Existence result for a fluid structure interaction problem with friction type slip boundary condition. (English) Zbl 1329.35239
Summary: We study the stationary interaction between a 2D viscous fluid, governed by the Stokes equation, and a rigid structure that can move following rigid displacements. The displacements of the structure are determined using an algebraic equation. A slip boundary condition of friction type is used on the fluid-solid interface. An existence result is proved and numerical tests are presented.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 74M10 | Friction in solid mechanics |
| 76D07 | Stokes and related (Oseen, etc.) flows |
Software:
FreeFem++References:
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