Compactness in Ginzburg-Landau energy by kynetic averaging

Pierre Emmanuel Jabin, Benoît Perthame

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We consider a Ginzburg-Landau energy for two-dimensional divergence free fields appearing in the gradient theory of phase transition for instance. We prove that, as the relaxation parameter vanishes, families of such fields with finite energy are compact in Lp (Ω) and we give some information on the limit. Our proof is based on a kinetic interpretation of the entropies which were introduced by Desimone, Kohn, Müller and Otto.

Original languageEnglish (US)
Pages (from-to)441-445
Number of pages5
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Issue number6
StatePublished - Sep 15 2000

All Science Journal Classification (ASJC) codes

  • General Mathematics


Dive into the research topics of 'Compactness in Ginzburg-Landau energy by kynetic averaging'. Together they form a unique fingerprint.

Cite this