On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition

被引：219
作者：
Xiao, Yuelong [1 ]
Xin, Zhouping
机构：
[1] Xiangtan Univ, Xiangtan, Peoples R China
[2] Chinese Univ Hong Kong, Sha Tin 100083, Hong Kong, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2007年 / 60卷 / 07期
关键词：
D O I：
10.1002/cpa.20187
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
[No abstract available]
引用
收藏
页码：1027 / 1055
页数：29
相关论文
共 53 条
[1]   Effective boundary conditions for laminar flows over periodic rough boundaries [J].
Achdou, Y ;
Pironneau, O ;
Valentin, F .
JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 147 (01) :187-218
[2]   EXISTENCE AND ASYMPTOTIC REPRESENTATION OF WEAK SOLUTIONS TO THE FLOWING PROBLEM UNDER THE CONDITION OF REGULAR SLIPPAGE ON SOLID WALLS [J].
ALEKSEENKO, SN .
SIBERIAN MATHEMATICAL JOURNAL, 1994, 35 (02) :209-230
[3]  
Bänsch E, 2001, NUMER MATH, V88, P203, DOI 10.1007/s002110000225
[4]   BOUNDARY CONDITIONS AT A NATURALLY PERMEABLE WALL [J].
BEAVERS, GS ;
JOSEPH, DD .
JOURNAL OF FLUID MECHANICS, 1967, 30 :197-&
[5]  
Bourguignon J., 1974, J FUNCT ANAL, V15, P341, DOI DOI 10.1016/0022-1236(74)90027-5
[6]   The second grade fluid and averaged Euler equations with Navier-slip boundary conditions [J].
Busuioc, AV ;
Ratiu, TS .
NONLINEARITY, 2003, 16 (03) :1119-1149
[7]   Vector calculus and the topology of domains in 3-space [J].
Cantarella, J ;
DeTurck, D ;
Gluck, H .
AMERICAN MATHEMATICAL MONTHLY, 2002, 109 (05) :409-442
[8]  
Cioranescu D, 1996, MATH METHOD APPL SCI, V19, P857, DOI 10.1002/(SICI)1099-1476(19960725)19:11<857::AID-MMA798>3.0.CO
[9]  
2-D
[10]   On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions [J].
Clopeau, T ;
Mikelic, A ;
Robert, R .
NONLINEARITY, 1998, 11 (06) :1625-1636
123456