4 papers · 1 filter
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…
On a Quaternary Non-Local Isoperimetric Problem
Stanley Alama, Lia Bronsard, Xinyang Lu +1
We study a two-dimensional quaternary inhibitory system. This free energy functional combines an interface energy favoring micro-domain growth with a Coulomb-type long range intera…
-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…
Vortex structure in p-wave superconductors
Stan Alama, Lia Bronsard, Xavier Lamy
We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions, and the p-wave symmetric…