18 citations · 45 across the 11 of their papers we have counts for
12 papers
Weighted -Willmore Spheres
Ed Gallagher, Roger Moser
On the two-sphere , we consider the problem of minimising among suitable immersions the weighted norm of the mean curvature …
The -elastica problem on a Riemannian manifold
Ed Gallagher, Roger Moser
We consider the following problem: on any given complete Riemannian manifold , among all curves which have fixed length as well as fixed end-points and tangents at the end-p…
Regularity of gradient vector fields giving rise to finite Caccioppoli partitions
Roger Moser
For a finite set , consider a function such that almost everywhere. If is convex i…
The streamlines of -harmonic functions obey the inverse mean curvature flow
Roger Moser
Given an -harmonic function on a domain , consider the function . If with $\nabla u_\…
Partial Regularity for Harmonic Maps into Spheres at a Singular or Degenerate Free Boundary
Roger Moser, James Roberts
We prove partial regularity of weakly stationary harmonic maps with (partially) free boundary data on manifolds where the domain metric may degenerate or become singular along the…
Separation of domain walls with nonlocal interaction and their renormalised energy by -convergence in thin ferromagnetic films
Radu Ignat, Roger Moser
We analyse two variants of a nonconvex variational model from micromagnetics with a nonlocal energy functional, depending on a small parameter . The model gives rise to trans…
Structure and classification results for the -elastica problem
Roger Moser
Consider the following variational problem: among all curves in of fixed length with prescribed end points and prescribed tangents at the end points, minimise the $L…
Energy minimisers of prescribed winding number in an -valued nonlocal Allen-Cahn type model
Radu Ignat, Roger Moser
We study a variational model for transition layers in thin ferromagnetic films with an underlying functional that combines an Allen-Cahn type structure with an additional nonlocal…
Existence, Uniqueness and Structure of Second Order absolute minimisers
Nikos Katzourakis, Roger Moser
Let be a bounded open set. In this paper we prove the existence of a unique second order absolute minimiser of the functional \[ \mat…
Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape
Radu Ignat, Roger Moser
We study a nonlocal Allen-Cahn type problem for vector fields of unit length, arising from a model for domain walls (called Néel walls) in ferromagnetism. We show that the nonlocal…
Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics
Radu Ignat, Roger Moser
We study a variational model from micromagnetics involving a nonlocal Ginzburg-Landau type energy for S^1-valued vector fields. These vector fields form domain walls, called Neel w…
Vortex dynamics in the presence of excess energy for the Landau-Lifschitz-Gilbert equation
Matthias Kurzke, Christof Melcher, Roger Moser +1
We study the Landau-Lifshitz-Gilbert equation for the dynamics of a magnetic vortex system. We present a PDE-based method for proving vortex dynamics that does not rely on strong w…