About thin film micropolar asymptotic equations

被引：10
|
作者：
Bayada, G
Chambat, M
Gamouana, SR
机构：
[1] Inst Natl Sci Appl, LMMCS, UMR 5585 5514, F-69621 Villeurbanne, France
[2] Univ Lyon 1, CNRS, UMR 5585, F-69622 Villeurbanne, France
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2001年 / 59卷 / 03期
关键词：
D O I：
10.1090/qam/1848526
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study from a mathematical point of view the asymptotic behaviour of micropolar fluids in lubrication theory. Different assumptions are made on the dependence of the micropolar characteristic numbers and of the Dirichlet boundary conditions for the velocity and the rotation, with respect to the small gap parameter. Various generalized Reynolds equations are rigorously obtained and second-order estimates are also given.
引用
收藏
页码：413 / 439
页数：27
相关论文
共 50 条
  • [11] Simulation of thin film lubrication with micropolar fluids
    Zhang, Chaohui
    Wen, Shizhu
    Luo, Jianbin
    Jixie Gongcheng Xuebao/Chinese Journal of Mechanical Engineering, 2001, 37 (09): : 4 - 8
  • [12] On the Decomposition of Equations of Micropolar Elasticity and Thin Body Theory
    Nikabadze, M.
    Ulukhanyan, A.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (10) : 2060 - 2075
  • [13] On the Decomposition of Equations of Micropolar Elasticity and Thin Body Theory
    M. Nikabadze
    A. Ulukhanyan
    Lobachevskii Journal of Mathematics, 2020, 41 : 2060 - 2075
  • [14] Thin Film Flow of Micropolar Fluid in a Permeable Medium
    Ali, Vakkar
    Gul, Taza
    Afridi, Shakeela
    Ali, Farhad
    Alharbi, Sayer Obaid
    Khan, Ilyas
    COATINGS, 2019, 9 (02):
  • [15] Higher Order Asymptotic Behavior in Micropolar Equations With Nonlinear Damping Effects
    Vega, Franco D.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
  • [16] On exact solutions for thin film flows of a micropolar fluid
    Sajid, M.
    Ali, N.
    Hayat, T.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (02) : 451 - 461
  • [17] On the Thin Film Muskat and the Thin Film Stokes Equations
    Bruell, Gabriele
    Granero-Belinchon, Rafael
    JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2019, 21 (02)
  • [18] On the Thin Film Muskat and the Thin Film Stokes Equations
    Gabriele Bruell
    Rafael Granero-Belinchón
    Journal of Mathematical Fluid Mechanics, 2019, 21
  • [19] About asymptotic approximations in thin waveguides
    Turbe, N
    Ratier, L
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2005, 39 (06): : 1271 - 1284
  • [20] Asymptotic stability of planar rarefaction wave to 3D micropolar equations
    Gong, Guiqiong
    Zhang, Lan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 485 (02)
12345