Blowup for degenerate and singular parabolic system with nonlocal source

被引：35

作者：

Zhou, Jun ^{[1
]}

Mu, Chunlai ^{[1
]}

Li, Zhongping ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2006年 / 2006卷 / 1期

关键词：

D O I：

10.1155/BVP/2006/21830

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution that exists globally or blows up in finite time are obtained. Furthermore, under certain conditions it is proved that the blowup set of the solution is the whole domain.

引用

页数：19

共 21 条

[11] LADDLE GS, 1985, MONOTONE ITERATIVE T
[12] Ladyzenskaja O. A., 1967, TRANSLATIONS MATH MO, V23
[13] McLachlan Norman William, 1955, BESSEL FUNCTIONS ENG
[14] CHANNEL FLOW WITH TEMPERATURE-DEPENDENT VISCOSITY AND INTERNAL VISCOUS DISSIPATION
OCKENDON, H
[J]. JOURNAL OF FLUID MECHANICS, 1979, 93 (AUG) : 737 - 746
[15] Pao C.V., 1992, NONLINEAR PARABOLIC, DOI DOI 10.1007/978-1-4615-3034-3
[16] THE CRITICAL EXPONENT OF DEGENERATE PARABOLIC-SYSTEMS
QI, YW
LEVINE, HA
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1993, 44 (02): : 249 - 265
[17] SAMARSKII AA, 1987, BLOW UP QUSILINEAR P
[18] Blow-up in nonlocal reaction-diffusion equations
Souplet, P
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1998, 29 (06) : 1301 - 1334
[19] Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
Souplet, P
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 153 (02) : 374 - 406
[20] Wang MX, 1996, MATH METHOD APPL SCI, V19, P1141, DOI 10.1002/(SICI)1099-1476(19960925)19:14<1141::AID-MMA811>3.0.CO

← 1 2 3 →