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arXiv · 1707.06382

Fluid structure system with boundary conditions involving the pressure

Jean-Jérôme Casanova
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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.

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Jean-Jérôme Casanova. 2017-07-20. Fluid structure system with boundary conditions involving the pressure. https://arxiv.org/abs/1707.06382

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