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- W2951377480 abstract "Can every measure-valued solution to the compressible Euler equations be approximated by a sequence of weak solutions? We prove that the answer is negative: Generalizing a well-known rigidity result of Ball and James to a more general situation, we construct an explicit measure-valued solution for the compressible Euler equations which can not be generated by a sequence of distributional solutions. We also give an abstract necessary condition for measure-valued solutions to be generated by weak solutions, relying on work of Fonseca and Muller. This difference between weak and measure-valued solutions in the compressible case is in contrast with the incompressible situation, where every measure-valued solution can be approximated by weak solutions, as shown by Sz'ekelyhidi and Wiedemann." @default.
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- W2951377480 date "2015-11-10" @default.
- W2951377480 modified "2023-09-27" @default.
- W2951377480 title "$mathcal{A}$-free rigidity and applications to the compressible Euler system" @default.
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