The critical wave number for the planar Benard problem is unique

被引：4

作者：

Jeng, JH ^{[1
]}

Hassard, B

机构：

[1] Ishou Univ, Dept Informat Engn, Kaohsiung, Taiwan

[2] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1999年 / 34卷 / 02期

关键词：

Rayleigh-Benard; bifurcation; convection; hydrodynamic stability; Boussinesq equations;

D O I：

10.1016/S0020-7462(97)00078-4

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The neutral stability equation F(k, R) = 0 for the Planar Benard Problem with non-slip boundary conditions is studied. It is proven that there is a pair (k*, R*) in the domain of F for which F(k*, R*) = 0, such that if (k, R) not equal (k*, R*) is also in the domain and satisfies F(k, R) = 0 then R > R*. Approximations to k* and R* of guaranteed accuracy are given. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：221 / 229

页数：9