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Analysis of a Navier–Stokes–Darcy coupling problem

  • Yassine Mabrouki and Jamil Satouri EMAIL logo
Published/Copyright: May 1, 2016

Abstract

The aim of this work is to present a model for coupling the Darcy equations in a porous medium with the Navier–Stokes equations in the cracks. We consider a two- or three-dimensional domain with non-standard condition at the interface, namely the continuity of the pressure. We propose a mixed formulation and establish the existence of a solution for the coupled problem.

MSC 2010: 76D05; 76S05

References

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Received: 2016-2-17
Revised: 2016-3-28
Accepted: 2016-4-1
Published Online: 2016-5-1
Published in Print: 2016-7-1

© 2016 by De Gruyter

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