On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models

The purpose of this note is to derive compactness proporties 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 AMS Subject Classification: 35Q10, 76D99, 73B99 Keywords: Fluid­structure interaction, rigid bodies, incompressible and compressible Navier­Strokes equations, weak solutions