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Abstract
In this paper we study the well-posedness of a coupled Darcy-Oseen resolvent problem, describing the fluid flow between free fluid domains and porous media separated by a semipermeable membrane. The influence of osmotic effects, induced by the presence of a semipermeable membrane, on the flow velocity is reflected in the transmission conditions on the surface between the free-fluid domain and the porous medium. To prove the existence of a weak solution of the generalized Darcy-Oseen resolvent system we consider two auxiliary problem: a mixed Navier-Dirichlet problem for the generalized Oseen resolvent system and Robin problem for an elliptic equation related to the general Darcy equations.
Original language | English |
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Pages (from-to) | 1621-1630 |
Number of pages | 10 |
Journal | Mathematical Models and Methods in Applied Sciences |
Volume | 39 |
Issue number | 6 |
Early online date | 29 Feb 2016 |
DOIs | |
Publication status | Published - 29 Mar 2016 |
Keywords
- Darcy-Oseen resolven problem
- semipermeable membrane
- Brinkman-Darcy equations
- fluid flow between free fluid domains and porous media
- compact perturbations
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