The continuity of the flow map with applications to Euler-Poisson equation

Lavi Karp (Braude College)

Feb 24. 2021, 14:00 — 15:00

Though there are numerous results for the existence and uniqueness of 
Euler-Poisson equations in various situations, surprisingly, the continues 
depending on the initial data has not been established so far. In a recent joint 
work with U. Brauer we proved the continuity of the flow map for symmetric 
hyperbolic systems and we applied it to Euler-Poisson equation. Previously, 
the continuous depending on the initial data for symmetric hyperbolic was proved 
by Kato, our method is based upon a new type of energy estimates. This method 
will enable us to apply it for relativistic flows, including non--isentropic flows.

Further Information
Erwin Schrödinger Institute - virtual
Associated Event:
Mathematical Perspectives of Gravitation beyond the Vacuum Regime (Online Workshop)
Håkan Andréasson (Chalmers U of Technology, Gothenburg)
David Fajman (U of Vienna)
Jérémie Joudioux (MPIGP, Potsdam)
Todd Oliynyk (Monash U, Melbourne)