5 citations · 6 across the 2 of their papers we have counts for
4 papers
Quasi-periodic traveling gravity-capillary waves
Jon Wilkening, Xinyu Zhao
We present a numerical study of spatially quasi-periodic traveling waves on the surface of an ideal fluid of infinite depth. This is a generalization of the classic Wilton ripple p…
Harmonic Stability of Standing Water Waves
Jon Wilkening
A numerical method is developed to study the stability of standing water waves and other time-periodic solutions of the free-surface Euler equations using Floquet theory. A Fourier…
An infinite branching hierarchy of time-periodic solutions of the Benjamin-Ono equation
Jon Wilkening
We present a new representation of solutions of the Benjamin-Ono equation that are periodic in space and time. Up to an additive constant and a Galilean transformation, each of the…
Inf-sup estimates for the Stokes problem in a periodic channel
Jon Wilkening
We derive estimates of the Babuuska-Brezzi inf-sup constant for two-dimensional incompressible flow in a periodic channel with one flat boundary and the other given by a period…