Coupled diffusion systems with localized nonlinear reactions

被引：21

作者：

Pedersen, M

Lin, ZG

机构：

[1] Tech Univ Denmark, Inst Math, DK-2800 Lyngby, Denmark

[2] Yangzhou Univ, Dept Math, Yangzhou 225001, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 42卷 / 6-7期

关键词：

diffusion equations; localized source; blowup behavior; boundary layer;

D O I：

10.1016/S0898-1221(01)00200-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the blowup rate and profile near the blowup time for the system of diffusion equations u(it)-Deltau(i) = u(i+1)(Pi) (x(0),t), (i = 1,...,k, u(k+1) := u(1)) in Omega x (0,T) with boundary conditions u(i) = 0 on partial derivative Omega x [0, T). We show that the solution has a global blowup. The exact rate of the blowup is obtained, and we also derive the estimate of the boundary layer and on the asymptotic behavior of the solution in the boundary layer. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：807 / 816

页数：10

共 33 条

[1]

BIMPONGB.K, 1974, J CHEM PHYS, V60, P3124, DOI 10.1063/1.1681498

[2] A CLASS OF NON-LINEAR NON-CLASSICAL PARABOLIC EQUATIONS [J].