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1

Lower Bounds for the Energy of Unit Vector Fields and Applications

Etienne Sandier

Journal:

Journal of Functional Analysis

Year:

1998

Language:

english

File:

PDF, 460 KB

english, 1998

2

Lower Bounds for the Energy of Unit Vector Fields and Applications: Volume 152, Number 2 (1998), pages 379–403

Etienne Sandier

Journal:

Journal of Functional Analysis

Year:

2000

Language:

english

File:

PDF, 29 KB

english, 2000

3

A rigorous derivation of a free-boundary problem arising in superconductivity

Étienne Sandier, Sylvia Serfaty

Journal:

Annales Scientifiques de l'École Normale Supérieure

Year:

2000

File:

PDF, 293 KB

2000

4

A product-estimate for Ginzburg–Landau and corollaries

Etienne Sandier, Sylvia Serfaty

Journal:

Journal of Functional Analysis

Year:

2004

Language:

english

File:

PDF, 285 KB

english, 2004

5

On the uniqueness of minimizing harmonic maps to a closed hemisphere

Etienne Sandier, Itai Shafrir

Journal:

Calculus of Variations and Partial Differential Equations

Year:

1994

Language:

english

File:

PDF, 612 KB

english, 1994

6

Periodic minimizers of the anisotropic Ginzburg–Landau model

Stan Alama, Lia Bronsard, Etienne Sandier

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2009

Language:

english

File:

PDF, 287 KB

english, 2009

7

On the Shape of Interlayer Vortices in the Lawrence-Doniach Model

Stan Alama, Lia Bronsard and Etienne Sandier

Journal:

Transactions of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 2.13 MB

english, 2008

8

Limiting vorticities for the Ginzburg-Landau equations

Serfaty, Sylvia, Sandier, Etienne

Journal:

Duke Mathematical Journal

Year:

2003

Language:

english

File:

PDF, 295 KB

english, 2003

9

On the shape of interlayer vortices in the Lawrence--Doniach model

Alama, Stan, Bronsard, Lia, Sandier, Etienne

Journal:

Transactions of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 341 KB

english, 2008

10

Generalized Ginzburg–Landau equations in high dimensions

Ge, Yuxin, Sandier, Etienne, Zhang, Peng

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2017

Language:

english

File:

PDF, 756 KB

english, 2017

11

Renormalized Energy and Asymptotic Expansion of Optimal Logarithmic Energy on the Sphere

Bétermin, Laurent, Sandier, Etienne

Journal:

Constructive Approximation

Year:

2016

Language:

english

File:

PDF, 696 KB

english, 2016

12

A two scale $$\Gamma $$ Γ -convergence approach for random non-convex homogenization

Berlyand, Leonid, Sandier, Etienne, Serfaty, Sylvia

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2017

Language:

english

File:

PDF, 632 KB

english, 2017

13

Vortex patterns and sheets in segregated two component Bose–Einstein condensates

Aftalion, Amandine, Sandier, Etienne

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2020

File:

PDF, 690 KB

2020

14

Gamma-convergence of gradient flows with applications to Ginzburg-Landau

Etienne Sandier, Sylvia Serfaty

Journal:

Communications on Pure and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 327 KB

english, 2004

15

Vortex analysis of the periodic Ginzburg–Landau model

Hassen Aydi, Etienne Sandier

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2009

Language:

english

File:

PDF, 224 KB

english, 2009

16

Pinning phenomena in the Ginzburg–Landau model of superconductivity

Amandine Aftalion, Etienne Sandier, Sylvia Serfaty

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2001

Language:

english

File:

PDF, 278 KB

english, 2001

17

Global minimizers for the Ginzburg–Landau functional below the first critical magnetic field

Etienne Sandier, Sylvia Serfaty

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2000

Language:

english

File:

PDF, 163 KB

english, 2000

18

A product estimate for Ginzburg–Landau and application to the gradient-flow

Etienne Sandier, Sylvia Serfaty

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

french

File:

PDF, 121 KB

french, 2003

19

Minimizers of the Lawrence–Doniach Functional with Oblique Magnetic Fields

Stan Alama, Lia Bronsard, Etienne Sandier

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 425 KB

english, 2012

20

From the Ginzburg-Landau Model to Vortex Lattice Problems

Etienne Sandier, Sylvia Serfaty

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 1.16 MB

english, 2012

21

The Decrease of Bulk-Superconductivity Close to the Second Critical Field in the Ginzburg--Landau Model

Sandier, Etienne, Serfaty, Sylvia

Journal:

SIAM Journal on Mathematical Analysis

Year:

2003

Language:

english

File:

PDF, 207 KB

english, 2003

22

Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions: Existence and Bubbling

Berlyand, Leonid, Mironescu, Petru, Rybalko, Volodymyr, Sandier, Etienne

Journal:

Communications in Partial Differential Equations

Year:

2014

Language:

english

File:

PDF, 393 KB

english, 2014

23

ON THE ENERGY OF TYPE-II SUPERCONDUCTORS IN THE MIXED PHASE

SANDIER, ETIENNE, SERFATY, SYLVIA

Journal:

Reviews in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 421 KB

english, 2000

24

On the Lawrence–Doniach model of superconductivity: magnetic fields parallel to the axes

Alama, Stan, Bronsard, Lia, Sandier, Etienne

Journal:

Journal of the European Mathematical Society

Year:

2012

Language:

english

File:

PDF, 262 KB

english, 2012

25

Insertion of bubbles at the boundary for the Ginzburg–Landau functional

Rodiac, Rémy, Sandier, Etienne

Journal:

Journal of Fixed Point Theory and Applications

Year:

2014

Language:

english

File:

PDF, 443 KB

english, 2014

26

1D log gases and the renormalized energy: crystallization at vanishing temperature

Sandier, Etienne, Serfaty, Sylvia

Journal:

Probability Theory and Related Fields

Year:

2015

Language:

english

File:

PDF, 581 KB

english, 2015

27

Locally minimising solutions of − Δu = u(1 − |u|2) in R2

Sandier, Etienne

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

1998

Language:

english

File:

PDF, 547 KB

english, 1998

28

2D Coulomb gases and the renormalized energy

Sandier, Etienne, Serfaty, Sylvia

Journal:

The Annals of Probability

Year:

2015

Language:

english

File:

PDF, 555 KB

english, 2015

29

Small energy Ginzburg–Landau minimizers in

Sandier, Etienne, Shafrir, Itai

Journal:

Journal of Functional Analysis

Year:

2017

Language:

english

File:

PDF, 283 KB

english, 2017

30

The symmetry of minimizing harmonic maps from a two dimensional domain to the sphere

Sandier, Étienne

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

1993

Language:

english

File:

PDF, 160 KB

english, 1993

31

[WORLD SCIENTIFIC XVIth International Congress on Mathematical Physics - Prague, Czech Republic (3 – 8 August 2009)] XVIth International Congress on Mathematical Physics - VORTEX PATTERNS IN GINZBURG-LANDAU MINIMIZERS

SERFATY, SYLVIA, SANDIER, ETIENNE

Language:

english

File:

PDF, 442 KB

english

32

Ginzburg-Landau minimizers from R^{n+1} to R^n and minimal connections

Sandier, Etienne

Journal:

Indiana University Mathematics Journal

Year:

2001

Language:

english

File:

PDF, 412 KB

english, 2001