Connor Smith

collaborators

2 papers

math.AP2019

Nonlinear Instability of Periodic Traveling Waves

Connor Smith

We study the local dynamics of $L^{2} (R)$ -perturbations to the zero solution of spatially $2 π$ -periodic coefficient reaction-diffusion systems. In this case the…

math.AP2018

On the Dynamics of Traveling Fronts Arising in Nanoscale Pattern Formation

Mathew A. Johnson, Gregory D. Lyng, Connor Smith

We study the stability and dynamics of traveling-front solutions of a modified Kuramoto--Sivashinsky equation arising in the modeling of nanoscale ripple patterns that form when a…