TY - JOUR
T1 - Conservation of energy for the Euler–Korteweg equations
AU - Dębiec, Tomasz
AU - Gwiazda, Piotr
AU - Świerczewska-Gwiazda, Agnieszka
AU - Tzavaras, Athanasios
N1 - KAUST Repository Item: Exported on 2021-02-23
Acknowledgements: This 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.
PY - 2018/9/29
Y1 - 2018/9/29
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/626750
UR - http://link.springer.com/article/10.1007/s00526-018-1441-8
UR - http://www.scopus.com/inward/record.url?scp=85054126721&partnerID=8YFLogxK
U2 - 10.1007/s00526-018-1441-8
DO - 10.1007/s00526-018-1441-8
M3 - Article
AN - SCOPUS:85054126721
SN - 0944-2669
VL - 57
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
IS - 6
ER -
