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Alama, Stan; Bronsard, Lia; Sandier, Etienne
On the shape of interlayer vortices in the Lawrence-Doniach model.
Trans. Am. Math. Soc. 360, No. 1, 1-34 (2008).
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Sandier, Etienne; Serfaty, Sylvia
Vortices in the magnetic Ginzburg-Landau model.
Progress in Nonlinear Differential Equations and Their Applications 70. Basel: Birkhäuser. xii, 322~p, 2006
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Sandier, Etienne
Vortex analysis of the Ginzburg-Landau model of superconductivity.
Brezis, Haïm (ed.) et al., Ginzburg-Landau vortices. Based on the ``Ginzburg-Landau vortices" school and symposium, Shanghai, China, November 18--29, 2002.
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Serfaty, Sylvia ; Sandier, Etienne .
Vortices for Ginzburg-Landau equations: with magnetic field versus
without.
Noncompact problems at the intersection of geometry, analysis, and
topology,
233--244, Contemp. Math., 350, Amer. Math. Soc., Providence, RI, 2004.
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Sandier, Etienne ; Serfaty, Sylvia .
Gamma-convergence of gradient flows with applications to
Ginzburg-Landau.
Comm. Pure Appl. Math. 57 (2004), no. 12, 1627--1672.
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Sandier, Etienne ; Serfaty, Sylvia .
A product-estimate for Ginzburg-Landau and corollaries.
J. Funct. Anal. 211 (2004), no. 1, 219--244.
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Sandier, Etienne ; Serfaty, Sylvia .
A product estimate for Ginzburg-Landau and application to the
gradient-flow.
C. R. Math. Acad. Sci. Paris 336 (2003), no. 12, 997--1002.
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Sandier, Etienne ; Serfaty, Sylvia .
Limiting vorticities for the Ginzburg-Landau equations.
Duke Math. J. 117 (2003), no. 3, 403--446.
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Sandier, Etienne ; Serfaty, Sylvia .
Ginzburg-Landau minimizers near the first critical field have bounded
vorticity.
Calc. Var. Partial Differential Equations 17 (2003), no. 1, 17--28.
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Sandier, Etienne ; Serfaty, Sylvia .
The decrease of bulk-superconductivity close to the second critical
field in the Ginzburg-Landau model.
SIAM J. Math. Anal. 34 (2003), no. 4, 939--956 (electronic).
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Sandier, E.; Serfaty, S.
Vortex analysis in the Ginzburg-Landau model of superconductivity.
Berestycki, Henri (ed.) et al., Nonlinear PDEs in condensed matter and reactive flows. Proceedings of the NATO Advanced Study Institute on PDE's in models of superfluidity, superconductivity and reactive flows, Cargèse, France, 21 June -- 3 July 1999. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 569, 491-506 (2002)
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Sandier, Etienne .
Ginzburg-Landau minimizers from $\Bbb R\sp {n+1}$ to $\Bbb R\sp n$ and
minimal connections.
Indiana Univ. Math. J. 50 (2001), no. 4, 1807--1844.
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Aftalion, Amandine ; Sandier, Etienne ; Serfaty, Sylvia .
Pinning phenomena in the Ginzburg-Landau model of
superconductivity.
J. Math. Pures Appl. (9) 80 (2001), no. 3, 339--372.
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Sandier, Étienne ; Serfaty, Sylvia .
A rigorous derivation of a free-boundary problem arising in
superconductivity.
Ann. Sci. École Norm. Sup. (4) 33 (2000), no. 4, 561--592.
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Sandier, Etienne ; Serfaty, Sylvia .
On the energy of type-II superconductors in the mixed phase.
Rev. Math. Phys. 12 (2000), no. 9, 1219--1257.
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Sandier, E. ; Soret, M.
$S\sp 1$-valued harmonic maps with high topological degree: asymptotic
behavior of the singular set.
Potential Anal. 13 (2000), no. 2, 169--184.
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Sandier, Etienne ; Soret, Marc .
$S\sp 1$-valued harmonic maps with high topological degree.
Harmonic morphisms, harmonic maps, and related topics (Brest,
1997),
141--145, Chapman & Hall/CRC Res. Notes Math., 413, Chapman & Hall/CRC, Boca Raton, FL, 2000.
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Sandier, Etienne ; Serfaty, Sylvia .
Global minimizers for the Ginzburg-Landau functional below the first
critical magnetic field.
Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 1, 119--145.
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Sandier, Etienne .
Erratum: "Lower bounds for the energy of unit vector fields and
applications" [J. Funct. Anal. 152 (1998), no. 2, 379--403; MR1607928 (99b:58056)].
J. Funct. Anal. 171 (2000), no. 1, 233.
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Sandier, Etienne .
Locally minimising solutions of $-\Delta u=u(1-\vert u\vert \sp 2)$ in
$R\sp 2$.
Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), no. 2, 349--358.
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Sandier, Etienne .
Lower bounds for the energy of unit vector fields and
applications.
J. Funct. Anal. 152 (1998), no. 2, 379--403.
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El Soufi, A. ; Sandier, E.
$p$-harmonic diffeomorphisms.
Calc. Var. Partial Differential Equations 6 (1998), no. 2, 161--169.
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Sandier, Etienne ; Shafrir, Itai .
On the uniqueness of minimizing harmonic maps to a closed
hemisphere.
Calc. Var. Partial Differential Equations 2 (1994), no. 1, 113--122.
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Sandier, Étienne .
The symmetry of minimizing harmonic maps from a two-dimensional domain
to the sphere.
Ann. Inst. H. Poincaré Anal. Non Linéaire 10 (1993), no. 5, 549--559.
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Sandier, Étienne .
Minimisation de l'énergie des cristaux liquides dans un
cylindre.
(French) [Minimizing the energy of liquid crystals in a cylinder] C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 5, 473--478.
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Sandier, Étienne ; Shafrir, Itai .
On the symmetry of minimizing harmonic maps in $N$ dimensions.
Differential Integral Equations 6 (1993), no. 6, 1531--1541.
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Sandier, Étienne .
Symétrie des applications harmoniques minimisantes d'une couronne
vers la sphère.
(French) [The symmetry of minimizing harmonic maps from an annulus to the
sphere] C. R. Acad. Sci. Paris Sér. I Math. 313 (1991), no. 7, 435--440.
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