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math.AP2024
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…
math.AP2024
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…