一类各向异性非牛顿微极流体方程组弱解的存在性  

Existence of Weak Solutions for a Class of AnisotropicNon-Newtonian Micropolar Fluid Equations

作　　者：王长佳[1] 石绍力 WANG Changjia;SHI Shaoli(School of Science,Changchun University of Science and Technology,Changchun 130022,China)

机构地区：[1]长春理工大学理学院,长春130022

出　　处：《吉林大学学报（理学版）》2021年第4期837-845,共9页Journal of Jilin University:Science Edition

基　　金：吉林省教育厅“十三五”科学技术研究规划项目(批准号:JJKH20200727KJ).

摘　　要：在三维光滑有界区域Ω中,考虑一类各向异性非牛顿微极流体方程组的第一初边值问题.首先用Galerkin方法构造该问题的逼近解,然后用能量估计方法得到其逼近解的一致性先验估计,最后用致密性方法和单调性方法证明该类问题弱解的存在性.We considered the first initial boundary value problem for a class of anisotropic non-Newtonian fluid equations in a three-dimensional smooth bounded regionΩ.Firstly,we constructed the approximate solution of the problem by using Galerkin method,and then obtained the uniform estimates of the approximate solution by using the energy estimation method.Finally,we proved the existence of the weak solution by using the compact method and the monotone method.

关 键 词：各向异性 非牛顿流 微极流体 弱解 存在性 

分 类 号：O175.2[理学—数学]