A product estimate for Ginzburg-Landau and application to the gradient-flow

Etienne Sandier, Sylvia Serfaty

Research output: Contribution to journalArticlepeer-review


We prove a new inequality for the Jacobian (or vorticity) associated to the Ginzburg-Landau energy in any dimension, and give static and dynamical corollaries. We then present a method to prove convergence of gradient-flows of families of energies which Gamma-converge to a limiting energy, which we apply to establish, thanks to the previous dynamical estimate, the limiting dynamical law of a finite number of vortices for the heat-flow of Ginzburg-Landau in dimension 2, with and without magnetic field.

Original languageEnglish (US)
Pages (from-to)997-1002
Number of pages6
JournalComptes Rendus Mathematique
Issue number12
StatePublished - Jun 15 2003

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'A product estimate for Ginzburg-Landau and application to the gradient-flow'. Together they form a unique fingerprint.

Cite this