Le problème de Cauchy dans des espaces locaux pour l'équation de Ginzburg-Landau complexe

J. Ginibre; G. Velo

Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996)

  • page 1-18

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Ginibre, J., and Velo, G.. "Le problème de Cauchy dans des espaces locaux pour l'équation de Ginzburg-Landau complexe." Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996): 1-18. <http://eudml.org/doc/112123>.

@article{Ginibre1995-1996,
author = {Ginibre, J., Velo, G.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Ginzburg-Landau equation; nonlinear Schrödinger equation; Cauchy problem},
language = {fre},
pages = {1-18},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Le problème de Cauchy dans des espaces locaux pour l'équation de Ginzburg-Landau complexe},
url = {http://eudml.org/doc/112123},
year = {1995-1996},
}

TY - JOUR
AU - Ginibre, J.
AU - Velo, G.
TI - Le problème de Cauchy dans des espaces locaux pour l'équation de Ginzburg-Landau complexe
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1995-1996
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 18
LA - fre
KW - Ginzburg-Landau equation; nonlinear Schrödinger equation; Cauchy problem
UR - http://eudml.org/doc/112123
ER -

References

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  1. [C] P. Collet: Thermodynamic limit of the Ginzburg-Landau equation, Nonlinearity, 7 (1994), 1175-1190. Zbl0803.35066MR1284687
  2. [CH] M.C. Cross, P.C. Hohenberg: Pattern formation outside of equilibrium, Rev. Mod. Phys.65 (1993), 851-1089. 
  3. [DGL] C.R. Doering, J.D. Gibbon, C.D. Levermore: Weak and strong solutions of the complex Ginzburg-Landau equation, PhysicaD71 (1994), 285-318. Zbl0810.35119MR1264120
  4. [GH] J.M. Ghidaglia, B. Héron: Dimension of the attactors associated to the Ginzburg Landau partial differential equation, PhysicaD28 (1987), 282-304. Zbl0623.58049MR914451
  5. [G] Y. Giga: Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system, J. Diff. Eq.61 (1986), 186-212. Zbl0577.35058MR833416
  6. [GV1] J. Ginibre, G. Velo: The Cauchy problem in local spaces for the complex Ginzburg-Landau equation, I Compactness methods, PhysicaD, sous presse. Zbl0889.35045
  7. [GV2] J. Ginibre, G. Velo: The Cauchy problem in local spaces for the complex Ginzburg-Landau equation, II Contraction methods, prétirage LPTHE 96/03, Orsay. Zbl0889.35046
  8. [GV3] J. Ginibre, G. Velo: Localized estimates and Cauchy problem for the logarithmic complex Ginzburg-Landau equation, prétirage LPTHE 96/31, Orsay. Zbl0877.35116
  9. [LO] C.D. Levermore, M. Oliver: The complex Ginzburg-Landau equation as a model problem, in Dynamical Systems and probabilistic methods for nonlinear waves, Lect. Appl. Mat., AMS 31 (1996), 141-189. Zbl0845.35003MR1363028
  10. [MS] A. Mielke, G. Schneider: Attractors for modulation equations on unbounded domains, existence and comparison, Nonlinearity8 (1995), 743-768. Zbl0833.35016MR1355041
  11. [S] S. Snoussi: Etude du comportement asymptotique des solutions d'une équation de Ginzburg-Landau généralisée, Thèse, Orsay (1996). 
  12. [W1] F.B. Weissler: Local existence and non existence for semilinear parabolic equations in Lp, Ind. Univ. Math. J.29 (1980), 79-102. Zbl0443.35034MR554819
  13. [W2] F.B. Weissler: Existence and non existence of global solutions for a semilinear heat equation, Israel J. Math.38 (1981), 29-40. Zbl0476.35043MR599472

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