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

页码：261 / 271

页数：11

共 50 条

[1] Blow-up for a degenerate parabolic equation with nonlocal source and nonlocal boundary
Mu, Chunlai
Liu, Dengming
Mi, Yongsheng
APPLICABLE ANALYSIS, 2011, 90 (09) : 1373 - 1389
[2] Blow-up in a degenerate parabolic equation
Winkler, M
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2004, 53 (05) : 1415 - 1442
[3] Blow-up for a degenerate and singular parabolic equation with nonlocal boundary condition
Liu, Dengming
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (01): : 208 - 218
[4] Blow-up and global existence for a coupled system of degenerate parabolic equations in a bounded domain
Mu Chunlai
Hu Xuegang
Li Yuhuan
Cui Zejian
ACTA MATHEMATICA SCIENTIA, 2007, 27 (01) : 92 - 106
[5] BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN
穆春来
胡学刚
李玉环
崔泽键
Acta Mathematica Scientia, 2007, (01) : 92 - 106
[6] Blow-Up for a Class of Parabolic Equations with Nonlinear Boundary Conditions
Zhao, Leina
ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I, 2011, 6675 : 222 - 230
[7] A NOTE ON CRITICAL POINT AND BLOW-UP RATES FOR SINGULAR AND DEGENERATE PARABOLIC EQUATIONS
Liu, B.
Li, F.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (05) : 1195 - 1205
[8] Blow-up for a degenerate parabolic equation with a nonlocal source
Liu, QL
Chen, YP
Xie, CH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 285 (02) : 487 - 505
[9] Blow-up for a degenerate parabolic equation with a nonlocal source
Peng, Congming
Yang, Zuodong
APPLIED MATHEMATICS AND COMPUTATION, 2008, 201 (1-2) : 250 - 259
[10] Blow-up for a double degenerate quasilinear parabolic equation
Peng, Congming
Yang, Zuodong
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (10) : 2314 - 2324

← 1 2 3 4 5 →