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• W3010891364 abstract "Conserved or dissipated quantities, like energy or entropy, are at the heart of the study of many classes of time-dependent PDEs in connection with fluid mechanics. This is the case, for instance, for the Euler and Navier-Stokes equations, for systems of conservation laws, and for transport equations. In all these cases, a formally conserved quantity may no longer be constant in time for a weak solution at low regularity. The delicate interplay between regularity and conservation of the respective quantity relates to renormalisation in the DiPerna-Lions theory of transport and continuity equations, and to Onsager's conjecture in the realm of ideal incompressible fluids. We will review the classical commutator methods of DiPerna-Lions and Constantin-E-Titi, and then proceed to more recent results." @default.
• W3010891364 created "2020-03-23" @default.
• W3010891364 creator A5003850935 @default.
• W3010891364 date "2020-03-17" @default.
• W3010891364 modified "2023-09-27" @default.
• W3010891364 title "Conserved quantities and regularity in fluid dynamics" @default.
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• W3010891364 hasPublicationYear "2020" @default.
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