Some singular limits for evolutionary Ginzburg–Landau equations

Article type: Research Article

Authors: Colin, T.^; | Soyeur, A.

Affiliations: CMLA, ENS de Cachan et CNRS, 61 avenue du président Wilson, 94235 Cachan cedex, France | LAN, CNRS et Université Paris XI, 91405 Orsay cedex, France

Note: [] Present address: Mathématiques Appliquées de Bordeaux, CNRS et Université Bordeaux 1, 351 cours de la libération, 33405 Talence cedex, France.

Abstract: We give some partial results regarding to evolutionary dispersive Ginzburg–Landau equations associated to the static case considered in Béthuel, Brezis and Hélein [1]. We treat the partially dissipative case. Moreover we perform an exact “semi-classical” limit. We obtain alternatively the Laplace, heat and wave equations as limit equation, depending on the scaling that we consider.

DOI: 10.3233/ASY-1996-13402

Journal: Asymptotic Analysis, vol. 13, no. 4, pp. 361-372, 1996