Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics

F. Bethuel[1]; G. Orlandi[2]; D. Smets[3]

  • [1] Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 4 place Jussieu BC 187, 75252 Paris, France & Institut Universitaire de France.
  • [2] Dipartimento di Informatica, Università di Verona, Strada le Grazie, 37134 Verona, Italy.
  • [3] Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 4 place Jussieu BC 187, 75252 Paris, France.

Journées Équations aux dérivées partielles (2004)

  • page 1-12
  • ISSN: 0752-0360

Abstract

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We discuss the asymptotics of the parabolic Ginzburg-Landau equation in dimension N ≥ 2 . Our only asumption on the initial datum is a natural energy bound. Compared to the case of “well-prepared” initial datum, this induces possible new energy modes which we analyze, and in particular their mutual interaction. The two dimensional case is qualitatively different and requires a separate treatment.

How to cite

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Bethuel, F., Orlandi, G., and Smets, D.. "Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics." Journées Équations aux dérivées partielles (2004): 1-12. <http://eudml.org/doc/10589>.

@article{Bethuel2004,
abstract = {We discuss the asymptotics of the parabolic Ginzburg-Landau equation in dimension $N\ge 2.$ Our only asumption on the initial datum is a natural energy bound. Compared to the case of “well-prepared” initial datum, this induces possible new energy modes which we analyze, and in particular their mutual interaction. The two dimensional case is qualitatively different and requires a separate treatment.},
affiliation = {Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 4 place Jussieu BC 187, 75252 Paris, France & Institut Universitaire de France.; Dipartimento di Informatica, Università di Verona, Strada le Grazie, 37134 Verona, Italy.; Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 4 place Jussieu BC 187, 75252 Paris, France.},
author = {Bethuel, F., Orlandi, G., Smets, D.},
journal = {Journées Équations aux dérivées partielles},
keywords = {new energy modes},
language = {eng},
month = {6},
pages = {1-12},
publisher = {Groupement de recherche 2434 du CNRS},
title = {Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics},
url = {http://eudml.org/doc/10589},
year = {2004},
}

TY - JOUR
AU - Bethuel, F.
AU - Orlandi, G.
AU - Smets, D.
TI - Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics
JO - Journées Équations aux dérivées partielles
DA - 2004/6//
PB - Groupement de recherche 2434 du CNRS
SP - 1
EP - 12
AB - We discuss the asymptotics of the parabolic Ginzburg-Landau equation in dimension $N\ge 2.$ Our only asumption on the initial datum is a natural energy bound. Compared to the case of “well-prepared” initial datum, this induces possible new energy modes which we analyze, and in particular their mutual interaction. The two dimensional case is qualitatively different and requires a separate treatment.
LA - eng
KW - new energy modes
UR - http://eudml.org/doc/10589
ER -

References

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