Fluid structure system with boundary conditions involving the pressure
Analysis of PDEs
2018-05-17 v2
Abstract
We study a coupled fluid-structure system involving boundary conditions on the pressure. The fluid is described by the incompressible Navier--Stokes equations in a 2D rectangular type domain where the upper part of the domain is described by a damped Euler--Bernoulli beam equation. Existence and uniqueness of local strong solutions without assumptions of smallness on the initial data is proved.
Cite
@article{arxiv.1707.06382,
title = {Fluid structure system with boundary conditions involving the pressure},
author = {Jean-Jérôme Casanova},
journal= {arXiv preprint arXiv:1707.06382},
year = {2018}
}