Conservation of energy for the Euler-Korteweg equations

被引：14

作者：

Debiec, Tomasz ^{[1
]}

Gwiazda, Piotr ^{[2
]}

Swierczewska-Gwiazda, Agnieszka ^{[1
]}

Tzavaras, Athanasios ^{[3
]}

机构：

[1] Univ Warsaw, Inst Appl Math & Mech, Banacha 2, PL-02097 Warsaw, Poland

[2] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00656 Warsaw, Poland

[3] KAUST, Comp Elect Math Sci & Engn Div, Thuwal, Saudi Arabia

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 57卷 / 06期

关键词：

NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; QUANTUM HYDRODYNAMICS; INCOMPRESSIBLE EULER; IDEAL HYDRODYNAMICS; SPACE DIMENSIONS; DISSIPATION; SYSTEM; STABILITY;

D O I：

10.1007/s00526-018-1441-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：12

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