Outputs (5)

Continuous dependence on modelling for temperature-dependent bidispersive flow (2017)
Journal Article
Franchi, F., Nibbi, R., & Straughan, B. (2017). Continuous dependence on modelling for temperature-dependent bidispersive flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473(2208), Article 20170485. https://doi.org/10.1098/rspa.2017.0485

We consider a model for flow in a porous medium which has a double porosity structure. There is the usual porosity herein called macro porosity, but in addition, we allow for a porosity due to cracks or fissures in the solid skeleton. The cracks give... Read More about Continuous dependence on modelling for temperature-dependent bidispersive flow.

Bidispersive vertical convection (2017)
Journal Article
Gentile, M., & Straughan, B. (2017). Bidispersive vertical convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473(2207), Article 20170481. https://doi.org/10.1098/rspa.2017.0481

A bidispersive porous material is one which has usual pores but additionally contains a system of micro pores. We consider a fluid-saturated bidispersive porous medium in the vertical layer x ∈ (−1/2, 1/2) with gravity in the −z (downward) direction.... Read More about Bidispersive vertical convection.

Modelling Bidispersive Local Thermal Non-Equilibrium Flow (2017)
Journal Article
Franchi, F., Nibbi, R., & Straughan, B. (2017). Modelling Bidispersive Local Thermal Non-Equilibrium Flow. Fluids, 2(3), Article 48. https://doi.org/10.3390/fluids2030048

In this work, we present a system of equations which describes non-isothermal flow in a bidispersive porous medium under conditions of local thermal non-equilibrium. The porous medium consists of macro pores, and in the solid skeleton are cracks or f... Read More about Modelling Bidispersive Local Thermal Non-Equilibrium Flow.

Bidispersive thermal convection (2017)
Journal Article
Gentile, M., & Straughan, B. (2017). Bidispersive thermal convection. International Journal of Heat and Mass Transfer, 114, 837-840. https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.095

We obtain the linear instability and nonlinear stability thresholds for a problem of thermal convection in a bidispersive porous medium with a single temperature. It is important to note that we show that the linear instability threshold is the same... Read More about Bidispersive thermal convection.

Modelling drinking with information (2017)
Journal Article
Giacobbe, A., Mulone, G., Straughan, B., & Wang, W. (2017). Modelling drinking with information. Mathematical Methods in the Applied Sciences, 40(12), 4400-4411. https://doi.org/10.1002/mma.4312

In this article, we propose a mathematical model that describes the dynamics of a population divided into susceptible drinkers, moderate drinkers, and heavy drinkers subject to an external influence. The external influence is modelled using a supplem... Read More about Modelling drinking with information.