Publications [#340354] of Akos Nagy

Papers Published

1. Nagy, Á, Irreducible Ginzburg–Landau Fields in Dimension 2, The Journal of Geometric Analysis, vol. 28 no. 2 (April, 2018), pp. 1853-1868, Springer Nature
   (last updated on 2020/08/09)

   Abstract:
   © 2017, Mathematica Josephina, Inc. Ginzburg–Landau fields are the solutions of the Ginzburg–Landau equations which depend on two positive parameters, α and β. We give conditions on α and β for the existence of irreducible solutions of these equations. Our results hold for arbitrary compact, oriented, Riemannian 2-manifolds (for example, bounded domains in R2, spheres, tori, etc.) with de Gennes–Neumann boundary conditions. We also prove that, for each such manifold and all positive α and β, the Ginzburg–Landau free energy is a Palais–Smale function on the space of gauge equivalence classes; Ginzburg–Landau fields exist for only a finite set of energy values, and the moduli space of Ginzburg–Landau fields is compact.