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Conservation of energy for the Euler-Korteweg equations

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Preprint
Authors
Dębiec, Tomasz
Gwiazda, Piotr
Świerczewska-Gwiazda, Agnieszka
Tzavaras, Athanasios cc
KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Applied Mathematics and Computational Science Program
COMPUTER, ELECTRICAL, MATHEMATICAL SCIENCES AND ENGINEERING DIVISION, KING ABDULLAH UNIVERSITY OF SCIENCE AND TECHNOLOGY (KAUST), THUWAL, SAUDI ARABIA
Date
2017-12-30
Permanent link to this record
http://hdl.handle.net/10754/626750.1

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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.
Publisher
arXiv
arXiv
arXiv:1801.00177
Additional Links
http://arxiv.org/abs/1801.00177v1
http://arxiv.org/pdf/1801.00177v1
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Preprints; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Version History

VersionItemEditorDateSummary
210754/626750Daryl Grenz2018-09-13T08:12:43ZAccepted to journal.
110754/626750.1*Daryl Grenz2018-01-15T06:10:40Z

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