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1

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

2

The Singular Limit of a Vector-Valued Reaction-Diffusion Process

Lia Bronsard and Barbara Stoth

Journal:

Transactions of the American Mathematical Society

Year:

1998

Language:

english

File:

PDF, 2.18 MB

english, 1998

3

A nonlocal isoperimetric problem with density perimeter

Alama, Stan, Bronsard, Lia, Topaloglu, Ihsan, Zuniga, Andres

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2021

File:

PDF, 507 KB

2021

4

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

5

On the Ginzburg–Landau model of a superconducting ball in a uniform field

Stan Alama, Lia Bronsard, J. Alberto Montero

Journal:

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

Year:

2006

Language:

english

File:

PDF, 328 KB

english, 2006

6

Stationary layered solutions in({Bbb R}^2)for an Allen–Cahn system with multiple well potential

Stanley Alama, Lia Bronsard, Changfeng Gui

Journal:

Calculus of Variations and Partial Differential Equations

Year:

1997

Language:

english

File:

PDF, 249 KB

english, 1997

7

A three-layered minimizer in R2 for a variational problem with a symmetric three-well potential

Lia Bronsard, Changfeng Gui, Michelle Schatzman

Journal:

Communications on Pure and Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 1.48 MB

english, 1996

8

Minimizers of the Landau–de Gennes Energy Around a Spherical Colloid Particle

Alama, Stan, Bronsard, Lia, Lamy, Xavier

Journal:

Archive for Rational Mechanics and Analysis

Year:

2016

Language:

english

File:

PDF, 667 KB

english, 2016

9

Uniqueness of Symmetric Vortex Solutions in the Ginzburg–Landau Model of Superconductivity

Stan Alama, Lia Bronsard, Tiziana Giorgi

Journal:

Journal of Functional Analysis

Year:

1999

Language:

english

File:

PDF, 212 KB

english, 1999

10

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

11

Volume-Preserving Mean Curvature Flow as a Limit of a Nonlocal Ginzburg-Landau Equation

Bronsard, Lia, Stoth, Barbara

Journal:

SIAM Journal on Mathematical Analysis

Year:

1997

Language:

english

File:

PDF, 611 KB

english, 1997

12

Domain Walls in the Coupled Gross–Pitaevskii Equations

Alama, Stan, Bronsard, Lia, Contreras, Andres, Pelinovsky, Dmitry E.

Journal:

Archive for Rational Mechanics and Analysis

Year:

2015

Language:

english

File:

PDF, 349 KB

english, 2015

13

Vortices for a Rotating Toroidal Bose–Einstein Condensate

Stan Alama, Lia Bronsard, J. Alberto Montero

Journal:

Archive for Rational Mechanics and Analysis

Year:

2008

Language:

english

File:

PDF, 367 KB

english, 2008

14

Pinning effects and their breakdown for a Ginzburg–Landau model with normal inclusions

Alama, Stan, Bronsard, Lia

Journal:

Journal of Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 586 KB

english, 2005

15

Sharp interface limit of an energy modelling nanoparticle-polymer blends

Alama, Stan, Bronsard, Lia, Topaloglu, Ihsan

Journal:

Interfaces and Free Boundaries

Year:

2016

Language:

english

File:

PDF, 431 KB

english, 2016

16

On compound vortices in a two-component Ginzburg--Landau functional

Alama, Stan, Bronsard, Lia, Mironescu, Petru

Journal:

Indiana University Mathematics Journal

Year:

2012

File:

PDF, 500 KB

2012

17

Weak anchoring for a two-dimensional liquid crystal

Alama, Stan, Bronsard, Lia, Galvão-Sousa, Bernardo

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2015

Language:

english

File:

PDF, 878 KB

english, 2015

18

A multi-phase Mullins–Sekerka system: matched asymptotic expansions and an implicit time discretisation for the geometric evolution problem

Bronsard, Lia, Garcke, Harald, Stoth, Barbara

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

1998

Language:

english

File:

PDF, 1.19 MB

english, 1998

19

Des vortex fractionnaires pour un modèle Ginzburg–Landau spineur

Stan Alama, Lia Bronsard

Journal:

Comptes Rendus Mathematique

Year:

2003

File:

PDF, 101 KB

2003

20

Vortex structure in p -wave superconductors

Alama, Stan, Bronsard, Lia, Lamy, Xavier

Journal:

Journal of Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 503 KB

english, 2015

21

On the slowness of phase boundary motion in one space dimension

Lia Bronsard, Robert V. Kohn

Journal:

Communications on Pure and Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 532 KB

english, 1990

22

Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics

Lia Bronsard, Robert V Kohn

Journal:

Journal of Differential Equations

Year:

1991

Language:

english

File:

PDF, 1.16 MB

english, 1991

23

On three-phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation

Lia Bronsard, Fernando Reitich

Journal:

