&nbsp;&nbsp;&nbsp; Stokes方程组的解在四种半无穷柱体上空间衰减性

李远飞, 陈雪姣, 张文彬, 李丹丹

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

数学季刊 >

2022 , Vol. 37 >Issue 1: 61 - 73

DOI: https://doi.org/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

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Department of Apllied Mathematics, Guangzhou Huashang College

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.

收稿日期: 2021-10-04

网络出版日期: 2022-03-30

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).

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

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Department of Apllied Mathematics, Guangzhou Huashang College

Received date: 2021-10-04

Online published: 2022-03-30

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).

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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

本文引用格式

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

Abstract

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

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