Time-dependent coupling of Navier–Stokes and Darcy flows
Open Access
- 11 January 2013
- journal article
- Published by EDP Sciences in ESAIM: Mathematical Modelling and Numerical Analysis
- Vol. 47 (2), 539-554
- https://doi.org/10.1051/m2an/2012034
Abstract
A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.Keywords
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