Analysis of the coupled Navier–Stokes/Biot problem

By Ayçil Çesmelioglu. 2017

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Abstract We analyze a weak formulation of the coupled problem defining the interaction between a free fluid and a poroelastic structure. The problem 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.

Subfields: Applied Mathematics, Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/237dbe9bbcc39a6a5fa840d83fa9d38bf5fd06e2