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Uniqueness of rarefaction waves in multidimensional compressible Euler system

We show that 1-D rarefaction wave solutions are unique in the class of bounded entropy solutions to the multidimensional compressible Euler system. Such a result may be viewed as a counterpart of the recent examples of non-uniqueness of the shock wave solutions to the Riemann problem, where infinitely many solutions are constructed by the method of convex integration.

preprint2014arXivOpen access
Eduard FeireislOndřej Kreml
math.AP
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Eduard FeireislOndřej Kreml

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