Conservation of energy for the Euler–Korteweg equations

Tomasz Dębiec, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Athanasios Tzavaras

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In this article we study the principle of energy conservation for the Euler–Korteweg system. We formulate an Onsager-type sufficient regularity condition for weak solutions of the Euler–Korteweg system to conserve the total energy. The result applies to the system of Quantum Hydrodynamics.
Original languageEnglish (US)
JournalCalculus of Variations and Partial Differential Equations
Issue number6
StatePublished - Sep 29 2018


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