activity
20072024
most citedWave-breaking and generic singularities of nonlinear hyperbolic equations

40 citations · 86 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2024★ 6 cited

A Hamiltonian Dysthe equation for hydroelastic waves in a compressed ice sheet

Philippe Guyenne, Adilbek Kairzhan, Catherine Sulem

Nonlinear hydroelastic waves along a compressed ice sheet lying on top of a two-dimensional fluid of infinite depth are investigated. Based on a Hamiltonian formulation of this pro…

physics.flu-dyn2023

A boundary perturbation method to simulate nonlinear deformations of a two-dimensional bubble

Philippe Guyenne

Nonlinear deformations of a two-dimensional gas bubble are investigated in the framework of a Hamiltonian formulation involving surface variables alone. The Dirichlet--Neumann oper…

physics.flu-dyn2022★ 13 cited

Nonlinear simulation of wave group attenuation due to scattering in broken floe fields

Boyang Xu, Philippe Guyenne

Direct phase-resolved simulations are performed to investigate the propagation and scattering of nonlinear ocean waves in fragmented sea ice. The numerical model solves the full ti…

math.AP2022★ 5 cited

A Hamiltonian Dysthe equation for deep-water gravity waves with constant vorticity

Philippe Guyenne, Adilbek Kairzhan, Catherine Sulem

This paper is a study of the water wave problem in a two-dimensional domain of infinite depth in the presence of nonzero constant vorticity. A goal is to describe the effects of un…

physics.flu-dyn2021★ 1 cited

Assessment of a porous viscoelastic model for wave attenuation in ice-covered seas

Boyang Xu, Philippe Guyenne

Chen et al. (Eur. J. Mech. B/Fluids 78, pp. 88-105, 2019) recently proposed a two-dimensional continuum model for linear gravity waves propagating in ice-covered seas. It is based…

math.AP2021

Hamiltonian Dysthe equation for 3D deep-water gravity waves

Philippe Guyenne, Adilbek Kairzhan, Catherine Sulem

This article concerns the water wave problem in a three-dimensional domain of infinite depth and examines the modulational regime for weakly nonlinear wavetrains. We use the method…