Mathematical analysis of variable density flows in porous media

0457704 - MÚ 2017 RIV CH eng J - Journal Article
Feireisl, Eduard - Hilhorst, D. - Petzeltová, Hana - Takáč, P.
Mathematical analysis of variable density flows in porous media.
Journal of Evolution Equations. Roč. 16, č. 1 (2016), s. 1-19. ISSN 1424-3199. E-ISSN 1424-3202
EU Projects: European Commission(XE) 320078 - MATHEF
Institutional support: RVO:67985840
Keywords : variable density flow * flows in porous media * global-in-time solutions
Subject RIV: BA - General Mathematics
Impact factor: 1.038, year: 2016
http://link.springer.com/article/10.1007/s00028-015-0290-6

We consider a simple model describing the motion of a two-component mixture through a porous medium. We discuss well posedness of the associated initial-boundary value problem, in particular, with respect to the choice of boundary and far-field conditions. The existence of global-in-time solutions is proved in the ideal case when the fluid occupies the whole physical space. Finally, similar results are obtained also for the boundary value problems in the simplified 1-D geometry.
Permanent Link: http://hdl.handle.net/11104/0258073