Abstract
We extend the class of weak solutions to more general objects commonly known as measure-valued or dissipative solutions. We show that the latter exist globally in time for any physically relevant initial data, they are compatible with classical solutions, they obey the weak-strong uniqueness principle, and that their solution set associated to given initial data is compact.
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Feireisl, E., Lukáčová-Medviďová, M., Mizerová, H., She, B. (2021). Generalized Weak Solutions. In: Numerical Analysis of Compressible Fluid Flows. MS&A, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-030-73788-7_5
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DOI: https://doi.org/10.1007/978-3-030-73788-7_5
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-73787-0
Online ISBN: 978-3-030-73788-7
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