Energy equalities for compressible Navier-Stokes equations

被引：26

作者：

Quoc-Hung Nguyen ^{[1
]}

Phuoc-Tai Nguyen ^{[2
]}

Bao Quoc Tang ^{[3
]}

机构：

[1] New York Univ Abu Dhabi, Dept Math, Abu Dhabi, U Arab Emirates

[2] Masaryk Univ, Fac Sci, Dept Math & Stat, CS-61137 Brno, Czech Republic

[3] Karl Franzens Univ Graz, Inst Math & Sci Comp, Heinrichstr 36, A-8010 Graz, Austria

来源：

NONLINEARITY | 2019年 / 32卷 / 11期

关键词：

compressible Navier-Stokes equations; inhomogeneous incompressible Navier-Stokes equations; energy equalities; Onsager's conjecture; GLOBAL WEAK SOLUTIONS; ONSAGERS CONJECTURE; EULER EQUATIONS; ANOMALOUS DISSIPATION; CONSERVATION; VISCOSITY;

D O I：

10.1088/1361-6544/ab28ae

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The energy equalities of compressible Navier-Stokes equations with general pressure law and degenerate viscosities are studied. By using a unified approach, we give sufficient conditions on the regularity of weak solutions for these equalities to hold. The method of proof is suitable for the case of periodic as well as homogeneous Dirichlet boundary conditions. In particular, by a careful analysis using the homogeneous Dirichlet boundary condition, no boundary layer assumptions are required when dealing with bounded domains with a boundary.

引用

页码：4206 / 4231

页数：26

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