Publication
We consider the isentropic compressible Euler system in 2 space dimensions with pressure law p () = (2) and we show the existence of classical Riemann data, i.e. pure jump discontinuities across a line, for which there are infinitely many admissible bounded weak solutions (bounded away from the void). We also show that some of these Riemann data are generated by a 1-dimensional compression wave: our theorem leads therefore to Lipschitz initial data for which there are infinitely many global bounded admissible weak solutions. (c) 2015 Wiley Periodicals, Inc.
Mohamed Farhat, Danail Obreschkow, Davide Bernardo Preso, Armand Baptiste Sieber
Maryna Viazovska, Vlad Serban, Nihar Prakash Gargava