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
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
  • [21] Micropolar effects in the coupling of a thin film past a porous medium
    Bayada, G
    Chambat, M
    Gamouana, SR
    ASYMPTOTIC ANALYSIS, 2002, 30 (3-4) : 187 - 216
  • [22] Asymptotic analysis of the nonsteady micropolar fluid flow through a system of thin pipes
    Pazanin, Igor
    Radulovic, Marko
    Rukavina, Borja
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (15) : 12285 - 12320
  • [23] ASYMPTOTIC ANALYSIS OF A MICROPOLAR FLUID FLOW IN A THIN DOMAIN WITH A FREE AND ROUGH BOUNDARY
    Boukrouche, Mahdi
    Paoli, Laetitia
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (02) : 1211 - 1256
  • [24] Existence and time asymptotic profiles of weak solutions to the nonhomogeneous magneto-micropolar equations
    Wang, Xuewen
    Lei, Keke
    Liu, Chenggang
    Han, Pigong
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (17) : 18044 - 18074
  • [25] Asymptotic analysis for micropolar fluids
    Dupuy, D
    Panasenko, GP
    Stavre, R
    COMPTES RENDUS MECANIQUE, 2004, 332 (01): : 31 - 36
  • [26] Asymptotic profiles of solutions to the two-dimensional incompressible magneto-micropolar equations
    Ye, Xiuping
    Lin, Xueyun
    APPLICABLE ANALYSIS, 2024,
  • [27] Asymptotic behaviour of micropolar adhesives
    Brillard, A
    Ganghoffer, JF
    de Borst, R
    JOURNAL DE PHYSIQUE IV, 1998, 8 (P8): : 45 - 53
  • [28] Analysis of the thin film flow in a rough domain filled with micropolar fluid
    Pazanin, Igor
    Javier Suarez-Grau, Francisco
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 68 (12) : 1915 - 1932
  • [29] NONLINEAR RUPTURE OF THIN MICROPOLAR LIQUID FILM UNDER A MAGNETIC FIELD
    Cheng, P. -J.
    Chen, C. -K.
    Wang, Y. -C.
    Lin, M. -C.
    Yang, C. -K.
    JOURNAL OF MECHANICS, 2017, 33 (02) : 249 - 256
  • [30] ABOUT ASYMPTOTIC PROBLEMS FOR ORDINARY DIFFERENTIAL-EQUATIONS
    CECCHI, M
    FURI, M
    MARINI, M
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1988, 2B (02): : 333 - 343