Compacité par lemmes de moyenne cinétiques pour des énergies de Ginzburh-Landau

Translated title of the contribution: Compactness in Ginzburg-Landau energy by kynetic averaging

Pierre Emmanuel Jabin, Benoît Perthame

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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.

Translated title of the contributionCompactness in Ginzburg-Landau energy by kynetic averaging
Original languageFrench
Pages (from-to)441-445
Number of pages5
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume331
Issue number6
DOIs
StatePublished - Sep 15 2000

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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