Periodic and localized states in natural doubly diffusive convection

被引：18

作者：

Bergeon, A. ^{[1
]}

Knobloch, E. ^{[2
]}

机构：

[1] Univ Toulouse 3, CNRS, IMFT, UMR 5502,UFR,MIG, F-31062 Toulouse, France

[2] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2008年 / 237卷 / 08期

基金：

美国国家科学基金会;

关键词：

doubly diffusive instability; localized states; numerical continuation;

D O I：

10.1016/j.physd.2007.11.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical continuation is used to follow branches of steady doubly diffusive convection in a vertical slot driven by imposed horizontal temperature and concentration gradients. No-slip boundary conditions are used on the lateral walls; periodic boundary conditions with large spatial period are used in the vertical direction. A variety of different states, both spatially periodic and spatially localized, are identified and the profusion of the resulting solution branches is linked to a phenomenon known as homoclinic snaking. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1139 / 1150

页数：12

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