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On weak solutions for fluid-rigid structure interaction: Compressible and incompressible models. (English) Zbl 0953.35118

Summary: The purpose of this note is to derive compactness properties for both incompressible and compressible viscous flows in a bounded domain interacting with a finite number of rigid bodies. We prove the global existence of weak solutions away from collisions.

MSC:

35Q35 PDEs in connection with fluid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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