We consider a nonlinear transport equation as a hyperbolic generalisation of the well-known reaction diiusion equation. We show the existence of strictly monotone travelling fronts for the three mainâ€¦ (More)

In this paper, we evolve hypersurfaces represented as graphs of strictly convex functions over strictly convex bounded domains by the non-parametric logarithmic GauÃŸ curvature flow subject to aâ€¦ (More)

We consider solutions to linear parabolic equations with initial data decaying at spatial infinity. For a class of advection-diffusion equations with a spatially dependent velocity field, we studyâ€¦ (More)

We consider a nonlinear transport equation as a hyperbolic generalisation of the well-known reaction diffusion equation. Themodel is based on earlier work of K.P. Hadeler attempting to includeâ€¦ (More)

Recently, rod theory has been applied to the mathematical modeling of bacterial fibers and biopolymers (e.g. DNA), to study their mechanical properties and shapes (e.g. supercoiling). In static rodâ€¦ (More)