77 citations · 218 across the 12 of their papers we have counts for
3 papers · 1 filter
Pattern formation on the free surface of a ferrofluid: spatial dynamics and homoclinic bifurcation
Mark D. Groves, David J. B. Lloyd, Athanasios Stylianou
We establish the existence of spatially localised one-dimensional free surfaces of a ferrofluid near onset of the Rosensweig instability, assuming a general (nonlinear) magnetisati…
Variational existence theory for hydroelastic solitary waves
Mark D. Groves, Benedikt Hewer, Erik Wahlén
This paper presents an existence theory for solitary waves at the interface between a thin ice sheet (modelled using the Cosserat theory of hyperelastic shells) and an ideal fluid…
A variational reduction and the existence of a fully-localised solitary wave for the three-dimensional water-wave problem with weak surface tension
Boris Buffoni, Mark D. Groves, Erik Wahlén
Fully localised solitary waves are travelling-wave solutions of the three-dimensional gravity-capillary water wave problem which decay to zero in every horizontal spatial direction…