Chinese Quarterly Journal of Mathematics ›› 2022, Vol. 37 ›› Issue (1): 61-73.doi: 10.13371/j.cnki.chin.q.j.m.2022.01.006

Previous Articles     Next Articles

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

  

  1. 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).

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

CLC Number: