12 citations · 19 across the 7 of their papers we have counts for
9 papers
The role of mutants in the spatio-temporal progression of inflammatory bowel disease: three classes of permanent form travelling waves
Blaine van Rensburg, David J. Needham, Fabian Spill +1
Despite its high prevalence and impact on the lives of those affected, a complete understanding of the cause of inflammatory bowel disease (IBD) is lacking. In this paper, we inves…
KPP fronts in shear flows with cut-off reaction rates
D. J. Needham, A. Tzella
We consider the effect of a shear flow which has, without loss of generality, a zero mean flow rate, on a Kolmogorov--Petrovskii--Piscounov (KPP) type model in the presence of a di…
The Evolution of Travelling Waves in a KPP Reaction-Diffusion Model with cut-off Reaction Rate. II. Evolution of Travelling Waves
A. D. O. Tisbury, D. J. Needham, A. Tzella
In Part II of this series of papers, we consider an initial-boundary value problem for the Kolmogorov--Petrovskii--Piscounov (KPP) type equation with a discontinuous cut-off in the…
Diffusion in arrays of obstacles: beyond homogenisation
Yahya Farah, Daniel Loghin, Alexandra Tzella +1
We revisit the classical problem of diffusion of a scalar (or heat) released in a two-dimensional medium with an embedded periodic array of impermeable obstacles such as perforatio…
Chemical front propagation in periodic flows: FKPP vs G
Alexandra Tzella, Jacques Vanneste
We investigate the influence of steady periodic flows on the propagation of chemical fronts in an infinite channel domain. We focus on the sharp front arising in Fisher--Kolmogorov…
Dispersion in rectangular networks: effective diffusivity and large-deviation rate function
Alexandra Tzella, Jacques Vanneste
The dispersion of a diffusive scalar in a fluid flowing through a network has many applications including to biological flows, porous media, water supply and urban pollution. Motiv…