Generalized Darcy–Oseen resolvent problem

Dagmar Medková, Mariya Ptashnyk (Lead / Corresponding author), Werner Varnhorn

Research output: Contribution to journal › Article › peer-review

184 Downloads (Pure)

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 languageEnglish
Pages (from-to)1621-1630
Number of pages10
JournalMathematical Models and Methods in Applied Sciences
Volume39
Issue number6
Early online date29 Feb 2016
DOIs
Publication statusPublished - 29 Mar 2016

Keywords

  • Darcy-Oseen resolven problem
  • semipermeable membrane
  • Brinkman-Darcy equations
  • fluid flow between free fluid domains and porous media
  • compact perturbations

Access to Document

  • Final Published Version

    © 2016 The Authors. Mathematical Methods in the Applied Sciences Published by John Wiley & Sons Ltd. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

    Final published version, 292 KBLicence: CC BY

    Fingerprint Dive into the research topics of 'Generalized Darcy–Oseen resolvent problem'. Together they form a unique fingerprint.

    Cite this