Mathematical analysis of variable density flows in porous media |
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| Authors: | Eduard Feireisl Danielle Hilhorst Hana Petzeltová Peter Takáč |
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| Affiliation: | 1.Institute of Mathematics of the Academy of Sciences of the Czech Republic,Prague 1,Czech Republic;2.CNRS et Laboratoire de Mathématiques,Université de Paris-Sud,Orsay Cedex,France;3.Institut für Mathematik,Universit?t Rostock,Rostock,Germany |
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| Abstract: | 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. |
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