Initial-boundary layer associated with the nonlinear Darcy-Brinkman system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:256

Article

Han, Daozhi¹  Wang, Xiaoming¹ 

[1] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

关键词: Initial layer;    Boundary layer;    Initial-boundary layer;    Vanishing Darcy number limit;    Darcy-Brinkman system;    Multiple scale expansion;   

DOI  :  10.1016/j.jde.2013.09.014

来源: Elsevier

【 摘 要 】

We study the interaction of initial layer and boundary layer in the nonlinear Darcy-Brinkman system in the vanishing Darcy number limit. In particular, we show the existence of a function of corner layer type (so-called initial boundary layer) in the solution of the nonlinear Darcy-Brinkman system. An approximate solution is constructed by the method of multiple scale expansion in space and in time. We establish the optimal convergence rates in various Sobolev norms via energy method. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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