Vanishing shear viscosity in the equations of compressible fluids for the flows with the cylinder symmetry

被引：52

作者：

Frid, H

Shelukhin, V

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, Brazil

[2] MA Lavrentyev Hydrodynam Inst, Novosibirsk 630090, Russia

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2000年 / 31卷 / 05期

关键词：

Navier-Stokes equations; compressible fluids; vanishing shear viscosity;

D O I：

10.1137/S003614109834394X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the question of the limit process when the shear viscosity goes to zero for global solutions to the Navier Stokes equations for compressible heat conductive fluids for the flows which are invariant over cylindrical sheets.

引用

页码：1144 / 1156

页数：13

共 50 条

[41] Weak solutions to the equations of motion for compressible magnetic fluids
Amirat, Youcef
Hamdache, Kamel
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2009, 91 (05): : 433 - 467
[42] Stochastic Navier-Stokes Equations for Compressible Fluids
Breit, Dominic
Hofmanova, Martina
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2016, 65 (04) : 1183 - 1250
[43] VANISHING VISCOSITY LIMIT FOR VISCOUS BURGERS-VLASOV EQUATIONS
Cao, Wentao
Wang, Teng
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2020, 18 (04) : 1135 - 1148
[44] Degenerate lake equations: classical solutions and vanishing viscosity limit
Al Taki, Bilal
Lacave, Christophe
NONLINEARITY, 2023, 36 (01) : 653 - 678
[45] On the importance of the pressure dependence of viscosity in steady non-isothermal shearing flows of compressible and incompressible fluids and in the isothermal fountain flow
Huilgol, RR
You, Z
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2006, 136 (2-3) : 106 - 117
[46] VANISHING VISCOSITY LIMIT TO RAREFACTION WAVES FOR THE FULL COMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE
Wang, Wenjun
Yao, Lei
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (06) : 2331 - 2350
[47] Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosity
Scrobogna, Stefano
REVISTA MATEMATICA IBEROAMERICANA, 2018, 34 (01) : 1 - 58
[48] FREE BOUNDARY PROBLEM FOR COMPRESSIBLE FLOWS WITH DENSITY DEPENDENT VISCOSITY COEFFICIENTS
Chen, Ping
Fang, Daoyuan
Zhang, Ting
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (02) : 459 - 478
[49] On the Navier-Stokes Equations for Exothermically Reacting Compressible Fluids
Gui-Qiang Chen*
David Hoff**
Konstantina Trivisa***
Acta Mathematicae Applicatae Sinica, 2002, 18 (1) : 15 - 36
[50] WEAK SOLUTIONS TO EQUATIONS OF STEADY COMPRESSIBLE HEAT CONDUCTING FLUIDS
Mucha, Piotr B.
Pokorny, Milan
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2010, 20 (05) : 785 - 813

← 1 2 3 4 5 →