APDE seminar@BCAM: Well posedness of the Euler system of gas dynamics

Abstract

Several recent results concerning well/ill posedness of the Euler system of gas dynamics will be presented. Solutions of the system are identified as limits of consistent approximations generated either by physically more complex problems, notably the Navier- Stokes-Fourier system, or by the approximate schemes in numerical experiments. The role of the fundamental principles encoded in the First and Second law of thermodynamics in identifying a unique physically admissible solution is examined.