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most citedThe Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock

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math.AP2019

Non-uniqueness of entropy-conserving solutions to the ideal compressible MHD equations

Christian Klingenberg, Simon Markfelder

In this note we consider the ideal compressible magneto-hydrodynamics (MHD) equations in a special two dimensional setting. We show that there exist particular initial data for whi…