Regularization of a non-Newtonian system in an unbounded channel: existence of a maximal compact attractor

被引:51
|
作者
Bloom, F [1 ]
Hao, WG [1 ]
机构
[1] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA
关键词
maximal compact attractor; non-Newtonian system; unbounded channel; nonlinear bipolar fluid;
D O I
10.1016/S0362-546X(99)00232-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The constitutive relations for an isothermal, nonlinear, incompressible bipolar viscous fluid are investigated. For the initial value problem, the existence and uniqueness of the solutions are established. For the space-periodic version of the bipolar viscous problem, the existence and uniqueness of solutions for appropriate values of the constitutive parameters are proven.
引用
收藏
页码:743 / 766
页数:24
相关论文
共 50 条
  • [21] THE DIMENSION OF THE ATTRACTOR FOR THE 3D FLOW OF A NON-NEWTONIAN FLUID
    Bulicek, M.
    Ettwein, F.
    Kaplicky, P.
    Prazak, D.
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (05) : 1503 - 1520
  • [22] FLOW OF A NON-NEWTONIAN FLUID IN A CONVERGENT CHANNEL
    JONES, RS
    LOCKYER, P
    JOURNAL DE MECANIQUE, 1977, 16 (03): : 461 - 491
  • [23] Finite fractal dimension of the global attractor for a class of non-Newtonian fluids
    Málek, J
    Prazák, D
    APPLIED MATHEMATICS LETTERS, 2000, 13 (01) : 105 - 110
  • [24] Existence of weak solutions to a class of non-Newtonian flows
    Bae, HO
    Choe, HJ
    HOUSTON JOURNAL OF MATHEMATICS, 2000, 26 (02): : 387 - 408
  • [25] NON-NEWTONIAN FLUIDS WITH NONSTANDARD RHEOLOGY - EXISTENCE OF SOLUTIONS
    Wroblewska-Kaminska, A.
    TOPICAL PROBLEMS OF FLUID MECHANICS 2015, 2015, : 261 - 272
  • [26] NEWTONIAN AND NON-NEWTONIAN FLOW IN A CHANNEL OBSTRUCTED BY AN ANTISYMMETRIC ARRAY OF CYLINDERS
    GEORGIOU, G
    MOMANI, S
    CROCHET, MJ
    WALTERS, K
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1991, 40 (02) : 231 - 260
  • [27] Study of newtonian and non-Newtonian fluid flow in a channel with a moving indentation
    Neofitou, P
    Drikakis, D
    Leschziner, MA
    CARDIOVASCULAR FLOW MODELLING AND MEASUREMENT WITH APPLICATION TO CLINICAL MEDICINE, 1999, 70 : 39 - 47
  • [28] Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid
    Zhao, Caidi
    Li, Yongsheng
    Zhou, Shengfan
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (08) : 2331 - 2363
  • [29] Existence of solutions for a shear thickening fluid-particle system with non-Newtonian potential
    Song, Yukun
    Liu, Fengming
    OPEN MATHEMATICS, 2018, 16 : 704 - 717
  • [30] AN EXISTENCE RESULT FOR NON-NEWTONIAN FLUIDS IN NON-REGULAR DOMAINS
    Diening, Lars
    Ruzicka, Michael
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2010, 3 (02): : 255 - 268