6 citations · 14 across the 5 of their papers we have counts for
5 papers
Invasion and non-invasion on a time-periodic domain
Jane Allwright
For a two-species reaction-diffusion-competition system on a domain that translates at constant speed and/or whose boundary varies periodically with time, we prove sufficient condi…
Reaction-Diffusion Problems on Time-Periodic Domains
Jane Allwright
Reaction-diffusion equations are studied on bounded, time-periodic domains with zero Dirichlet boundary conditions. The long-time behaviour is shown to depend on the principal peri…
Reaction-diffusion on a time-dependent interval: refining the notion of 'critical length'
Jane Allwright
A reaction-diffusion equation is studied in a time-dependent interval whose length varies with time. The reaction term is either linear or of KPP type. On a fixed interval, it is w…
Exact Solutions and Critical Behaviour for a Linear Growth-Diffusion Equation on a Time-Dependent Domain
Jane Allwright
A linear growth-diffusion equation is studied in a time-dependent interval whose location and length both vary. We prove conditions on the boundary motion for which the solution ca…
Pipe Poiseuille flow of viscously anisotropic, partially molten rock
Jane Allwright, Richard F Katz
Laboratory experiments in which synthetic, partially molten rock is subjected to forced deformation provide a context for testing hypotheses about the dynamics and rheology of the…