Weak solutions of the compressible isentropic Navier-Stokes equations

被引：6

作者：

Desjardins, B ^{[1
]}

机构：

[1] Ecole Normale Super, DMI, F-75005 Paris, France

来源：

APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 07期

关键词：

compressible fluids; weak solutions; regularity;

D O I：

10.1016/S0893-9659(99)00109-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note is devoted to some properties of weak solutions to the compressible isentropic Navier-Stokes equations in dimension 2 or 3. First, the restrictions on the pressure growth for the known global existence and stability results are illustrated through explicit radial solutions. On the other hand, an improved global time regularity is derived for the momentum. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：107 / 111

页数：5

共 50 条

[41] Weak-Strong Uniqueness for the Isentropic Compressible Navier-Stokes System
Germain, Pierre
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2011, 13 (01) : 137 - 146
[42] Existence of solutions for the compressible Navier-Stokes equations
Yin, HC
[J]. CHINESE SCIENCE BULLETIN, 1996, 41 (10): : 805 - 812
[43] STABILITY OF SOLUTIONS OF COMPRESSIBLE NAVIER-STOKES EQUATIONS
GORDON, P
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (08) : 1543 - 1552
[44] GLOBAL WEAK SOLUTIONS TO 1D COMPRESSIBLE ISENTROPIC NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY
Jiang, Song
Xin, Zhouping
Zhang, Ping
[J]. METHODS AND APPLICATIONS OF ANALYSIS, 2005, 12 (03) : 239 - 251
[45] On Spherically Symmetric Solutions¶of the Compressible Isentropic Navier–Stokes Equations
Song Jiang
Ping Zhang
[J]. Communications in Mathematical Physics, 2001, 215 : 559 - 581
[46] Weak Dissipative Structure for Compressible Navier-Stokes Equations
Wang Ke-yan (Department of Mathematics
[J]. Communications in Mathematical Research, 2010, 26 (04) : 375 - 384
[47] Weak solutions to the two-dimensional steady compressible Navier-Stokes equations
Zhong, Xin
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 34 : 61 - 74
[48] On integrability up to the boundary of the weak solutions of the Navier-Stokes equations of compressible flow
Feireisl, E
Petzeltová, H
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2000, 25 (3-4) : 755 - 767
[49] On the global existence of weak solutions for the Navier-Stokes equations of compressible fluid flows
Perepelitsa, Mikhail
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2006, 38 (04) : 1126 - 1153
[50] Existence and uniqueness of weak solutions of the compressible spherically symmetric Navier-Stokes equations
Huang, Xiangdi
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (03) : 1341 - 1358

← 1 2 3 4 5 →