Mathematical analysis of the Navier-Stokes/Darcy coupling

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
MOX 97
Title:
Mathematical analysis of the Navier-Stokes/Darcy coupling
Date:
Friday 22nd December 2006
Author(s):
Badea, Lori; Discacciati, Marco; Quarteroni, Alfio
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Abstract:
We consider a differential system based on the coupling of the Navier Stokes and Darcy equations for modeling the interaction between surface and subsurface flows. We formulate the problem as an interface equation, we analyze the associated (nonlinear) Steklov-Poincaré operators, and we prove its wellposedness.