|
|||||
|
|
Spatial decay bounds for the channel flow of the Boussinesq equations |
|
| Authors: | Yan Liu Yiwu Lin |
| Affiliation: | a Department of Applied Mathematics, Guangdong University of Finance, Guangzhou 510521, PR China b Department of Accounting, Huashang College, Guangdong University of Business Studies, Guangzhou 511300, PR China c School of Mathematics and Computational Science, Sun Yat-Sen University, 510275, PR China |
| Abstract: | In this paper, we consider the Boussinesq equations in a semi-infinite channel. We show that, under appropriate restrictions on the data, if the fluid velocity initially is small, the solution will tend exponentially to a transient laminar flow as the distance from the entry section tends to infinity. We also derive the explicit decay bounds. |
| Keywords: | Boussinesq equations Incompressible viscous fluid Decay bounds Saint-Venant?s principle |
| 本文献已被 ScienceDirect 等数据库收录！ | |