Analysis of the coupled Navier-Stokes/Biot problem

Abstract

We analyze a weak formulation of the coupled problem defining the interac- tion between a free fluid and a poroelastic structure. The problem is fully dynamic and is governed by the time-dependent incompressible Navier-Stokes equations and the Biot equations. Under a small data assumption, existence and uniqueness results are proved and a priori estimates are provided.

References in corpus (1)

• Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach

Cited by in corpus (5)

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• Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers
• Hybridizable discontinuous Galerkin methods for the coupled Stokes--Biot problem
• A posteriori error analysis for a Lagrange multiplier method for a Stokes/Biot fluid-poroelastic structure interaction model
• A polytopal discontinuous Galerkin method for the pseudo-stress formulation of the unsteady Stokes problem