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 contribution||Compactness in Ginzburg-Landau energy by kynetic averaging|
|Number of pages||5|
|Journal||Comptes Rendus de l'Academie des Sciences - Series I: Mathematics|
|State||Published - Sep 15 2000|
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