Stationary solutions of Navier-Stokes equations for diatomic gases

被引：19

作者：

Plotnikov, P. I. ^{[1
]}

Sokolowski, J. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, MA Lavrentev Hydrodynam Inst, Moscow 117901, Russia

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2007年 / 62卷 / 03期

关键词：

D O I：

10.1070/RM2007v062n03ABEH004414

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that the first boundary-value problem for the stationary Navier-Stokes equations of viscous gas dynamics has renormalized solutions for all values of the adiabatic exponent in the interval (4/3,3/2].

引用

页码：561 / 593

页数：33

共 50 条

[1] On the structure of stationary solutions of the Navier-Stokes equations
Wittwer, P
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 226 (03) : 455 - 474
[2] On the structure of stationary solutions of the Navier-Stokes equations
Wittwer, P
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 234 (03) : 557 - 565
[3] On the Structure of Stationary Solutions of the Navier-Stokes Equations
Peter Wittwer
Communications in Mathematical Physics, 2003, 234 : 557 - 565
[4] On symmetric Leray solutions of the stationary Navier-Stokes equations
Russo A.
Ricerche di Matematica, 2011, 60 (1) : 151 - 176
[5] On very weak solutions of the stationary Navier-Stokes equations
Kim H.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2009, 55 (2) : 279 - 287
[6] MARTINGALE AND STATIONARY SOLUTIONS FOR STOCHASTIC NAVIER-STOKES EQUATIONS
FLANDOLI, F
GATAREK, D
PROBABILITY THEORY AND RELATED FIELDS, 1995, 102 (03) : 367 - 391
[7] STRUCTURE OF SET OF STATIONARY SOLUTIONS OF NAVIER-STOKES EQUATIONS
FOIAS, C
TEMAM, R
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1977, 30 (02) : 149 - 164
[8] ON THE EXISTENCE OF STATIONARY SOLUTIONS TO COMPRESSIBLE NAVIER-STOKES EQUATIONS
VALLI, A
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1987, 4 (01): : 99 - 113
[9] An estimate of the solutions of a stationary problem for the navier-stokes equations
Solonnikov V.A.
Journal of Mathematical Sciences, 2000, 101 (5) : 3563 - 3569
[10] ON STATIONARY SOLUTIONS OF NAVIER-STOKES EQUATIONS IN 2 DIMENSIONS
FINN, R
SMITH, DR
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1967, 25 (01) : 26 - &

← 1 2 3 4 5 →