Stability of multiple boundary layers for 2D quasilinear parabolic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:435

Article

Tong, Lining¹  Wang, Jing² 

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

关键词: Two-point boundary value problem;    Multiple boundary layers;    Matched asymptotic analysis;    Energy estimates;    Zero-viscosity limit;   

DOI  :  10.1016/j.jmaa.2015.10.030

来源: Elsevier

【 摘 要 】

A parabolic system with small viscosity is considered in a two dimensional channel. With the help of discussions on suitable boundary conditions of the corresponding hyperbolic equations on both sides of the channel, the existence and stability of multiple boundary layers are proved by using the matched asymptotic analysis and energy estimates. The results therefore consequently justify the zero viscosity limit when epsilon tends to 0. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free