Thumbnail Image

On the density of “wild” initial data for the compressible Euler system

Feireisl, Eduard; Klingenberg, Christian; Markfelder, Simon

We consider a class of “wild” initial data to the compressible Euler system that give rise to infinitely many admissible weak solutions via the method of convex integration. We identify the closure of this class in the natural L1-topology and show that its complement is rather large, specifically it is an open dense set.
Published in: Calculus of Variations and Partial Differential Equations, 10.1007/s00526-020-01806-5, Springer