2 papers
math.AP2024
An Asymptotic Analysis of Spike Self-Replication and Spike Nucleation of Reaction-Diffusion Patterns on Growing 1-D Domains
Chunyi Gai, Edgardo Villar-Sepulveda, Alan Champneys +1
In the asymptotic limit of a large diffusivity ratio, certain two-component reaction-diffusion (RD) systems can admit localized spike solutions on a 1-D finite domain in a far-from…
nlin.PS2020
Spot Patterns in the 2-D Schnakenberg Model with Localized Heterogeneities
Tony Wong, Michael J. Ward
A hybrid asymptotic-numerical theory is developed to analyze the effect of different types of localized heterogeneities on the existence, linear stability, and slow dynamics of loc…