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.

引用

页码：4399 / 4417

页数：19

共 26 条

[1] DECAY-ESTIMATES IN STEADY PIPE-FLOW
AMES, KA
PAYNE, LE
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (04) : 789 - 815
[2] SPATIAL DECAY-ESTIMATES IN TIME-DEPENDENT STOKES-FLOW
AMES, KA
PAYNE, LE
SCHAEFER, PW
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (06) : 1395 - 1413
[3] Amick CJ., 1977, Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, V4, P473
[4] [Anonymous], S INT APPL AN FIZ MA
[5] [Anonymous], 1951, ANN MATH STUD
[6] Babuska I., 1972, The mathematical foundations of the finite element method with applications to partial differential equations, P5
[7] Boley B.A., 1960, Quart. Appl. Math., V18, P205
[8] THE DETERMINATION OF TEMPERATURE, STRESSES, AND DEFLECTIONS IN 2-DIMENSIONAL THERMOELASTIC PROBLEMS
BOLEY, BA
[J]. JOURNAL OF THE AERONAUTICAL SCIENCES, 1956, 23 (01): : 67 - 75
[9] Cannon J., 1980, Lecture Notes in Math., V771, P129
[10] Horgan C.O., 1989, APPL MECH REV, V42, P295, DOI DOI 10.1115/1.3152414

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