Archive for Rational Mechanics and Analysis

Year:

1993

Language:

english

File:

PDF, 1.17 MB

english, 1993

24

A Degenerate Isoperimetric Problem and Traveling Waves to a Bistable Hamiltonian System

Alama, Stan, Bronsard, Lia, Contreras, Andres, Dadok, Jiri, Sternberg, Peter

Journal:

Communications on Pure and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 343 KB

english, 2015

25

Vortices in the Magnetic Ginzburg-Landau Modelby Etienne Sandier; Sylvia Serfaty

Review by: Lia Bronsard

Journal:

Year:

2008

Language:

english

File:

PDF, 436 KB

english, 2008

26

A Numerical Method for Tracking Curve Networks Moving with Curvature Motion

Lia Bronsard, Brian T.R. Wetton

Journal:

Journal of Computational Physics

Year:

1995

File:

PDF, 886 KB

1995

27

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

28

Vortices and pinning effects for the Ginzburg-Landau model in multiply connected domains

Stan Alama, Lia Bronsard

Journal:

Communications on Pure and Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 257 KB

english, 2006

29

FRACTIONAL DEGREE VORTICES FOR A SPINOR GINZBURG–LANDAU MODEL

ALAMA, STAN, BRONSARD, LIA

Journal:

Communications in Contemporary Mathematics

Year:

2006

Language:

english

File:

PDF, 319 KB

english, 2006

30

Γ-Convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves

Sam Alama, Lia Bronsard, Vincent Millot

Journal:

Journal d'Analyse Mathématique

Year:

2011

Language:

english

File:

PDF, 367 KB

english, 2011

31

Spherical Particle in Nematic Liquid Crystal Under an External Field: The Saturn Ring Regime

Alama, Stan, Bronsard, Lia, Lamy, Xavier

Journal:

Journal of Nonlinear Science

Year:

2018

Language:

english

File:

PDF, 573 KB

english, 2018

32

The Ginzburg-Landau equations of superconductivity and the one-phase Stefan problem

Lia Bronsard, Barbara Stoth

Journal:

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

Year:

1998

Language:

english

File:

PDF, 1.35 MB

english, 1998

33

Analytical description of the Saturn-ring defect in nematic colloids

Alama, Stan, Bronsard, Lia, Lamy, Xavier

Journal:

Physical Review E

Year:

2016

Language:

english

File:

PDF, 414 KB

english, 2016

34

Thin Film Limits for Ginzburg–Landau with Strong Applied Magnetic Fields

Alama, Stan, Bronsard, Lia, Galvão-Sousa, Bernardo

Journal:

SIAM Journal on Mathematical Analysis

Year:

2010

Language:

english

File:

PDF, 476 KB

english, 2010

35

Thin film liquid crystals with oblique anchoring and boojums

Alama, Stan, Bronsard, Lia, Golovaty, Dmitry

Journal:

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

Year:

2020

File:

PDF, 2.88 MB

2020

36

Giant Vortex and the Breakdown of Strong Pinning in a Rotating Bose-Einstein Condensate

Amandine Aftalion, Stan Alama, Lia Bronsard

Journal:

Archive for Rational Mechanics and Analysis

Year:

2005

Language:

english

File:

PDF, 334 KB

english, 2005

37

On the Slow Dynamics for the Cahn-Hilliard Equation in one Space Dimension

Lia Bronsard and Danielle Hilhorst

Journal:

Proceedings of the Royal Society Mathematical and Physical Sciences (1990-1995)

Year:

1992

Language:

english

File:

PDF, 316 KB

english, 1992

38

Ground-states for the liquid drop and TFDW models with long-range attraction

Alama, Stan, Bronsard, Lia, Choksi, Rustum, Topaloglu, Ihsan

Journal:

Journal of Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 426 KB

english, 2017

39

On the structure of fractional degree vortices in a spinor Ginzburg–Landau model

Stan Alama, Lia Bronsard, Petru Mironescu

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 207 KB

english, 2009

40

ON THE SECOND CRITICAL FIELD FOR A GINZBURG–LANDAU MODEL WITH FERROMAGNETIC INTERACTIONS

ALAMA, STAN, BRONSARD, LIA

Journal:

Reviews in Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 304 KB

english, 2004

41

Mass splitting in the ThomasâFermiâDiracâvon WeizsÃ¤cker model with background potential

Aguirre Salazar, Lorena, Alama, Stan, Bronsard, Lia

Journal:

Journal of Mathematical Physics

Year:

2020

Language:

english

File:

PDF, 4.37 MB

english, 2020

42

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

43

Droplet breakup in the liquid drop model with background potential

Alama, Stan, Bronsard, Lia, Choksi, Rustum, Topaloglu, Ihsan

Journal:

Communications in Contemporary Mathematics

Year:

2018

Language:

english

File:

PDF, 292 KB

english, 2018

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