Article thumbnail

Gamma-convergence of the Lawrence -Doniach energy to a three-dimensional anisotropic Ginzburg -Landau energy

By Chunyan Yuan

Abstract

We consider the Lawrence-Doniach energy functional for layered superconductors and a three-dimensional anisotropic Ginzburg-Landau energy functional. Both models have been used to describe high-temperature superconductors. We prove that as the interlayer spacing in the Lawrence-Doniach model approaches zero, the Lawrence-Doniach energy (with an appropriate Josephson constant) Γ-converges to a three-dimensional anisotropic Ginzburg-Landau energy. This result extends a theorem on convergence of minimizers by Chapman, Du, and Gunzburger.

Topics: Mathematics
Publisher: 'Purdue University (bepress)'
Year: 2008
OAI identifier: oai:docs.lib.purdue.edu:dissertations-7980
Provided by: Purdue E-Pubs
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://docs.lib.purdue.edu/di... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.