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
收藏
页码：227 / 243
页数：17
相关论文
共 31 条
[1]  
ABRAMOWITZ M, 1965, HDB MATH FUNCTIONS, P362
[2]  
AMES WF, 1965, NONLINEAR PARTIAL DI, V1, P4
[3]  
ARONSON DG, 1988, NONLINEAR DIFFUSION, V1, P35
[4]  
BABU BK, 1979, Q APPL MATH, V37, P11
[5]  
Barenblatt G, 1979, SIMILARITY SELF SIMI
[6]  
Bender C. M., 1999, ADV MATH METHODS SCI, VI
[7]   THE LUBRICATION APPROXIMATION FOR THIN VISCOUS FILMS - THE MOVING CONTACT LINE WITH A POROUS-MEDIA CUTOFF OF VAN-DER-WAALS INTERACTIONS [J].
BERTOZZI, AL ;
PUGH, M .
NONLINEARITY, 1994, 7 (06) :1535-1564
[8]  
BERTOZZI AL, 1995, UNPUB SIAM J APPL MA
[9]  
BERTOZZI AL, 1994, TRENDS PERSPECTIVES
[10]  
BERTOZZI AL, 1995, UNPUB COMMUN PURE AP
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