Date/heure
11 mars 2025
10:45 - 11:45
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Pei Su (Université d'Orsay)
Catégorie d'évènement
Séminaire Équations aux Derivées Partielles et Applications (Nancy)
Résumé
We consider a rigid body moving in an inviscid compressible fluid within a bounded domain. The fluid is thereby described by the compressible Euler equations, while the rigid body obeys the conservation of linear and angular momentum. This gives us a coupled system comprising an ODE and the initial boundary value problem (IBVP) of a hyperbolic system with characteristic boundary, where the fluid velocity matches the solid velocity along the normal direction of the solid boundary.
We establish the existence of a unique classical solution to this coupled system. Our approach involves constructing an approximate system with a non-characteristic boundary, which enables the decoupling of the fluid and solid equations. To obtain uniform norm control, we employ the conormal vector fields to derive the conormal and vorticity estimates, by using the structure of Euler equations. Finally, we are able to obtain the solution by compactness principle.