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Analysis of a Navier–Stokes–Darcy coupling problem
Journal article   Peer reviewed

Analysis of a Navier–Stokes–Darcy coupling problem

Yassine Mabrouki and Jamil Satouri
Advances in pure and applied mathematics (Berlin, Germany), Vol.7(3), pp.177-188
01/07/2016
DOI: https://doi.org/10.1515/apam-2016-0017

Abstract

76D05 76S05 coupled model Darcy equation Navier–Stokes equation
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.

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