Seminar on partial differential equations

Interaction of a small rigid body with fluids

Marco Bravin

Basque Center for Applied Mathematics

Tuesday, 24. November 2020 - 9:00 to 10:00

The lecture will be delivered on Zoom (only). The link to the seminar is:

https://cesnet.zoom.us/j/98914987846?pwd=YU9TZnRZdHV4NnhDVUpoZEgwZGtCdz09

Meeting ID: 989 1498 7846

Passcode: 889147

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.

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.