Blow-up analysis for a quasilinear parabolic system with multi-coupled nonlinearities

被引：20

作者：

Song, XF ^{[1
]}

Zheng, SN ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 281卷 / 02期

基金：

中国国家自然科学基金;

关键词：

quasilinear parabolic system; multi-coupled nonlinearities; blow-up; global existence;

D O I：

10.1016/S0022-247X(03)00256-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a quasilinear parabolic system coupled via both nonlinear reaction terms and nonlinear boundary flux. As the results of the interaction among the multi-coupled nonlinearities in the system, some appropriate conditions for global existence and global nonexistence of solutions are determined respectively. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：739 / 756

页数：18

共 32 条

[1] PARABOLIC EVOLUTION-EQUATIONS AND NONLINEAR BOUNDARY-CONDITIONS
AMANN, H
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 72 (02) : 201 - 269
[2] Global solvability of nonlinear diffusion equations with forcing at the boundary
Anderson, JR
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 207 (02) : 515 - 535
[3] ARONSON DG, 1987, ARCH RATIONAL MECH A, V99, P323
[4] ON THE EXISTENCE AND NONEXISTENCE OF GLOBAL-SOLUTIONS OF REACTION-DIFFUSION EQUATIONS IN SECTORIAL DOMAINS
BANDLE, C
LEVINE, HA
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 316 (02) : 595 - 622
[5] A new free boundary problem for unsteady flows in porous media
Barenblatt, GI
Vazquez, JL
[J]. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 1998, 9 : 37 - 54
[6] COURANT R, 1962, METHODS MATH PHYSICS, V2
[7] DAHLBERG BEJ, 1993, T AM MATH SOC, V336, P711, DOI 10.2307/2154372
[8] Regularity of the free boundary for the porous medium equation
Daskalopoulos, P
Hamilton, R
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 11 (04) : 899 - 965
[9] Daskalopoulos P., 1995, COMMUN ANAL GEOM, V3, P523, DOI DOI 10.4310/CAG.1995.V3.N3.A5
[10] Dibenedetto E, 1993, DEGENERATE PARABOLIC, DOI DOI 10.1007/978-1-4612-0895-2

← 1 2 3 4 →