Explicit expression of the microscopic renormalized energy for a pinned Ginzburg-Landau functional

Abstract : We get a new expression of the microscopic renormalized energy for a pinned Ginzburg-Landau type energy modeling small impurities. This is done by obtaining a sharp decomposition for the minimal energy of a Dirichlet type functional with an L ∞-weight. In particular we get an explicit expression of the microscopic renormalized energy for a circular diluted impurity. We proceed also to the minimization of this renormalized energy in some cases.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01684216
Contributor : Mickaël Dos Santos <>
Submitted on : Sunday, April 28, 2019 - 1:07:38 AM
Last modification on : Wednesday, May 15, 2019 - 3:06:56 AM

Files

MicroRenormalizedEnergy.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01684216, version 3
  • ARXIV : 1801.05152

Collections

Citation

Mickael Dos Santos. Explicit expression of the microscopic renormalized energy for a pinned Ginzburg-Landau functional. 2019. ⟨hal-01684216v3⟩

Share

Metrics

Record views

6

Files downloads

2