8 papers
Host-virus evolutionary dynamics with specialist and generalist infection strategies: bifurcations, bistability and chaos
Anel Nurtay, Matthew G. Hennessy, Lluís Alsedà +2
In this work we have investigated the evolutionary dynamics of a generalist pathogen, e.g. a virus population, that evolves towards specialisation in an environment with multiple h…
Asymptotic reduction, solution, and homogenisation of a thermo-electrochemical model for a lithium-ion battery
Matthew G. Hennessy, Iain R. Moyles
We study two thermo-electrochemical models for lithium-ion batteries. The first is based on volume averaging the electrode microstructure whereas the second is based on the pseudo-…
The one-dimensional Stefan problem with non-Fourier heat conduction
Marc Calvo-Schwarzwälder, Timothy G. Myers, Matthew G. Hennessy
We investigate the one-dimensional growth of a solid into a liquid bath, starting from a small crystal, using the Guyer-Krumhansl and Maxwell-Cattaneo models of heat conduction. By…
The Stefan problem with variable thermophysical properties and phase change temperature
Timothy G. Myers, Matthew G. Hennessy, Marc Calvo-Schwarzwälder
In this paper we formulate a Stefan problem appropriate when the thermophysical properties are distinct in each phase and the phase-change temperature is size or velocity dependent…
Effective thermal conductivity of rectangular nanowires based on phonon hydrodynamics
Marc Calvo-Schwarzwälder, Matthew G. Hennessy, Pol Torres +2
A mathematical model is presented for thermal transport in nanowires with rectangular cross sections. Expressions for the effective thermal conductivity of the nanowire across a ra…
Modelling ultra-fast nanoparticle melting with the Maxwell-Cattaneo equation
Matthew G. Hennessy, Marc Calvo-Schwarzwälder, Timothy G. Myers
The role of thermal relaxation in nanoparticle melting is studied using a mathematical model based on the Maxwell--Cattaneo equation for heat conduction. The model is formulated in…