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- W2754973061 abstract "We consider the 2-d isentropic compressible Euler equations. It was shown in [E. Chiodaroli, C. De Lellis and O. Kreml, Global ill-posedness of the isentropic system of gas dynamics, Comm. Pure Appl. Math. 68(7) (2015) 1157–1190] that there exist Riemann initial data as well as Lipschitz initial data for which there exist infinitely many weak solutions that fulfill an energy inequality. In this paper, we will prove that there is Riemann initial data for which there exist infinitely many weak solutions that conserve energy, i.e. they fulfill an energy equality. As in the aforementioned paper, we will also show that there even exist Lipschitz initial data with the same property." @default.
- W2754973061 created "2017-09-25" @default.
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- W2754973061 date "2018-12-01" @default.
- W2754973061 modified "2023-10-16" @default.
- W2754973061 title "Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional Euler equations" @default.
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- W2754973061 doi "https://doi.org/10.1142/s0219891618500224" @default.
- W2754973061 hasPublicationYear "2018" @default.
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