Attractor bifurcation of three-dimensional double-diffusive convection

被引：0

作者：

Hsia, Chun-Hsiung ^{[1
]}

Ma, Tian ^{[2
]}

Wang, Shouhong ^{[3
]}

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan

[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[3] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2008年 / 27卷 / 02期

关键词：

attractor bifurcation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present a bifurcation analysis on the double-diffusive convection. Two pattern selections, rectangles and squares, are investigated. It is proved that there are two different types of attractor bifurcations depending on the thermal and salinity Rayleigh numbers for each pattern. The analysis is based on a newly developed attractor bifurcation theory, together with eigen-analysis and the center manifold reductions.

引用

页码：233 / 252

页数：20

共 50 条

[41] DOUBLE-DIFFUSIVE CONVECTION IN A VISCOELASTIC FLUID
Kumar, Pardeep
Mohan, Hari
[J]. TAMKANG JOURNAL OF MATHEMATICS, 2012, 43 (03): : 365 - 374
[42] DOUBLE-DIFFUSIVE CONVECTION WITH HORIZONTAL GRADIENTS
SIEGMANN, WL
[J]. TRANSACTIONS-AMERICAN GEOPHYSICAL UNION, 1974, 55 (04): : 306 - 306
[43] DOUBLE-DIFFUSIVE CONVECTION WITH FINE DUST
SHARMA, RC
RANI, N
[J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 1989, 39 (07) : 710 - 716
[44] Double-diffusive convection in Lake Kivu
Schmid, Martin
Busbridge, Myles
Wueest, Alfred
[J]. LIMNOLOGY AND OCEANOGRAPHY, 2010, 55 (01) : 225 - 238
[45] Equilibrium transport in double-diffusive convection
Radko, Timour
Smith, D. Paul
[J]. JOURNAL OF FLUID MECHANICS, 2012, 692 : 5 - 27
[46] Double-diffusive convection in groundwater wells
Love, Andrew J.
Simmons, Craig T.
Nield, D. A.
[J]. WATER RESOURCES RESEARCH, 2007, 43 (08)
[47] Double-diffusive convection in liquid Freon
Dupont, P
Gorieu, O
Peerhossaini, H
Kestoras, M
[J]. HEAT TRANSFER 1998, VOL 3: GENERAL PAPERS, 1998, : 349 - 354
[48] Complex dynamics in double-diffusive convection
Meca, E
Mercader, I
Batiste, O
Ramírez-Piscina, L
[J]. THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2004, 18 (2-4) : 231 - 238
[49] The onset of penetrative double-diffusive convection
Kato, Y
Hashiba, M
Fujimura, K
[J]. FLUID DYNAMICS RESEARCH, 2003, 32 (06) : 295 - 316
[50] Sugar Fingers and Double-Diffusive Convection
Heavers, Richard M.
Collucci, Liza A.
[J]. JOURNAL OF CHEMICAL EDUCATION, 2009, 86 (11) : 1326 - 1329

← 1 2 3 4 5 →