Homogenization and singular limits for the complete Navier-Stokes-Fourier system

0349251 - MÚ 2011 RIV FR eng J - Journal Article
Feireisl, Eduard - Novotný, A. - Takahashi, T.
Homogenization and singular limits for the complete Navier-Stokes-Fourier system.
Journal de Mathematiques Pures et Appliquees. Roč. 94, č. 1 (2010), s. 33-57. ISSN 0021-7824. E-ISSN 1776-3371
R&D Projects: GA MŠMT LC06052; GA ČR GA201/08/0315
Institutional research plan: CEZ:AV0Z10190503
Keywords : compressible Navier-Stokes-Fourier equations * homogenization * porous medium equation
Subject RIV: BA - General Mathematics
Impact factor: 1.450, year: 2010
http://www.sciencedirect.com/science/article/pii/S0021782409001639

In this paper we apply the methods of homogenization to the full Navier-Stokes-Fourier system describing the motion of a general viscous, compressible, and heat conducting fluid. We study the asymptotic behavior of solutions in perforated domains with tiny holes, where the diameter of the holes is proportional to their mutual distance. As a limit system, we identify a porous medium type equation with a nonlinear Darcy's law.
Permanent Link: http://hdl.handle.net/11104/0189542