Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem

被引：0
作者：
N. N. Nefedov
E. I. Nikulin
机构：
[1] Moscow State University,Department of Physics, Department of Mathematics
来源：
Russian Journal of Mathematical Physics | 2015年 / 22卷
关键词：
Mathematical Physic; Periodic Solution; Asymptotic Expansion; Asymptotic Method; Lower Solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A singularly perturbed periodic problem for a parabolic reaction-advection-diffusion equation at low advection is studied. The case when there is an internal transition layer under unbalanced nonlinearity is considered. An asymptotic expansion of a solution is constructed. To substantiate the asymptotics thus constructed, the asymptotic method of differential inequalities is used. The Lyapunov asymptotic stability of a periodic solution is studied; the proof uses the Krein-Rutman theorem.
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页码：215 / 226
页数：11
相关论文
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[9]  
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