Mathematical analysis of the Navier-Stokes/Darcy coupling

We consider a differential system based on the coupling of the Navier-Stokes and Darcy equations for modeling the interaction between surface and porous media flows. We formulate the problem as an interface equation, we analyze the associated (nonlinear) Steklov-Poincare' operators, and we prove its wellposedness. We propose and analyze iterative methods to solve a conforming finite element approximation of the coupled problem.

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Original source : http://infoscience.epfl.ch/record/143748...