Show simple item record

dc.contributor.authorDębiec, Tomasz
dc.contributor.authorGwiazda, Piotr
dc.contributor.authorŚwierczewska-Gwiazda, Agnieszka
dc.contributor.authorTzavaras, Athanasios
dc.date.accessioned2018-09-13T08:30:08Z
dc.date.available2018-01-15T06:10:40Z
dc.date.available2018-09-13T08:30:08Z
dc.date.issued2018-09-29
dc.identifier.citationDębiec T, Gwiazda P, Świerczewska-Gwiazda A, Tzavaras A (2018) Conservation of energy for the Euler–Korteweg equations. Calculus of Variations and Partial Differential Equations 57. Available: http://dx.doi.org/10.1007/s00526-018-1441-8.
dc.identifier.issn0944-2669
dc.identifier.issn1432-0835
dc.identifier.doi10.1007/s00526-018-1441-8
dc.identifier.urihttp://hdl.handle.net/10754/626750
dc.description.abstractIn 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.
dc.description.sponsorshipThis work was partially supported by the Simons - Foundation Grant 346300 and the Polish Government MNiSW 2015-2019 matching fund; AET thanks the Institute of Mathematics of the Polish Academy of Sciences, Warsaw, for their hospitality during his stay as a Simons Visiting Professor, while P.G. and A.Ś-G thank KAUST for its hospitality during their stay. P.G. and A.Ś-G. received support from the National Science Centre (Poland), 2015/18/M/ST1/00075. T.D acknowledges the support of the National Science Centre (Poland), 2012/05/E/ST1/02218.
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/article/10.1007/s00526-018-1441-8
dc.rightsArchived with thanks to Calculus of Variations and Partial Differential Equations
dc.titleConservation of energy for the Euler–Korteweg equations
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journalCalculus of Variations and Partial Differential Equations
dc.eprint.versionPost-print
dc.contributor.institutionInstitute of Applied Mathematics and Mechanics, University of Warsaw, Warsaw, Poland
dc.contributor.institutionInstitute of Mathematics, Polish Academy of Sciences, Warsaw, Poland
dc.identifier.arxividarXiv:1801.00177
kaust.personTzavaras, Athanasios
dc.versionv1
refterms.dateFOA2018-06-13T19:21:27Z
dc.date.published-online2018-09-29
dc.date.published-print2018-12
dc.date.posted2017-12-30


Files in this item

Thumbnail
Name:
EulerKorteweg.pdf
Size:
179.1Kb
Format:
PDF
Description:
Accepted Manuscript

This item appears in the following Collection(s)

Show simple item record

VersionItemEditorDateSummary

*Selected version