Global regularity of the 2D micropolar fluid flows with zero angular viscosity
Global regularity of the 2D micropolar fluid flows with zero angular viscosity
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DOI：
10.1016/j.jde.2010.03.016
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发表时间：
2010-07
影响因子：
2.4
通讯作者：
Bo-Qing Dong;Zhifei Zhang
中科院分区：
文献类型：
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作者：
Bo-Qing Dong;Zhifei Zhang
在本文中，我们考虑了粘性不可压缩微极流体流动的柯西问题，它可以看作是一个具有非对称应力张量的非牛顿流体模型[11，12]。从模型的观点来看，微极流体模型与不可压缩的Navier-Stokes方程、微转动效应和微转动惯量相耦合。它们是所谓的具有非对称应力张量的非牛顿流体。在物理上，它可以代表由棒状元件组成的流体。某些各向异性流体，如由哑铃分子组成的液晶，就属于这种类型。不可压缩微极流体在整个空间中运动的三维数学模型(见[12，公式(4.15)，(6.9)，(6.10)])表示为
In this paper, we consider the Cauchy problem to the viscous incompressible micropolar fluid flows, which can be viewed as a non-Newtonian fluid model with asymmetric stress tensor [11, 12]. From the model viewpoint, the micropolar fluid model is coupled with the incompressible Navier–Stokes equations, micro-rotational effects and micro-rotational inertia. They are so-called non-Newtonian fluids with nonsymmetric stress tensor. Physically it may represent the fluids consisting of bar-like elements. Certain anisotropic fluids, eg liquid crystals which are made up of dumbbell molecules, are of this type. The three-dimensional mathematical model of the incompressible micropolar fluid motion in whole spaces (see [12, Eqs.(4.15),(6.9),(6.10)]) is expressed as