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math.AP2026
Stable and unstable capillary-gravity waves
Vera Mikyoung Hur, Zhao Yang
We make rigorous spectral stability analysis for non-resonant capillary-gravity waves as well as resonant Wilton ripples of sufficiently small amplitude. Our analysis is based on a…
math.AP2025
Asymptotic stability of sharp fronts: Analysis and rigorous computation
Blake Barker, Jared C. Bronski, Vera Mikyoung Hur +1
We investigate the stability of traveling front solutions to nonlinear diffusive-dispersive equations of Burgers type, with a primary focus on the Korteweg-de Vries-Burgers (KdVB)…