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. © EDP Sciences, SMAI, 2013.
CITATION STYLE
Cesmelioglu, A., Girault, V., & Rivière, B. (2013). Time-dependent coupling of Navier-Stokes and Darcy flows. ESAIM: Mathematical Modelling and Numerical Analysis, 47(2), 539–554. https://doi.org/10.1051/m2an/2012034
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