Spatial Decay Estimates for the Solutions to Stokes Equations in Four Kinds of Semi-Infinite Cylinders  

Stokes方程组的解在四种半无穷柱体上空间衰减性

作　　者：LI Yuan-fei CHEN Xue-jiao ZHNAG Wen-bin LI Dan-dan 李远飞;陈雪姣;张文彬;李丹丹(Department of Apllied Mathematics,Guangzhou Huashang College,Guangzhou 511300,China)

机构地区：[1]Department of Apllied Mathematics,Guangzhou Huashang College,Guangzhou 511300,China

出　　处：《Chinese Quarterly Journal of Mathematics》2022年第1期61-73,共13页数学季刊（英文版）

基　　金：Supported by the Key Projects of Universities in Guangdong Province(NATURAL SCIENCE)(Grant No.2019KZDXM042);Research Team Project of Guangzhou Huashang College(Grant No.2021HSKT01).

摘　　要：This paper investigates the spatial behavior of the solutions of the Stokes equations in a semi-infinite cylinder.We consider four kinds of semi-infinite cylinders with boundary conditions of Dirichlet type.For each type of cylinder we obtain the spatial decay estimates for the solutions.To make the attenuation meaningful,we derive the explicit bound for the total energy in terms of the initial boundary data.

关 键 词：Spatial decay estimates Stokes equations Total energy 

分 类 号：O175.29[理学—数学]