52 citations · 195 across the 33 of their papers we have counts for
41 papers
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…
Stokes waves in rotational flows: internal stagnation and overhanging profiles
Alex Doak, Vera Mikyoung Hur, Jean-Marc Vanden-Broeck
Periodic travelling waves at the free surface of an incompressible inviscid fluid in two dimensions under gravity are numerically computed for an arbitrary vorticity distribution.…
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…
Convolutional GRU Network for Seasonal Prediction of the El Niño-Southern Oscillation
Lingda Wang, Savana Ammons, Vera Mikyoung Hur +2
Predicting sea surface temperature (SST) within the El Niño-Southern Oscillation (ENSO) region has been extensively studied due to its significant influence on global temperature a…
Almost extreme waves
Sergey A. Dyachenko, Vera Mikyoung Hur, Denis A. Silantyev
Numerically computed with high accuracy are periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow of an incompressible inv…
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)…