Analysis of the coupled Navier-Stokes/Biot problem
Analysis of PDEs
2022-05-25 v1
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.
Keywords
Cite
@article{arxiv.1702.08095,
title = {Analysis of the coupled Navier-Stokes/Biot problem},
author = {Aycil Cesmelioglu},
journal= {arXiv preprint arXiv:1702.08095},
year = {2022}
}