微极流体方程组零角度和黏性极限的边界效应

发布时间：2018-01-30 12:37

本文关键词： 边界层边界层厚度收敛率　出处：《厦门大学学报(自然科学版)》2017年01期 　论文类型：期刊论文

【摘要】：微极流体模型能够描述带有悬浮颗粒的黏性不可压流体的运动.考虑一类二位不可压缩微极流体方程组的初边值问题,证明了当角度和微旋转黏性(r;ζ)趋于0时,方程组的解收敛于角度和微旋转黏性系数为零时方程的整体弱解.研究了微极流体方程组零角度和黏性极限的边界效应,给出了边界层厚度的阶数O(rβ)(0β23).与Chen等的结果相比,该边界层厚度更薄,并且提高了收敛率。
[Abstract]:The model of micropolar fluid can describe the motion of viscous incompressible fluid with suspended particles. The initial-boundary value problem of a class of two-position incompressible micropolar fluid equations is considered. When 味) tends to 0:00, the solution of the equations converges to the global weak solution of the 00:00 equation and the micro-rotational viscosity coefficient is the global weak solution. The boundary effect of the zero angle and the viscosity limit of the micropolar fluid equations is studied. The order of the boundary layer thickness is given. Compared with the results of Chen et al, the thickness of the boundary layer is thinner and the convergence rate is improved.
【作者单位】：东北电力大学理学院;
【基金】：国家自然科学基金(11271153) 高等学校博士学科点专项科研基金(20140101-20161231) 吉林省科技发展计划项目(20150101002JC) 吉林省教育厅“十三五”科学技术研究项目(吉教科合字[2016]第81号) 东北电力大学博士科研启动基金(BSJXM-201331)
【分类号】：O175
【正文快照】： (1):97-101.Citation:ZHU X L,LI H P,XU Z H.The boundary effects for the micropolar fluid equations with zero limits of angular and mi-cro-rotational viscosities[J].J Xiamen Univ Nat Sci,2017,56(1):97-101.(in Chinese)讨论一类微极流体方程组:ut+u·Δu+Δπ=(

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