Weak and measure-valued solutions to the full Euler system

Abstract: We introduce a concept of dissipative measure valued solution for the full Euler system describing the motion of an inviscid uid. We show the existence of non-trivial solutions of this type by proving the existence of innitely many weak (distributional) solutions to the same system. Then we show several applications in problems of singular limits where either the primitive or target system is considered in the measure-valued sense.

Joint with Workshop on PDEs in Fluid Dynamics.