52 citations · 195 across the 33 of their papers we have counts for
30 papers · 1 filter
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…
Stable and unstable capillary-gravity waves
Vera Mikyoung Hur, Zhao Yang
We develop a rigorous theory of spectral stability and instability for traveling periodic capillary-gravity waves of sufficiently small amplitude in a fluid of finite depth, encomp…
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)…
Traveling water waves -- the ebb and flow of two centuries
Susanna V. Haziot, Vera Mikyoung Hur, Walter Strauss +4
This survey covers the mathematical theory of steady water waves with an emphasis on topics that are at the forefront of current research. These areas include: variational characte…
Overhanging and touching waves in constant vorticity flows
Vera Mikyoung Hur, Miles H. Wheeler
We show the existence of periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow, under gravity, whose profiles are overhang…
Superharmonic instability for regularized long-wave models
Jared C. Bronski, Vera Mikyoung Hur, Samuel Lee Wester
We examine the spectral stability and instability of periodic traveling waves for regularized long-wave models. Examples include the regularized Boussinesq, Benney--Luke, and Benja…