Global weak solutions to a model of micropolar fluids with Maxwell-Cattaneo heat transfer law

被引：2
|
作者：
Hamdache, K. [1 ]
Hamroun, D. [2 ]
Louardani, A. [2 ]
机构：
[1] Leonard de Vinci Pole Univ, Res Ctr, Modelisat Grp, F-92916 Paris, La Defense, France
[2] Univ USTHB, Lab AMNEDP, Fac Math, Algiers, Algeria
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 142卷
关键词：
Micropolar fluid flows; Maxwell-Cattaneo heat transfer law; Incompressible Navier-Stokes equations; CONTINUOUS DEPENDENCE; SPATIAL GEOMETRY; CONVECTION; BOUNDS;
D O I：
10.1016/j.na.2016.04.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is devoted to the study of a system describing the dynamics of a heated micropolar fluid under the action of an applied magnetic field. The heat transfer is subjected to Maxwell-Cattaneo law instead of the usual Fourier law. Thanks to regularization and compactness methods the global existence in time of weak solutions with finite energy has been proved. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：69 / 96
页数：28
相关论文
共 50 条
  • [1] Global Weak Solutions to Magnetic Fluid Flows with Nonlinear Maxwell-Cattaneo Heat Transfer Law
    Aggoune, F.
    Hamdache, K.
    Hamroun, D.
    JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2015, 17 (01) : 103 - 127
  • [2] Global Weak Solutions to Magnetic Fluid Flows with Nonlinear Maxwell–Cattaneo Heat Transfer Law
    F. Aggoune
    K. Hamdache
    D. Hamroun
    Journal of Mathematical Fluid Mechanics, 2015, 17 : 103 - 127
  • [3] Convective instabilities of Maxwell-Cattaneo fluids
    Eltayeb, I. A.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 473 (2201):
  • [4] Magnetohydrodynamic squeezing micropolar nanofluid flow confined in parallel disks with implication of Maxwell-Cattaneo law
    Shehzad, S. A.
    Reddy, M. G.
    Rauf, A.
    Mushtaq, T.
    Abbasi, F. M.
    PHYSICA SCRIPTA, 2023, 98 (06)
  • [5] Double diffusion convection of Maxwell-Cattaneo fluids in a vertical slot
    Sun, Yanjun
    Wang, Jialu
    Jia, Beinan
    Chang, Long
    Jian, Yongjun
    OPEN PHYSICS, 2024, 22 (01):
  • [6] Three-dimensional rotatory micropolar fluid flow between two stretchable disks with Maxwell-Cattaneo law
    Shehzad, S. A.
    Rauf, A.
    Mushtaq, T.
    Alahmadi, H.
    JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY, 2024, 149 (01) : 425 - 438
  • [7] Convective heat transfer in Brinkman-Darcy-Kelvin-Voigt fluid with couple stress and generalized Maxwell-Cattaneo law
    Saravanan, P.
    Mahajan, Amit
    PHYSICS OF FLUIDS, 2024, 36 (09)
  • [8] MAXWELL-CATTANEO LAW OF HEAT CONDUCTION THROUGH POROUS FERROCONVECTION WITH MAGNETIC FIELD DEPENDENT VISCOSITY
    Shree, V. V.
    Rudresha, C.
    Balaji, C.
    Maruthamanikandan, S.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (04): : 1722 - 1735
  • [9] Soret-driven convection of Maxwell-Cattaneo fluids in a vertical channel
    Sun, Yanjun
    Jia, Beinan
    Chang, Long
    Jian, Yongjun
    EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2024, 107 : 17 - 28
  • [10] Robustness of the nonequilibrium entropy related to the Maxwell-Cattaneo heat equation
    Alvarez, F. X.
    Casas-Vazquez, J.
    Jou, D.
    PHYSICAL REVIEW E, 2008, 77 (03):
12345