DISSIPATIVE SOLUTIONS TO THE COMPRESSIBLE ISENTROPIC NAVIER-STOKES EQUATIONS

被引：0

作者：

Guo, Liang ^{[1
]}

Li, Fucai ^{[2
]}

Yu, Cheng ^{[3
]}

机构：

[1] Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[3] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2023年 / 21卷 / 07期

关键词：

Compressible isentropic Navier-Stokes equations; dissipative solutions; weak-strong uniqueness; WEAK-STRONG UNIQUENESS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dissipative solutions to the compressible isentropic Navier-Stokes equations are introduced in this paper. This notion was inspired by the concept of dissipative solutions to the in4.4). We establish the existence of the dissipative solutions for the compressible Navier-Stokes equations, which is carried out by an approximate scheme for a modified Brenner model with artificial diffusion and artificial pressure at the same level. Moreover, we prove that the weak solution of the compressible isentropic Navier-Stokes equations is a dissipative solution.

引用

页码：1961 / 1987

页数：27

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