The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book presents an account of theories of? ow in porous media which have proved
tractable to analysis and computation. In particular, the t-ories of Darcy, Brinkman, and …

In this work, we couple the incompressible steady Navier–Stokes equations with the Darcy
equations, by means of the Beaver–Joseph–Saffman's condition on the interface. Under …

This paper is an overview of known and new results about the coupling of Navier-Stokes
and Darcy equations to model the filtration of incompressible fluids through porous media …

We consider a model of coupled free and porous media flow governed by Stokes and Darcy
equations with the Beavers–Joseph–Saffman interface condition. This model is discretized …

Résumé The purpose of this thesis is to investigate, from both the mathematical and
numerical viewpoint, the coupling of surface and porous media flows, with particular concern …

Two parallel, non-iterative, multi-physics, domain decomposition methods are proposed to
solve a coupled time-dependent Stokes-Darcy system with the Beavers-Joseph-Saffman …

In this paper, we consider 2D and 3D Darcy-Stokes interface problems. These equations are
related to Brinkman model that treats both Darcy's law and Stokes equations in a single form …

We propose a new parallel Robin–Robin domain decomposition method for the coupled
Stokes–Darcy system with Beavers–Joseph–Saffman–Jones interface boundary condition …

In this article, we analyze the flow of a fluid through a coupled Stokes–Darcy domain. The
fluid in each domain is non-Newtonian, modeled by the generalized nonlinear Stokes …