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Existence of a codimension-2 point at the threshold of binary-fluid convection between rigid, impermeable boundaries

Cross, M. C. and Kim, K. (1988) Existence of a codimension-2 point at the threshold of binary-fluid convection between rigid, impermeable boundaries. Physical Review A, 38 (1). pp. 529-530. ISSN 0556-2791. doi:10.1103/PhysRevA.38.529. https://resolver.caltech.edu/CaltechAUTHORS:CROpra88b

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Abstract

Numerical calculation of the linear instability to oscillatory and stationary convection in binary-fluid mixtures between rigid, impermeable boundaries shows that the critical wave number and frequency of the oscillatory solution jump discontinuously as the threshold Rayleigh number is followed as a function of fluid parameters, contrary to a recent claim of B. J. A. Zielinska and H. R. Brand [Phys. Rev. A 35, 4349 (1987)]. A degenerate codimension-2 point is found only if the wave numbers of the onset solutions are constrained.


Item Type:Article
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https://doi.org/10.1103/PhysRevA.38.529DOIUNSPECIFIED
Additional Information:©1988 The American Physical Society Received 17 July 1987 Editor's note. The reader should note that an Erratum to Ref. 2 by J. A. Zielinska and H. R. Brand, which was submitted subsequent to the submission of this paper, has recently appeared [Phys. Rev. A 37, 1786 (1988)].
Issue or Number:1
DOI:10.1103/PhysRevA.38.529
Record Number:CaltechAUTHORS:CROpra88b
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:CROpra88b
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5638
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:26 Oct 2006
Last Modified:08 Nov 2021 20:27

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