Stokes方程组的解在四种半无穷柱体上空间衰减性

doi:10.13371/j.cnki.chin.q.j.m.2022.01.006

数学季刊 ›› 2022, Vol. 37 ›› Issue (1): 61-73.doi: 10.13371/j.cnki.chin.q.j.m.2022.01.006

Stokes方程组的解在四种半无穷柱体上空间衰减性

Department of Apllied Mathematics, Guangzhou Huashang College

收稿日期:2021-10-04 出版日期:2022-03-30 发布日期:2022-03-30
通讯作者: LI Yuan-fei (1982-), male, native of Guangzhou, Guangdong, distinguished professor of Guangzhou Huashang College, engages in partial differential equation E-mail: li20201101@126.com
作者简介:LI Yuan-fei (1982-), male, native of Guangzhou, Guangdong, distinguished professor of Guangzhou Huashang College, engages in partial differential equation; CHEN Xue-jiao (1984-), female, native of Yiyang, Hunan, lecturer of Guangzhou Huashang College, engages in partial differential equation.
基金资助:
Supported by the Key Projects of Universities in Guangdong Province (NATURAL SCI-ENCE) (Grant No. 2019KZDXM042);

Research Team Project of Guangzhou Huashang College (Grant No. 2021HSKT01).

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

Department of Apllied Mathematics, Guangzhou Huashang College

Received:2021-10-04 Online:2022-03-30 Published:2022-03-30
Contact: LI Yuan-fei (1982-), male, native of Guangzhou, Guangdong, distinguished professor of Guangzhou Huashang College, engages in partial differential equation E-mail: li20201101@126.com
About author:LI Yuan-fei (1982-), male, native of Guangzhou, Guangdong, distinguished professor of Guangzhou Huashang College, engages in partial differential equation; CHEN Xue-jiao (1984-), female, native of Yiyang, Hunan, lecturer of Guangzhou Huashang College, engages in partial differential equation.
Supported by:
Supported by the Key Projects of Universities in Guangdong Province (NATURAL SCI-ENCE) (Grant No. 2019KZDXM042);

Research Team Project of Guangzhou Huashang College (Grant No. 2021HSKT01).

摘要/Abstract

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

Abstract: 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.

Key words: Spatial decay estimates, Stokes equations, Total energy

中图分类号:

O175.29

李远飞, 陈雪姣, 张文彬, 李丹丹.

Stokes方程组的解在四种半无穷柱体上空间衰减性 [J]. 数学季刊, 2022, 37(1): 61-73.

LI Yuan-fei, CHEN Xue-jiao, ZHNAG Wen-bin, LI Dan-dan. Spatial Decay Estimates for the Solutions to Stokes Equations in Four Kinds of Semi-Infinite Cylinders[J]. Chinese Quarterly Journal of Mathematics, 2022, 37(1): 61-73.

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Stokes方程组的解在四种半无穷柱体上空间衰减性

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

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