Blow-up rates for degenerate parabolic equations coupled via equation and boundary

被引:2
作者
Xiang, Zhaoyin [1 ]
Chen, Qiong [2 ]
Mu, Chunlai [3 ]
机构
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[3] Chongqing Univ, Coll Math & Stat, Chongqing 400044, Peoples R China
来源
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2011年 / 26卷 / 03期
基金
中国博士后科学基金;
关键词
degenerate parabolic system; blow up; blow-up estimates; CRITICAL EXPONENTS; THEOREMS; SYSTEM; FLUX;
D O I
10.1080/14689367.2011.580333
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we consider a degenerate parabolic system coupled with an equation and a boundary condition. We get the sufficient condition and necessary conditions of the solutions blowing up in finite time. For blow-up solutions, we establish the precise blow-up estimates.
引用
收藏
页码:261 / 271
页数:11
相关论文
共 50 条
[41]   Global solutions and blow-up problems for a nonlinear degenerate parabolic system coupled via nonlocal sources [J].
Lu, Haihua ;
Wang, MingXin .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 333 (02) :984-1007
[42]   Blow-up and global existence for a nonlocal degenerate parabolic system [J].
Deng, WB ;
Li, YX ;
Xie, CH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (01) :199-217
[43]   Blow-up dynamics for the aggregation equation with degenerate diffusion [J].
Yao, Yao ;
Bertozzi, Andrea L. .
PHYSICA D-NONLINEAR PHENOMENA, 2013, 260 :77-89
[44]   Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions [J].
Quirós, F ;
Rossi, JD .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2001, 50 (01) :629-654
[45]   Blow-up behavior for a quasilinear parabolic equation with nonlinear boundary condition [J].
Guo, Jong-Shenq .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2007, 18 (01) :71-84
[46]   On the blow-up behavior of a nonlinear parabolic equation with periodic boundary conditions [J].
Jean C. Cortissoz .
Archiv der Mathematik, 2011, 97 :69-78
[47]   Blow-up estimates for system of heat equations coupled via nonlinear boundary flux [J].
Zhao, LZ ;
Zheng, SN .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (02) :251-259
[48]   Blow-up estimates for a semilinear coupled parabolic system [J].
Li, Gang ;
Fan, Ping ;
Zhu, Jiang .
APPLIED MATHEMATICS LETTERS, 2009, 22 (08) :1297-1302
[49]   BLOW-UP OF SOLUTIONS FOR A SYSTEM OF NONLINEAR PARABOLIC EQUATIONS [J].
Wu, Shun-Tang .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[50]   Global existence and blow-up to a class of degenerate parabolic equation with time dependent coefficients [J].
Xia, Anyin ;
Pu, Xianxiang ;
Li, Shan .
PROCEEDINGS OF THE 2015 4TH NATIONAL CONFERENCE ON ELECTRICAL, ELECTRONICS AND COMPUTER ENGINEERING ( NCEECE 2015), 2016, 47 :1592-1595