26/03/2020, 15:00 — 16:00 —
Sala P3.10, Pavilhão de Matemática
Shrish Parmeshwar, King's College London
Global Existence for the N Body Euler-Poisson System
We discuss the problem of multiple expanding Newtonian stars acting under gravitational attraction. In particular, we will investigate whether one can find a class of initial positions and velocities for each star such that these expanding stars never touch. To do this, we make use of a scaling property present in the compressible Euler system, as well as a careful analysis of how the gravitational interaction between stars affects their dynamics.