Conservation of energy for the Euler–Korteweg equations

被引：0
|
作者：
Tomasz Dębiec
Piotr Gwiazda
Agnieszka Świerczewska-Gwiazda
Athanasios Tzavaras
机构：
[1] University of Warsaw,Institute of Applied Mathematics and Mechanics
[2] Polish Academy of Sciences,Institute of Mathematics
[3] King Abdullah University of Science and Technology (KAUST),Computer, Electrical, Mathematical Sciences and Engineering Division
来源：
Calculus of Variations and Partial Differential Equations | 2018年 / 57卷
关键词：
76D45; 35G50;
D O I：
暂无
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学科分类号：
摘要：
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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