Modul:   MAT673  Seminar PDE and Mathematical Physics

A prirori estimates for the relativistic free boundary Euler equations in physical vacuum

Talk by Dr. Mahir Hadzic

Speaker invited by: Prof. Dr. Benjamin Schlein

Date: 20.11.14  Time: 18.15 - 19.15  Room: Y27H35/36

We consider Euler equations on a fixed Lorentzian manifold. The fluid is initially supported on a compact domain and the boundary between the fluid and the vacuum is allowed to move. Imposing the so-called physical vacuum boundary condition, we will explain how to obtain a priori estimates for this problem. In particular, our functional framework allows us to track the regularity of the free boundary. This is joint work with S. Shkoller and J. Speck.