arXiv:1707.06382 Abstract | arXiv Analytics

arXiv:1707.06382 [math.AP]Abstract References Reviews Resources

Fluid structure system with boundary conditions involving the pressure

Published 2017-07-20Version 1

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.

Categories: math.AP

Subjects: 35Q30, 74F10, 76D03, 76D05

Keywords: fluid structure system, boundary conditions, 2d rectangular type domain, local strong solutions, damped euler-bernoulli beam equation

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