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Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One

Straughan, Brian

Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One Thumbnail


Brian Straughan


We present a model for convection in a Kelvin–Voigt fluid of order one when the layer is heated from below and simultaneously salted from below, a problem of competitive double diffusion since heating from below promotes instability, but salting from below is stabilizing. The instability surface threshold is calculated and this has a complex shape. The Kelvin–Voigt parameters play an important role in acting as stabilizing agents when the convection is of oscillatory type. Quantitative values of the instability surface are displayed. The nonlinear stability problem is briefly addressed.


Straughan, B. (2021). Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One. Applied Mathematics and Optimization, 84(S1), 631-650.

Journal Article Type Article
Acceptance Date Apr 19, 2021
Online Publication Date May 6, 2021
Publication Date 2021-12
Deposit Date Jul 15, 2021
Publicly Available Date Jul 15, 2021
Journal Applied Mathematics & Optimization
Print ISSN 0095-4616
Electronic ISSN 1432-0606
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 84
Issue S1
Pages 631-650


Published Journal Article (Advance Online Version) (514 Kb)

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