Showing 2026Show all
2 papers · 1 filter
math.AP2026
Global asymptotic stability of KdV-Burgers fronts in a weakly two-dimensional model
Jared C. Bronski, Olivia Clifton, Vera Mikyoung Hur
We study front-type solutions of nonlinear dispersive-dissipative PDEs modeling the propagation of undular bores in a channel in two dimensions. The system extends the Korteweg-de…
math.DS2026
Kernel-Dependent Pattern Formation in a Population Model with Nonlocal Facilitation and Competition
Olivia Clifton, Stephanie Dodson, Daniel B. Cooney
Spatial patterns, such as those in dryland vegetation models, have historically been studied in systems of reaction-diffusion systems with pattern onset via a Turing bifurcation fr…