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BIFURCATIONS OF STATIONARY, STANDING AND TRAVELING WAVES IN TRIPLY DIFFUSIVE CONVECTION
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UNSPECIFIED (1995) BIFURCATIONS OF STATIONARY, STANDING AND TRAVELING WAVES IN TRIPLY DIFFUSIVE CONVECTION. PHYSICA D, 81 (4). pp. 374-397. ISSN 0167-2789.
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Abstract
In this paper we investigate the linear and nonlinear stability of two-dimensional convection in a triply diffusive fluid layer assuming stress-free boundary conditions in the vertical direction and periodic boundary conditions in the horizontal direction. In particular we are interested in the competition between steady and oscillatory rolls. Stability curves for the onset of steady and oscillatory finite amplitude convection are determined and are shown to intersect in a variety of different ways leading to a number of codimension-two and -three bifurcations. Amplitude equations describing the dynamics close to the steady and oscillatory modes are derived using Liapunov-Schmidt reduction, while centre manifold and normal form methods are used to study a mode interaction involving steady and oscillatory modes with the same spatial wavenumber. Bifurcation diagrams are presented and numerical studies are carried out for two triply diffusive systems: NaCl-KCl-sucrose and heat-KCl-sucrose.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 15 March 1995 | ||||
Dates: |
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Volume: | 81 | ||||
Number: | 4 | ||||
Number of Pages: | 24 | ||||
Page Range: | pp. 374-397 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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