12 citations · 18 across the 7 of their papers we have counts for
7 papers
A plethora of fully localised solitary waves for the full-dispersion Kadomtsev-Petviashvili equation
Mats Ehrnström, Mark D. Groves
The KP-I equation arises as a weakly nonlinear model equation for gravity-capillary waves with Bond number , also called strong surface tension. This equation has recently b…
Fully localised three-dimensional solitary water waves on Beltrami flows with strong surface tension
Mark D. Groves, Erik Wahlén
Fully localised three-dimensional solitary waves are steady water waves which are evanescent in every horizontal direction. This paper presents an existence theory for such waves u…
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…
On function spaces for radial functions
Mark D. Groves, Dan J. Hill
This paper is concerned with complex Banach-space valued functions of the form $$ \hat{f}_k(r\cosθ,r\sinθ,z)=\mathrm{e}^{\mathrm{i} k θ}f_k(r,z), \qquad r \in [0,\infty), θ\in \mat…
A variational formulation for steady surface water waves on a Beltrami flow
Mark D. Groves, J. Horn
This paper considers steady surface waves `riding' a Beltrami flow (a three-dimensional flow with parallel velocity and vorticity fields). It is demonstrated that the hydrodynamic…
Small-amplitude static periodic patterns at a fluid-ferrofluid interface
Mark D. Groves, Jens Horn
We establish the existence of static doubly periodic patterns (in particular rolls, rectangles and hexagons) on the free surface of a ferrofluid near onset of the Rosensweig instab…
Existence and conditional energetic stability of solitary gravity-capillary water waves with constant vorticity
M. D. Groves, E. Wahlén
We present an existence and stability theory for gravity-capillary solitary waves with constant vorticity on the surface of a body of water of finite depth. Exploiting a rotational…