Contrast Structures in Problems for a Stationary Equation of Reaction-Diffusion-Advection Type with Discontinuous Nonlinearity

被引：13

作者：

Pan, Yafei ^{[1
]}

Ni, Mingkang ^{[1
]}

Davydova, M. A. ^{[2
]}

机构：

[1] East China Normal Univ, Shanghai 200241, Peoples R China

[2] Lomonosov Moscow State Univ, Moscow 119991, Russia

来源：

MATHEMATICAL NOTES | 2018年 / 104卷 / 5-6期

基金：

俄罗斯基础研究基金会; 中国国家自然科学基金;

关键词：

problem of reaction-diffusion-advection type; internal transition layer; asymptotic methods; problems with discontinuous nonlinearity; EXISTENCE; STABILITY;

D O I：

10.1134/S0001434618110159

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A singularly perturbed boundary-value problem for a nonlinear stationary equation of reaction-diffusion-advection type is studied. A new class of problems with discontinuous advective and reactive terms is considered. The existence of contrast structures in problems of this type is proved, and an asymptotic approximation of the solution with an internal transition layer of arbitrary order of accuracy is obtained.

引用

页码：735 / 744

页数：10

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