1 citations · 1 across the 6 of their papers we have counts for
7 papers
A priori estimates and compactness for anisotropic Ginzburg-Landau minimizers with tangential anchoring
Lia Bronsard, Andrew Colinet, Dominik Stantejsky +1
We consider minimizers of the Ginzburg-Landau energy with quadratic divergence or curl penalization on a simply-connected two-dimensional domain . On the boundar…
Minimizing Harmonic Maps on the Unit Ball with Tangential Anchoring
Lia Bronsard, Andrew Colinet, Dominik Stantejsky
Since the seminal work of Schoen-Uhlenbeck, many authors have studied properties of harmonic maps satisfying Dirichlet boundary conditions. In this article, we instead investigate…
A priori bound for Ginzburg-Landau energy minimizers with divergence penalization
Lia Bronsard, Andrew Colinet, Dominik Stantejsky
We consider minimizers of the Ginzburg-Landau energy with quadratic divergence penalization on a simply-connected two-dimensional domain . On the boundary, stron…
-Convergence of the Ginzburg-Landau Functional with tangential boundary conditions
Stan Alama, Lia Bronsard, Andrew Colinet
A classical result in the study of Ginzburg-Landau equations is that, for Dirichlet or Neumann boundary conditions, if a sequence of functions has energy uniformly bounded on a log…
Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds
Andrew Colinet
In the setting of a compact Riemannian manifold of dimension we provide a structural description of the limiting behaviour of the energy measures of solutions to the parabo…
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_…
Independence of synthetic Curvature Dimension conditions on transport distance exponent
Afiny Akdemir, Fabio Cavalletti, Andrew Colinet +2
The celebrated Lott-Sturm-Villani theory of metric measure spaces furnishes synthetic notions of a Ricci curvature lower bound joint with an upper bound on the dimension. T…