3 papers
nlin.PS2020
Multi-Spike Patterns in the Gierer-Meinhardt System with a Non-Zero Activator Boundary Flux
Daniel Gomez, Juncheng Wei
The structure, linear stability, and dynamics of localized solutions to singularly perturbed reaction-diffusion equations has been the focus of numerous rigorous, asymptotic, and n…
nlin.PS2019
The Stability and Dynamics of Localized Spot Patterns for a Bulk-Membrane Coupled Brusselator Model
Daniel Gomez
We consider a bulk-membrane-coupled partial differential equation in which a single diffusion equation posed within the unit ball is coupled to a two-component reaction diffusion e…
nlin.PS2018
The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer-Meinhardt Model
Daniel Gomez, Michael J. Ward, Juncheng Wei
We analyze a coupled bulk-membrane PDE model in which a scalar linear 2-D bulk diffusion process is coupled through a linear Robin boundary condition to a two-component 1-D reactio…