Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions

被引：116
|
作者：
Iftimie, Dragos [1 ]
Sueur, Franck [2 ]
机构：
[1] Univ Lyon 1, CNRS, Univ Lyon, Inst Camille Jordan,UMR 5208, F-69622 Villeurbanne, France
[2] Univ Paris 06, CNRS, Lab Jacques Louis Lions, UMR 7598, F-75252 Paris, France
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2011年 / 199卷 / 01期
关键词：
FLOW; DOMAIN; LIMIT; MODEL; WALL;
D O I：
10.1007/s00205-010-0320-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We tackle the issue of the inviscid limit of the incompressible Navier-Stokes equations when the Navier slip-with-friction conditions are prescribed on impermeable boundaries. We justify an asymptotic expansion which involves a weak amplitude boundary layer, with the same thickness as in Prandtl's theory and a linear behavior. This analysis holds for general regular domains, in both dimensions two and three.
引用
收藏
页码：145 / 175
页数：31
相关论文
共 50 条
  • [1] Viscous boundary layers for the Navier–Stokes equations with the Navier slip conditions
    Dragoş Iftimie
    Franck Sueur
    Archive for Rational Mechanics and Analysis, 2011, 199 : 145 - 175
  • [2] Navier-Stokes equations with slip boundary conditions
    Guo, Ben-Yu
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2008, 31 (05) : 607 - 626
  • [3] Stokes and Navier-Stokes equations with Navier boundary conditions
    Acevedo Tapia, P.
    Amrouche, C.
    Conca, C.
    Ghosh, A.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 285 : 258 - 320
  • [4] Slip Boundary Conditions for the Compressible Navier-Stokes Equations
    Aoki, Kazuo
    Baranger, Celine
    Hattori, Masanari
    Kosuge, Shingo
    Martalo, Giorgio
    Mathiaud, Julien
    Mieussens, Luc
    JOURNAL OF STATISTICAL PHYSICS, 2017, 169 (04) : 744 - 781
  • [5] On Navier-Stokes equations with slip boundary conditions in an infinite pipe
    Mucha, PB
    ACTA APPLICANDAE MATHEMATICAE, 2003, 76 (01) : 1 - 15
  • [6] Spectral Method for Navier-Stokes Equations with Slip Boundary Conditions
    Guo, Ben-yu
    Jiao, Yu-jian
    JOURNAL OF SCIENTIFIC COMPUTING, 2014, 58 (01) : 249 - 274
  • [7] On Regularity of a Weak Solution to the Navier-Stokes Equations with the Generalized Navier Slip Boundary Conditions
    Neustupa, Jiri
    Penel, Patrick
    ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [8] On Generalized Energy Inequality of the Damped Navier-Stokes Equations with Navier Slip Boundary Conditions
    Pal, Subha
    Chutia, Duranta
    MATHEMATICS AND COMPUTING, ICMC 2022, 2022, 415 : 465 - 478
  • [9] BOUNDARY LAYERS IN INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH NAVIER BOUNDARY CONDITIONS FOR THE VANISHING VISCOSITY LIMIT
    Wang, Xiao-Ping
    Wang, Ya-Guang
    Xin, Zhouping
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2010, 8 (04) : 965 - 998
  • [10] Boundary layers for the conical Navier-Stokes equations
    Rasmussen, M.L., 1600, (28):
12345