STOPPING AND MERGING PROBLEMS FOR THE POROUS-MEDIA EQUATION

被引：18

作者：

WITELSKI, TP

机构：

[1] Department of Applied Mathematics, 217-50 California Institute of Technology, Pasadena

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 1995年 / 54卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1093/imamat/54.3.227

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of boundary value problems for nonlinear diffusion equations is studied. Using singular perturbation theory and matched asymptotic expansions, the author analyses the interactions of compact-support solutions of the porous media equation with fixed boundaries and with other solutions. The boundary layer analysis yields results on how 'stopping' and 'merging' disturbances at the interface propagate back into the solution. Analysis is also extended to cover merging problems for the fourth-order lubrication equation.

引用

页码：227 / 243

页数：17