(P11)nu (P12), nu (t) = Delta nu + u(P21)nu (P12). Under adequate hypotheses, we prove that if u blows UP then v can fail to blow up if and only if p(11) > 1 and p(21) < p(11) - 1.
引用
收藏
页码：342 / 346
页数：5
相关论文
共 50 条
  • [1] Non-simultaneous blow-up in a semilinear parabolic system
    F. Quirós
    J. D. Rossi
    [J]. Zeitschrift für angewandte Mathematik und Physik ZAMP, 2001, 52 : 342 - 346
  • [2] NON-SIMULTANEOUS BLOW-UP FOR A SEMILINEAR PARABOLIC SYSTEM WITH LOCALIZED REACTION TERMS
    Okada, Atsuko
    [J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2012, 4 (02): : 319 - 337
  • [3] Non-simultaneous blow-up in a nonlinear parabolic system
    Quirós, F
    Rossi, JD
    [J]. ADVANCED NONLINEAR STUDIES, 2003, 3 (03) : 397 - 418
  • [4] Complete Blow-up and Avalanche Formation for a Parabolic System with Non-Simultaneous Blow-up
    Braendle, Cristina
    Quiros, Fernando
    Rossi, Julio D.
    [J]. ADVANCED NONLINEAR STUDIES, 2010, 10 (03) : 659 - 679
  • [5] Non-simultaneous blow-up in a parabolic system with three components
    Liu, Bingchen
    Li, Fengjie
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (05) : 1813 - 1829
  • [6] Non-simultaneous blow-up in a numerical approximation of a parabolic system
    Groisman, Pablo
    Quiros, Fernando
    Rossi, Julio D.
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2002, 21 (03): : 813 - 831
  • [7] Critical exponents for non-simultaneous blow-up in a localized parabolic system
    Li, Fengjie
    Liu, Bingchen
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3452 - 3460
  • [8] Simultaneous and non-simultaneous blow-up for a cross-coupled parabolic system
    Zheng, Sining
    Liu, Bingchen
    Li, Fengjie
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (01) : 414 - 431
  • [9] Non-simultaneous blow-up for a quasilinear parabolic system with reaction at the boundary
    Brändle, C
    Quirós, F
    Rossi, JD
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2005, 4 (03) : 523 - 536
  • [10] Simultaneous Versus Non-simultaneous Blow-up to a Parabolic System with Weighted Localized Sources
    Kong, Linghua
    Zhao, Xueda
    [J]. INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND INFORMATION SCIENCES (ICCIS 2014), 2014, : 1177 - 1182
12345