Conservation of energy for the Euler–Korteweg equations

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 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 languageEnglish (US)
Article number160
JournalCalculus of Variations and Partial Differential Equations
Volume57
Issue number6
DOIs
StatePublished - Dec 1 2018

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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