Refined stability thresholds for localized spot patterns for the Brusselator model in R-2

摘要

In the singular perturbation limit epsilon -> 0, we analyse the linear stability of multi-spot patterns on a bounded 2-D domain, with Neumann boundary conditions, as well as periodic patterns of spots centred at the lattice points of a Bravais lattice in R-2, for the Brusselator reaction- diffusion model