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Non-uniqueness of entropy-conserving solutions to the ideal compressible MHD equations
Published 4 Feb 2019 in math.AP | (1902.01446v1)
Abstract: 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 which one obtains infinitely many entropy-conserving weak solutions by using the convex integration technique. Our result is also true for the isentropic case.
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