Interface development and local solutions to reaction-diffusion equations

被引：13
|
作者：
Abdulla, UG
King, JR
机构：
[1] Baku State Univ, Fac Appl Math & Cybernet, Baku 370148, Azerbaijan
[2] Univ Nottingham, Sch Math Sci, Dept Theoret Mech, Nottingham NG7 2RD, England
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2000年 / 32卷 / 02期
关键词：
reaction-diffusion equations; evolution of interfaces; nonlinear degenerate parabolic equations; local solutions;
D O I：
10.1137/S003614109732986X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The evolution of interfaces and the local behavior of solutions near the interface in problems for one-dimensional reaction-diffusion equations are studied. In all cases explicit formulae for the interface, with accuracy up to constant coefficients, are found together with the local solution. The methods used are matched asymptotic expansions for preliminary formal results, and rescaling and a barrier technique for rigorous proof, using special comparison theorems in irregular domains.
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页码：235 / 260
页数：26
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