Article ID Journal Published Year Pages File Type
4614594 Journal of Mathematical Analysis and Applications 2016 20 Pages PDF
Abstract

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 ε tends to 0.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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