Advances in water waves and free-surface flows #

Organisers: Jack Keeler, Alberto Alberello, Darren Crowdy, Phil Trinh, and Miles Wheeler

Minisymposium abstract

Advances in mathematical and numerical modelling of water waves and free-surface flows have benefitted applications in industry, marine engineering, and physical oceanography, amongst other fields. This minisymposia will focus on recent advances, in both pure and applied mathematics, and touch upon topics such as nonlinear wave-wave interactions, wave-structure interactions, wave interactions with complex bottom bathymetry, and viscous free-surface flows. Discussions on fundamental issues of vorticity, surface tension, instabilities, and geometry will also be central.

Advances in water waves and free-surface flows #

Water waves with vorticity and the Schwarz function #

Exact solutions for submerged von Kármán point vortex streets cotravelling with a wave on a linear shear cuurent #

On Ostrovsky-type models #

Incipient wave breaking within higher-order spectral methods #

Desingularization and global continuation for hollow vortices #

Interfacial gravity waves and their limiting configurations #

Modulational instability and recurrence of hydrodynamic waves with frequency-dependent dissipation #

A thin plate approximation for thick floating ice #

Ship wave patterns on floating ice sheets #

The nonlinear Benjamin-Feir instability - a discrete Hamiltonian approach #

Exponential asymptotics for the Saffman-Taylor problem in a wedge #

Three dimensional hydroelastic solitary waves in shallow water #