Asymptotic Analysis of a Micropolar Fluid Flow in Thin Domain with a Free and Rough Boundary

Abstract

Abstract. Motivated by lubrication problems, we consider a micropolar fluid flow in a 2D domain with a rough and free boundary. We assume that the thickness and the roughness are both of order 0 < ε << 1. We prove the existence and uniqueness of a solution of this problem for any value of ε and we establish some a priori estimates. Then we use the two-scale… (More)

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Cite this paper

@inproceedings{Boukrouche2013AsymptoticAO, title={Asymptotic Analysis of a Micropolar Fluid Flow in Thin Domain with a Free and Rough Boundary}, author={Mahdi Boukrouche and Laetitia Paoli}, year={2013} }