Title

Initial-Boundary Layer Associated with the Nonlinear Darcy-Brinkman System

Abstract

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.

Department(s)

Mathematics and Statistics

Comments

Supported in part by the National Science Foundation, a COFRA award from FSU, and a 111 project from the Chinese Ministry of Education at Fudan University.

Keywords and Phrases

Boundary layer; Darcy-Brinkman system; Initial layer; Initial-boundary layer; Multiple scale expansion; Vanishing darcy number limit

International Standard Serial Number (ISSN)

0022-0396

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2014 Elsevier, All rights reserved.

Publication Date

01 Jan 2014

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