Generalized Darcy–Oseen resolvent problem

0458378 - MÚ 2017 RIV GB eng J - Journal Article
Medková, Dagmar - Ptashnyk, M. - Varnhorn, W.
Generalized Darcy–Oseen resolvent problem.
Mathematical Methods in the Applied Sciences. Roč. 39, č. 6 (2016), s. 1621-1630. ISSN 0170-4214. E-ISSN 1099-1476
Institutional support: RVO:67985840
Keywords : Darcy-Oseen resolvent problem * semipermeable membrane * Brinkman-Darcy equations * fluid flow between free-fluid domains and porous media
Subject RIV: BA - General Mathematics
Impact factor: 1.017, year: 2016
http://onlinelibrary.wiley.com/doi/10.1002/mma.3872/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 problems: a mixed Navier–Dirichlet problem for the generalized Oseen resolvent system and Robin problem for an elliptic equation related to the general Darcy equations.
Permanent Link: http://hdl.handle.net/11104/0258642