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Séminaire de EDP - Physique Mathématique

Interaction of a small rigid body with a compressible fluid

Marco Bravin

( BCAM )

visio-conférence

le 19 janvier 2021 à 11:15

In this talk I will present a recent result in collaboration with Prof Necasova, where we study the interaction between a small rigid body and a compressible viscous fluid modeled by the compressible Navier-Stokes equations. In particular I will recall the previous results where the fluids were supposedly incompressible and then I will focus my attention on the improved pressure estimates that are the main novelty in our result. In contrast with the incompressible case the pressure estimates depend on a lower bound of the mass and the inertia matrix of the object as its size tends to zero.