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- W3141528198 endingPage "129" @default.
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- W3141528198 abstract "In this chapter the problem of the global energy conservation for weak solutions is treated. After having introduced the classical problems and results, some recent improvements are presented, in a general framework. More precisely, first the sufficient conditions of Prodi–Lions–Shinbrot for weak solutions are proved, putting emphasis on the behavior at time t=0. Next, recent results concerning energy conservation for weak solutions having some degree of regularity are proved; in particular, results involving derivatives, fractional derivatives, and even Hölder continuity (in the spirit of Onsager conjecture) are presented. Finally, the problem of energy conservation for very-weak solutions (solutions which do not a priori satisfy the energy inequality) is considered within the classical classes." @default.
- W3141528198 created "2021-04-13" @default.
- W3141528198 creator A5069567984 @default.
- W3141528198 date "2021-01-01" @default.
- W3141528198 modified "2023-10-18" @default.
- W3141528198 title "Global energy conservation" @default.
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- W3141528198 doi "https://doi.org/10.1016/b978-0-12-821954-6.00008-9" @default.
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