FLUID STRUCTURE SYSTEM WITH BOUNDARY CONDITIONS INVOLVING THE PRESSURE

Jean-Jérôme Casanova (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

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.

Mots clés: Fluid–structure interaction; Navier–Stokes equations; beam equation; pressure boundary conditions

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]

Jean-Jérôme Casanova. FLUID STRUCTURE SYSTEM WITH BOUNDARY CONDITIONS INVOLVING THE PRESSURE. 2018. ⟨hal-01838242⟩