Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Some Notes About the Homogenization Problem for the Navier-Stokes Equations
Feireisl E., Namlyeyeva Y., Nečasová Š.
Abstract:
We study the homogenization problem for the evolutionary Navier-Stokes system under the critical size of obstacles. Convergence towards the limit system of Brinkman's type is shown under very mild assumptions concerning the shape of the obstacles and their mutual distance.
Keywords:
Navier-Stokes system, homogenization, Brinkman's law

Fulltext: PDF DOI: No Doi

In Proceedings Topical Problems of Fluid Mechanics 2015, Prague, 2015 Edited by David Šimurda and Tomáš Bodnár, pp. 61-64 ISBN 978-80-87012-55-0 (Print) ISSN 2336-5781 (Print)