Decay estimates for homogeneous Boussinesq equations in a semi-infinite pipe

被引：9
|
作者：
Li, Yuanfei [2 ]
Liu, Yan [1 ]
Lin, Changhao [3 ]
机构：
[1] Guangdong Univ Finance, Dept Appl Math, Guangzhou 510521, Guangdong, Peoples R China
[2] Guangdong Univ Business Studies, Huashang Coll, Dept Accounting, Guangzhou 511300, Guangdong, Peoples R China
[3] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 13期
基金：
中国国家自然科学基金;
关键词：
Boussinesq equations; Incompressible viscous fluid; Decay bounds; Saint-Venant principle; SPATIAL DECAY;
D O I：
10.1016/j.na.2011.03.062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the spatial decay bounds for homogeneous Boussinesq equations in a semi-infinite pipe flow. Assuming that the entrance velocity and magnetic field data are restricted appropriately, and it converges to laminar flow as the distance down the pipe tends to infinity, we derive a second order differential inequality that leads to an exponential decay estimate for the energy E(z, t) defined in (27). We also indicate how to establish the explicit bound for the total energy. (c) 2011 Elsevier Ltd. All rights reserved.
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页码：4399 / 4417
页数：19
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