Computing time-periodic solutions of a model for the vortex sheet with surface tension

Periodic solutions to PDEs (35B10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Theoretical approximation in context of PDEs (35A35) Bifurcations in context of PDEs (35B32) Computational methods for bifurcation problems in dynamical systems (37M20)

Cites Work

Unnamed Item
Unnamed Item
Computation of time-periodic solutions of the Benjamin-Ono equation
The effect of surface tension on the Moore singularity of vortex sheet dynamics
Singularity formation in a model for the vortex sheet with surface tension
Global paths of time-periodic solutions of the Benjamin-Ono equation connecting pairs of traveling waves
Removing the stiffness from interfacial flows with surface tension
Construction of periodic solutions of nonlinear wave equations in higher dimension
Standing waves on an infinitely deep perfect fluid under gravity
Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst
Steady water waves
Recurrent motions within plane Couette turbulence
A study of singularity formation in a vortex sheet by the point-vortex approximation
A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method
Benjamin—Ono-related equations and their solutions
The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
Newton's method and periodic solutions of nonlinear wave equations
Reappraisal of the Kelvin–Helmholtz problem. Part 1. Hamiltonian structure
Well-Posedness of Vortex Sheets with Surface Tension
Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
A Study of Singularity Formation in the Kelvin–Helmholtz Instability with Surface Tension
Regeneration mechanisms of near-wall turbulence structures
The numerical computation of freely propagating time-dependent irrotational water waves
The long-time motion of vortex sheets with surface tension
Nash-Moser theory for standing water waves.

This page was built for publication: Computing time-periodic solutions of a model for the vortex sheet with surface tension