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math.AP2025
An existence theory for solitary waves on a ferrofluid jet
Mark D. Groves, Dag Nilsson, Leon Schütz
We discuss axisymmetric solitary waves on the surface of an otherwise cylindrical ferrofluid jet surrounding a stationary metal rod. The ferrofluid, which is governed by a general…
math.AP2024
Periodically modulated solitary waves of the CH-KP-I equation
Dag Nilsson, Douglas Svensson Seth, Yuexun Wang
We consider the CH-KP-I equation. For this equation we prove the existence of steady solutions, which are solitary in one horizontal direction and periodic in the other. We show th…
math.AP2024
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,…