50 citations · 194 across the 21 of their papers we have counts for
31 papers
Alexandrov's estimate revisited
Charles Griffin, Kennedy Obinna Idu, Robert L. Jerrard
Alexandrov's estimate states that if is a bounded open convex domain in and is a convex solution of the Monge-Ampere equation $\det D^…
Solutions of the Ginzburg-Landau equations with vorticity concentrating near a nondegenerate geodesic
Andrew Colinet, Robert Jerrard, Peter Sternberg
It is well-known that under suitable hypotheses, for a sequence of solutions of the (simplified) Ginzburg-Landau equations $-Δu_\varepsilon +\varepsilon^{-2}(|u_\varepsilon|^2-1)u_…
Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation
R. L. Jerrard, D. Smets
In the nineties, Klein, Majda and Damodaran have formally derived a simplified asymptotic motion law for the evolution of nearly parallel vortex filaments in the context of the thr…
Local minimizers with unbounded vorticity for the d Ginzburg-Landau functional
Andres Contreras, Robert L. Jerrard
A central focus of Ginzburg-Landau theory is the understanding and characterization of vortex configurations. On a bounded domain global minimizers, and…
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds
Radu Ignat, Robert L. Jerrard
We study a variational Ginzburg-Landau type model depending on a small parameter for (tangent) vector fields on a -dimensional Riemannian manifold . As $\vare…
Geodesic distance for right-invariant metrics on diffeomorphism groups: critical Sobolev exponents
Robert L. Jerrard, Cy Maor
We study the geodesic distance induced by right-invariant metrics on the group of compactly supported diffeomorphisms of a manifold , and show that it…