Chiodaroli, ElisabettaDe Lellis, CamilloKreml, Ondrej2015-09-282015-09-282015-09-28201510.1002/cpa.21537https://infoscience.epfl.ch/handle/20.500.14299/119219WOS:000354887200002We 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.text::journal::journal article::research article