Conservation of energy for the Euler–Korteweg equations

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

doi:10.1007/s00526-018-1441-8

Conservation of energy for the Euler–Korteweg equations

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

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English (US)
Article number	160
Journal	Calculus of Variations and Partial Differential Equations
Volume	57
Issue number	6
DOIs	https://doi.org/10.1007/s00526-018-1441-8
State	Published - Dec 1 2018

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00526-018-1441-8

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title = "Conservation of energy for the Euler–Korteweg equations",

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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AU - Dębiec, Tomasz

AU - Gwiazda, Piotr

AU - Świerczewska-Gwiazda, Agnieszka

AU - Tzavaras, Athanasios

PY - 2018/12/1

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M3 - Article

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JO - Calculus of Variations and Partial Differential Equations

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IS - 6

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Conservation of energy for the Euler–Korteweg equations

Abstract

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