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

共 50 条

[1] Weak solutions of the compressible isentropic Navier-Stokes equations
Desjardins, B
[J]. APPLIED MATHEMATICS LETTERS, 1999, 12 (07) : 107 - 111
[2] On the regularity of solutions of the compressible isentropic Navier-Stokes equations
Desjardins, B
[J]. HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL 1, 1999, 129 : 215 - 224
[3] COMPACTNESS OF SOLUTIONS OF COMPRESSIBLE ISENTROPIC NAVIER-STOKES EQUATIONS
LIONS, PL
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 317 (01): : 115 - 120
[4] On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
Jiang, S
Zhang, P
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 215 (03) : 559 - 581
[5] Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
Choe, HJ
Kim, H
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 190 (02) : 504 - 523
[6] Regularity of weak solutions of the compressible isentropic Navier-Stokes equations
Desjardins, B
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1997, 22 (5-6) : 977 - 1008
[7] GLOBAL EXISTENCE OF SOLUTIONS FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS
LIONS, PL
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (12): : 1335 - 1340
[8] Weak Solutions for Compressible Isentropic Navier-Stokes Equations in Dimensions Three
Hu, Xianpeng
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 242 (03) : 1907 - 1945
[9] Blow up of classical solutions to the isentropic compressible Navier-Stokes equations
Lai, Ning-An
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 25 : 112 - 117
[10] Global classical solutions of compressible isentropic Navier-Stokes equations with small density
Si, Xin
Zhang, Jianwen
Zhao, Junning
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 42 : 53 - 70

← 1 2 3 4 5 →