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Journal article

Hopf-Hopf and Hopf-Steady mode interactions with O(2) symmetry in Langmuir circulations

Abstract:: In this paper the nonlinear stability of two-dimensional Langmuir circulations in a fluid layer, stratified by vertical thermal and salinity gradients, is investigated when two distinct wavenumbers become simultaneously unstable. These instabilities take the form of O(2) symmetric Hopf-Hopf and Hopf-Steady bifurcations when the lateral boundary conditions are assumed to be periodic. In the analysis of the Hopf-Hopf bifurcation a disagreement with the group theoretic work of Chossat et al. (19...
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Publication status:: Published

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APA Style

Allen, T., & Moroz, I. (1997). Hopf-Hopf and Hopf-Steady mode interactions with O(2) symmetry in Langmuir circulations. GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 85(3-4), 243–278.

MLA Style

Allen, T., and I. Moroz. “Hopf-Hopf and Hopf-Steady Mode Interactions with O(2) Symmetry in Langmuir Circulations.” GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, vol. 85, no. 3-4, 1997, pp. 243–78.

Chicago Style

Allen, T, and I Moroz. 1997. “Hopf-Hopf and Hopf-Steady Mode Interactions with O(2) Symmetry in Langmuir Circulations.” GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS 85 (3-4): 243–78.
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Publisher copy:: 10.1080/03091929708208991

Authors

+ Allen, T More by this author

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Author

+ Moroz, I More by this author

Institution:

University of Oxford

Division:

MPLS

Department:

Mathematical Institute

Role:

Author

Bibliographic Details

Journal:: GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS
Volume:: 85
Issue:: 3-4
Pages:: 243-278
Publication date:: 1997-01-01
DOI:: 10.1080/03091929708208991
EISSN:: 1029-0419
ISSN:: 0309-1929

Item Description

Keywords:: multicomponent convection

multiple bifurcations

spatial resonance

O(2) symmetry

multiple scales
Pubs id:: pubs:30707
UUID:: uuid:3844eb8e-6cbc-40b7-ade2-ce0ff9d8ba8d
Local pid:: pubs:30707
Source identifiers:: 30707
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 1997

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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