On some properties of the Navier-Stokes equations

被引:0
作者
Rubina, L., I
Ul'yanov, O. N.
机构
来源
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2016年 / 22卷 / 01期
关键词
Navier-Stokes equations; initial value problem; boundary value problem; Reynolds number; turbulence;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We discuss the initial and boundary value problems for the system of dimensionless Navier-Stokes equations describing the dynamics of a viscous incompressible fluid using the method of characteristics and the geometric method developed by the authors. Some properties of the formulation of these problems are considered. We study the effect of the Reynolds number on the flow of a viscous fluid near the surface of a body.
引用
收藏
页码:245 / 256
页数:12
相关论文
共 13 条
[1]  
BRADSHAW P, 1973, AGARDOGRAPH, V169
[2]   Fine Properties of Self-Similar Solutions of the Navier-Stokes Equations [J].
Brandolese, Lorenzo .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2009, 192 (03) :375-401
[3]  
Chorin A. J, 1976, MATH LECT SER, V5
[4]  
Fefferman C. L., 2006, CLAY MATH I, P57
[5]   On a spectrum of blow-up patterns for a higher-order semilinear parabolic equation [J].
Galaktionov, VA .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2011) :1623-1643
[6]  
Galdi G. P., 1994, SPRINGER TRACTS NATU, V38, P39
[7]  
Galdi GP, 2002, HANDBOOK OF MATHEMATICAL FLUID DYNAMICS, VOL 1, P653
[8]   WEAK AND STRONG SOLUTIONS OF THE NAVIER-STOKES INITIAL-VALUE PROBLEM [J].
GIGA, Y .
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1983, 19 (03) :887-910
[9]  
Marsden J. E., 1976, APPL MATH SCI, V19
[10]  
Miyakawa T., 2000, FUNKC EKVACIOJ-SER I, V43, P541