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
  • [41] Existence of regular solutions for a certain type of non-Newtonian fluids
    Kang, Kyungkeun
    Kim, Hwa Kil
    Kim, Jae-Myoung
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (04):
  • [42] Existence, regularity, and decay rate of solutions of non-Newtonian flow
    Bae, HO
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 231 (02) : 467 - 491
  • [43] Reversal of flow of a non-Newtonian fluid in an expanding channel
    Harley, C.
    Momoniat, E.
    Rajagopal, K. R.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2018, 101 : 44 - 55
  • [44] Existence of regular solutions for a certain type of non-Newtonian fluids
    Kyungkeun Kang
    Hwa Kil Kim
    Jae-Myoung Kim
    Zeitschrift für angewandte Mathematik und Physik, 2019, 70
  • [45] Existence and uniqueness of compressible MHD solutions for non-Newtonian fluids
    Meng, Qiu
    Xing, Huifang
    Zhao, Yuanyuan
    Yang, Wucai
    JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (12)
  • [46] FLOW POTENTIALS OF A NON-NEWTONIAN SUSPENSION IN A VISCOMETER CHANNEL
    BIBIK, EE
    MAZURENKO, OM
    COLLOID JOURNAL OF THE USSR, 1986, 48 (04): : 711 - 712
  • [47] Flow reversals of a non-Newtonian fluid in an expanding channel
    Herbst, R. S.
    Harley, C.
    Rajagopal, K. R.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2023, 154
  • [48] Peristaltic Motion of a non-Newtonian Nanofluid in an Asymmetric Channel
    Abbasi, Fahad Munir
    Hayat, Tasawar
    Ahmad, Bashir
    Chen, Guo-Qian
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2014, 69 (8-9): : 451 - 461
  • [49] UNSTEADY NON-NEWTONIAN FLOW IN A ROTATING SYSTEM
    BASU, U
    DEBNATH, L
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (07): : A778 - A778
  • [50] GEVREY CLASS REGULARITY FOR THE GLOBAL ATTRACTOR OF A TWO-DIMENSIONAL NON-NEWTONIAN FLUID
    赵才地
    林泽瀚
    T.Tachim MEDJO
    Acta Mathematica Scientia, 2022, 42 (01) : 265 - 282