Outputs (4)

Thermal convection with generalized friction (2021)
Journal Article
Straughan, B. (2022). Thermal convection with generalized friction. Annali dell'Universita di Ferrara, 68(1), 63-68. https://doi.org/10.1007/s11565-021-00382-6

A model for thermal convection with generalized friction is investigated. It is shown that the linear instability threshold is the same as the global stability one. In addition, decay of the energy in the L2 norm is shown for the perturbation velocit... Read More about Thermal convection with generalized friction.

Continuous dependence and convergence for a Kelvin–Voigt fluid of order one (2021)
Journal Article
Straughan, B. (2022). Continuous dependence and convergence for a Kelvin–Voigt fluid of order one. Annali dell'Universita di Ferrara, 68(1), 49-61. https://doi.org/10.1007/s11565-021-00381-7

It is shown that the solution to the boundary - initial value problem for a Kelvin–Voigt fluid of order one depends continuously upon the Kelvin–Voigt parameters, the viscosity, and the viscoelastic coefficients. Convergence of a solution is also sho... Read More about Continuous dependence and convergence for a Kelvin–Voigt fluid of order one.

Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One (2021)
Journal Article
Straughan, B. (2021). Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One. Applied Mathematics and Optimization, 84(S1), 631-650. https://doi.org/10.1007/s00245-021-09781-9

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... Read More about Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One.

Instability thresholds for thermal convection in a Kelvin–Voigt fluid of variable order (2021)
Journal Article
Straughan, B. (2022). Instability thresholds for thermal convection in a Kelvin–Voigt fluid of variable order. Rendiconti del Circolo Matematico di Palermo Series 2, 71(1), 187-206. https://doi.org/10.1007/s12215-020-00588-1

We present numerical techniques for calculating instability thresholds in a model for thermal convection in a complex viscoelastic fluid of Kelvin–Voigt type. The theory presented is valid for various orders of an exponential fading memory term, and... Read More about Instability thresholds for thermal convection in a Kelvin–Voigt fluid of variable order.