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Conservation of energy for the Euler-Korteweg equations
Journal article   Open access  Peer reviewed

Conservation of energy for the Euler-Korteweg equations

Tomasz Debiec, Piotr Gwiazda, Agnieszka Swierczewska-Gwiazda and Athanasios Tzavaras
Calculus of variations and partial differential equations, Vol.57(6), pp.1-12
01/12/2018
DOI: https://doi.org/10.1007/s00526-018-1441-8

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1007/s00526-018-1441-8View
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