David Lloyd’s paper on pattern formation in ferrofluids to appear in Physica D

The paper “Pattern formation on the free surface of a ferrofluid: spatial dynamics and homoclinic bifurcation“, co-authored by Mark Groves (Saarbrucken, Germany), David Lloyd, and Athanasios Stylianou (Kassel, Germany) has been accepted for publication in Physica D.  The paper establishes the existence of spatially localised one-dimensional free surfaces of a ferrofluid near onset of the Rosensweig instability, assuming a general (nonlinear) magnetisation law. Methodology includes Hamiltonian structure, centre manifold theory, and normal form transformations.