Outputs (87)

Thermal convection in a Brinkman–Darcy–Kelvin–Voigt fluid with a generalized Maxwell–Cattaneo law (2022)
Journal Article
Straughan, B. (2023). Thermal convection in a Brinkman–Darcy–Kelvin–Voigt fluid with a generalized Maxwell–Cattaneo law. Annali dell'Universita di Ferrara, 69, 521–540. https://doi.org/10.1007/s11565-022-00448-z

We investigate thoroughly a model for thermal convection of a class of viscoelastic fluids in a porous medium of Brinkman–Darcy type. The saturating fluids are of Kelvin–Voigt nature. The equations governing the temperature field arise from Maxwell–C... Read More about Thermal convection in a Brinkman–Darcy–Kelvin–Voigt fluid with a generalized Maxwell–Cattaneo law.

Effect of anisotropy and boundary conditions on Darcy and Brinkman porous penetrative convection (2022)
Journal Article
Straughan, B. (2022). Effect of anisotropy and boundary conditions on Darcy and Brinkman porous penetrative convection. Environmental Fluid Mechanics, 22, 1233–1252. https://doi.org/10.1007/s10652-022-09888-9

We investigate the effects of anisotropic permeability and changing boundary conditions upon the onset of penetrative convection in a porous medium of Darcy type and of Brinkman type. Attention is focussed on the critical eigenfunctions which show ho... Read More about Effect of anisotropy and boundary conditions on Darcy and Brinkman porous penetrative convection.

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.

Continuous dependence for the Brinkman–Darcy–Kelvin–Voigt equations backward in time (2020)
Journal Article
Straughan, B. (2021). Continuous dependence for the Brinkman–Darcy–Kelvin–Voigt equations backward in time. Mathematical Methods in the Applied Sciences, 44(6), 4999-5004. https://doi.org/10.1002/mma.7082

We show that the solution to the Brinkman–Darcy–Kelvin–Voigt equations backward in time depends Hölder continuously upon the final data. A logarithmic convexity technique is employed, and uniqueness of the solution is simultaneously achieved.

Stability in Kelvin–Voigt poroelasticity (2020)
Journal Article
Straughan, B. (2021). Stability in Kelvin–Voigt poroelasticity. Bollettino dell'Unione Matematica Italiana, 14(2), 357-366. https://doi.org/10.1007/s40574-020-00268-z

Hölder continuous dependence of solutions upon the initial data is established for the linear theory of Kelvin–Voigt poroelasticity requiring only symmetry conditions upon the elastic coefficients. A novel functional is introduced to which a logarith... Read More about Stability in Kelvin–Voigt poroelasticity.

Thermosolutal Convection with a Navier–Stokes–Voigt Fluid (2020)
Journal Article
Straughan, B. (2021). Thermosolutal Convection with a Navier–Stokes–Voigt Fluid. Applied Mathematics and Optimization, 84(3), 2587-2599. https://doi.org/10.1007/s00245-020-09719-7

We present a model for convection in a Navier–Stokes–Voigt fluid when the layer is heated from below and simultaneously salted from below, the thermosolutal convection problem. Instability thresholds are calculated for thermal convection with a disso... Read More about Thermosolutal Convection with a Navier–Stokes–Voigt Fluid.

Jordan – Cattaneo waves: Analogues of compressible flow (2020)
Journal Article
Straughan, B. (2020). Jordan – Cattaneo waves: Analogues of compressible flow. Wave Motion, 98, Article 102637. https://doi.org/10.1016/j.wavemoti.2020.102637

We review work of Jordan on a hyperbolic variant of the Fisher - KPP equation, where a shock solution is found and the amplitude is calculated exactly. The Jordan procedure is extended to a hyperbolic variant of the Chafee – Infante equation. Extensi... Read More about Jordan – Cattaneo waves: Analogues of compressible flow.