Semidiscretization in space of nonlinear degenerate parabolic equations with blow-up of the solutions

被引：0

作者：

Ishiwata, T ^{[1
]}

Tsutsumi, M ^{[1
]}

机构：

[1] Waseda Univ, Dept Appl Phys, Tokyo 169, Japan

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2000年 / 18卷 / 06期

关键词：

semi-discrete problem; blow-up of solutions; blow-up rate; blow-up set; limiting profile;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Semidiscretization in space of nonlinear degenerate parabolic equations of nondivergent form is presented, under zero Dirichlet boundary condition. It is shown that semidiscrete solutions blow up in finite time. In particular, the asymptotic behavior of blowing-up solutions, is discussed precisely.

引用

页码：571 / 586

页数：16

共 15 条

[1]

ANADA K, IN PRESS FUNKCIALAJ

[2]

ANGENENT S, 1991, J DIFFER GEOM, V33, P601

[3]

Chen Y.-G., 1986, J FS U TOKYO, V33, P541

[4]

Chen Y. G., 1992, Hokkaido Math. J., V21, P447