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math.AP2023
A resonant Lyapunov centre theorem with an application to doubly periodic travelling hydroelastic waves
Rami Ahmad, Mark David Groves, Dag Nilsson
We present a Lyapunov centre theorem for an antisymplectically reversible Hamiltonian system exhibiting a nondegenerate or semisimple resonance as a detuning parameter…
math.AP2023
Analytical Study of a generalised Dirichlet-Neumann operator and application to three-dimensional water waves on Beltrami flows
Mark D. Groves, Dag Nilsson, Stefano Pasquali +1
In this paper we consider three-dimensional steady water waves with vorticity, under the action of gravity and surface tension; in particular we consider so-called Beltrami flows,…