Regularity and Energy Conservation for the Compressible Euler Equations

被引：68

作者：

Feireisl, Eduard ^{[1
]}

Gwiazda, Piotr ^{[2
,3
]}

Swierczewska-Gwiazda, Agnieszka ^{[3
]}

Wiedemann, Emil ^{[4
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, Zitna 25, CR-11567 Prague 1, Czech Republic

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

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

[4] Leibniz Univ Hannover, Inst Appl Math, Welfengarten 1, D-30167 Hannover, Germany

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2017年 / 223卷 / 03期

基金：

欧洲研究理事会;

关键词：

NAVIER-STOKES EQUATIONS; WELL-POSEDNESS; WEAK SOLUTIONS; INCOMPRESSIBLE EULER; DISSIPATION; CONJECTURE; SYSTEM; FLOWS;

D O I：

10.1007/s00205-016-1060-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be conserved. Our strategy relies on commutator estimates similar to those employed by Constantin et al. for the homogeneous incompressible Euler equations.

引用

页码：1375 / 1395

页数：21

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