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)

Some problems connected with Navier-Stokes equations. Lectures at the IV TH Latin-American School of Mathematics

J. L. Lions

1978

Highly Influential

3 Excerpts

Effects of chemical reaction on MHD free convection and mass transfer flow of a micropolar fluid with oscillatory plate velocity and constant heat source in a rotating frame of reference

A. A. Bakr

Commun. Nonlinear Sci. Numer. Simul. 16, no. 2

2011

1 Excerpt

On regularity criteria for the 3D magneto-micropolar fluid equations in the critical Morrey-Campanato space

G. Jinbo, C. Xiaochun, G. Sadek

Commun. Pure Appl. Anal. 10, no. 2

2011

1 Excerpt

A micropolar fluid model of blood flow through a tapered artery with a stenosis

@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}
}