On the existence of transition layers of spike type in reaction-diffusion-convection equations

被引：0
|
作者：
Schneider, KR
Vasil'eva, AB
机构：
[1] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany
[2] Moscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 119899, Russia
来源：
ASYMPTOTIC ANALYSIS | 2001年 / 25卷 / 3-4期
关键词：
reaction-diffusion-convection equations; contrast structures of spike type; singular perturbations; asymptotic expansions; boundary layer functions; integral manifolds;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate steady state solutions to a class of systems of reaction-diffusion-convection equations with small diffusion and small convection in case of a scalar spatial variable. Our main concern is to prove the existence of a solution with an interior layer of spike type for higher order systems without taking into consideration the influence of boundary conditions. To this end we combine two methods of the theory of singular perturbations: the method of integral manifolds and the method of boundary layer functions.
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页码：183 / 199
页数：17
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