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arXiv · 1801.00177

Conservation of energy for the Euler-Korteweg equations

Tomasz Dębiec·Piotr Gwiazda·Agnieszka Świerczewska-Gwiazda·Athanasios Tzavaras
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Abstract

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.

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Tomasz Dębiec, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Athanasios Tzavaras. 2017-12-30. Conservation of energy for the Euler-Korteweg equations. https://arxiv.org/abs/1801.00177

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