96 citations · 299 across the 24 of their papers we have counts for
26 papers
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…
Interaction between long internal waves and free surface waves in deep water
Adilbek Kairzhan, Christopher Kennedy, Catherine Sulem
We consider a density-stratified fluid composed of two immiscible layers separated by a sharp interface. We study the regime of long internal waves interacting with modulated surfa…
Bloch-Floquet band gaps for water waves over a periodic bottom
Christophe Lacave, Matthieu Ménard, Catherine Sulem
A central object in the analysis of the water wave problem is the Dirichlet-Neumann operator. This paper is devoted to the study of its spectrum in the context of the water wave sy…
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…
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…
Blowing Up Solutions to the Zakharov System for Langmuir Waves
Yuri Cher, Magdalena Czubak, Catherine Sulem
Langmuir waves take place in a quasi-neutral plasma and are modeled by the Zakharov system. The phenomenon of collapse, described by blowing up solutions plays a central role in th…