Un risultato di convergenza variazionale per funzionali di tipo Ginzburg-Landau in dimensione qualunque

Giovanni Alberti

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 2, page 289-310
  • ISSN: 0392-4041

Abstract

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We describe an approach via Γ -convergence to the asymptotic behaviour of (minimizers of) complex Ginzburg-Landau functionals in any space dimension, summarizing the results of a joint research with S. Baldo and C. Orlandi [ABO1-2].

How to cite

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Alberti, Giovanni. "Un risultato di convergenza variazionale per funzionali di tipo Ginzburg-Landau in dimensione qualunque." Bollettino dell'Unione Matematica Italiana 4-B.2 (2001): 289-310. <http://eudml.org/doc/195217>.

@article{Alberti2001,
author = {Alberti, Giovanni},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {variational convergence; Ginzburg–Landau functionals},
language = {ita},
month = {6},
number = {2},
pages = {289-310},
publisher = {Unione Matematica Italiana},
title = {Un risultato di convergenza variazionale per funzionali di tipo Ginzburg-Landau in dimensione qualunque},
url = {http://eudml.org/doc/195217},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Alberti, Giovanni
TI - Un risultato di convergenza variazionale per funzionali di tipo Ginzburg-Landau in dimensione qualunque
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/6//
PB - Unione Matematica Italiana
VL - 4-B
IS - 2
SP - 289
EP - 310
LA - ita
KW - variational convergence; Ginzburg–Landau functionals
UR - http://eudml.org/doc/195217
ER -

References

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  1. ALBERTI, G.- BELLETTINI, G., A non-local anisotropic model for phase transitions. Asymptotic behaviour of rescaled energies, European J. Appl. Math., 9 (1998), 261-284. Zbl0932.49018MR1634336
  2. ALBERTI, G., Variational models for phase transitions. An approach via Γ -convergence, Differential equations and calculus of variations. Topics on geometrical evolution problems and degree theory (Pisa 1996), 95-114, edito da G. Buttazzo et al., Springer-Verlag, Berlin-Heidelberg, 2000. Zbl0957.35017MR1757697
  3. ALBERTI, G.- BALDO, S.- ORLANDI, G., Functions with prescribed singularities, Preprint 2000. Zbl1033.46028MR2002215
  4. ALBERTI, G.- BALDO, S.- ORLANDI, G., Variational convergence for functionals of Ginzburg-Landau type, Lavoro in preparazione. Zbl1160.35013
  5. AMBROSIO, L.- SONER, H. M., A measure-theoretic approach to higher codimension mean curvature flows, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 25 (1997), 27-49. Zbl1043.35136MR1655508
  6. BALDO, S.- ORLANDI, G., Codimension one minimal cycles with coefficients in Z or Z p , and variational functionals on fibered spaces, J. Geom. Anal., 9 (1999), 547-568. Zbl0996.49024MR1757578
  7. BALL, J. M., Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal., 63 (1977), 337-403. Zbl0368.73040MR475169
  8. BETHUEL, F.- ZHENG, X. M., Density of smooth functions between two manifolds in Sobolev spaces, J. Funct. Anal., 80 (1988), 60-75. Zbl0657.46027MR960223

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