Some notes about the homogenization problem for the Navier-Stokes equations

0451583 - MÚ 2016 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Feireisl, Eduard - Namlyeyeva, Yuliya - Nečasová, Šárka
Some notes about the homogenization problem for the Navier-Stokes equations.
Topical Problems of Fluid Mechanics 2015. Prague: Institute of Thermomechanics ASCR v. v. i., 2015 - (Šimurda, D.; Bodnár, T.), s. 61-64. ISBN 978-80-87012-55-0. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2015. Praha (CZ), 11.02.2015-13.02.2015]
Institucionální podpora: RVO:67985840
Klíčová slova: Navier-Stokes system * homogenization * Brinkman's law
Kód oboru RIV: BA - Obecná matematika
http://www.it.cas.cz/fm2015/im/admin/showfile/data/my/Papers/2015/08-TPFM2015.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0252715