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Published July 1, 1988 | public
Journal Article Open

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

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.

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)].

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August 22, 2023
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