ANALYSIS OF A LADYZHENSKAYA MODEL FOR INCOMPRESSIBLE VISCOUS-FLOW

被引:79
作者
DU, Q [1 ]
GUNZBURGER, MD [1 ]
机构
[1] VIRGINIA POLYTECH INST & STATE UNIV,DEPT MATH,BLACKSBURG,VA 24061
关键词
D O I
10.1016/0022-247X(91)90024-T
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we analyze a model for the motion of incompressible viscous flows proposed by Ladyzhenskaya. We establish a new a priori estimate for the nonstationary model and then obtain more general existence and uniqueness results. We also present some uniqueness results for the stationary model. The relationship between fluid motion governed by the Ladyzhenskaya model and that governed by the Navier-Stokes equations is addressed. © 1991.
引用
收藏
页码:21 / 45
页数:25
相关论文
共 19 条
[1]  
Adams RA., 2003, PURE APPL MATH SOB O, V2
[2]  
[Anonymous], 1969, MATH THEORY VISCOUS
[3]   SPACES LP, WITH MIXED NORM [J].
BENEDEK, A ;
PANZONE, R .
DUKE MATHEMATICAL JOURNAL, 1961, 28 (03) :301-&
[4]  
Bradshaw P., 1981, ENG CALCULATION METH, DOI Academic Press
[5]  
Caldern A.-P., 1964, STUDIA MATH, V24, P113
[6]  
CHORIN A, 1979, NUMERICAL INTRO FLUI
[7]  
Ciarlet P. G., 2002, FINITE ELEMENT METHO
[8]  
DONOGUE W, 1969, DISTRIBUTIONS FOURIE
[9]   FINITE-ELEMENT APPROXIMATIONS OF A LADYZHENSKAYA MODEL FOR STATIONARY INCOMPRESSIBLE VISCOUS-FLOW [J].
DU, Q ;
GUNZBURGER, MD .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (01) :1-19
[10]  
Hinze J, 1959, TURBULENCE