The Navier-Stokes-Darcy system with Beavers-Joseph and Beavers-Joseph-Saffman interface conditions is shown to be strongly well-posed in critical spaces for small data, with a Serrin-type blow-up criterion and analytic regularity.
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Fluid-Structure Interaction with Porous Media: The Beaver-Joseph condition in the strong sense
The Navier-Stokes-Darcy system with Beavers-Joseph and Beavers-Joseph-Saffman interface conditions is shown to be strongly well-posed in critical spaces for small data, with a Serrin-type blow-up criterion and analytic regularity.