The asymptotic behavior of blowup solution of localized nonlinear equation

被引：36

作者：

Wang, LW

Chen, QY

机构：

[1] Department of Mathematics, Huazhong Univ. of Sci./Technol.

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 200卷 / 02期

关键词：

D O I：

10.1006/jmaa.1996.0207

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are concerned with the growth rate of blowup solution to the equation u(t)(x,t)-u(xx)(x,t)=u(p)(0,t), (x,t)is an element of(-l,l)x(0,T). Using self-similar solution technique and comparison method, we obtain the growth rate of blowup solution and observe that the boundary-layer phenomena occurs. (C) 1996 Academic Press, Inc.

引用

页码：315 / 321

页数：7

共 6 条

[1]

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

[2] THE BLOWUP PROPERTY OF SOLUTIONS TO SOME DIFFUSION-EQUATIONS WITH LOCALIZED NONLINEAR REACTIONS [J].