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Ginzburg-Landau Vortices

1st ed. 2017 edition., 2017

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Convergence of the Parabolic Ginzburg-Landau Equation to Motion by Mean Curvature

Annals of mathematics, 2006-01, Vol.163 (1), p.37-163

2006

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Dynamics of multiple degree ginzburg-landau vortices

Communications in mathematical physics, 2007-05, Vol.272 (1), p.229-261

2007

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Asymptotics for the Ginzburg–Landau Equation in Arbitrary Dimensions

Journal of functional analysis, 2001-11, Vol.186 (2), p.432-520

2001

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Vortex rings for the Gross-Pitaevskii equation

Journal of the European Mathematical Society : JEMS, 2004-01, Vol.6 (1), p.17-94

2004

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Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics

Duke mathematical journal, 2005-12, Vol.130 (3), p.523-614

2005

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Asymptotics for the Ginzburg–Landau Equation in Arbitrary Dimensions

Journal of functional analysis, 2002-02, Vol.188 (2), p.548-549

2002

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A characterization of maps in H1(B3, S2) which can be approximated by smooth maps

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 1990-08, Vol.7 (4), p.269-286

Bethuel, F.

1990

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APPROXIMATIONS WITH VORTICITY BOUNDS FOR THE GINZBURG–LANDAU FUNCTIONAL

Communications in contemporary mathematics, 2004-10, Vol.6 (5), p.803-832

2004

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Uniform estimates for the parabolic Ginzburg–Landau equation

ESAIM. Control, optimisation and calculus of variations, 2002-01, Vol.8, p.219-238

2002

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Extensions for Sobolev mappings between manifolds

Calculus of variations and partial differential equations, 1995-10, Vol.3 (4), p.475-491

1995

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On the Korteweg–de Vries Long-Wave Approximation of the Gross–Pitaevskii Equation I

International mathematics research notices, 2009-01, Vol.2009 (14), p.2700-2748

2009

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On the singular set of stationary harmonic maps

Manuscripta mathematica, 1993-12, Vol.78 (1), p.417-443

Bethuel, Fabrice

1993

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Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders

Archive for rational mechanics and analysis, 1992-01, Vol.118 (2), p.149-168

1992

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Vortices for a variational problem related to superconductivity

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 1995-06, Vol.12 (3), p.243-303

1995

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Asymptotics for the minimization of a Ginzburg-Landau functional

Calculus of variations and partial differential equations, 1993-05, Vol.1 (2), p.123-148

1993

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Symmetrization of dissipative-dispersive traveling waves for systems of conservation laws

Physica. D, 2005, Vol.200 (1), p.105-123

2005

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Dynamics of multiple degree Ginzburg–Landau vortices

Comptes rendus. Mathématique, 2006-06, Vol.342 (11), p.837-842

2006

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Calculus of Variations and Geometric Evolution Problems: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (C. I. M. E. )held in Cetaro, Italy, June 15-22 1996

1, 2006

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Topological methods for the Ginzburg-Landau equations

Journal de mathématiques pures et appliquées, 1998, Vol.77 (1), p.1-49

1998

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Density of smooth functions between two manifolds in Sobolev spaces

Journal of functional analysis, 1988-09, Vol.80 (1), p.60-75

1988

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Calculus of Variations and Geometric Evolution Problems: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (C. I. M. E. )held in Cetaro, Italy, June 15-22 1996

1, 1999

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Calculus of Variations and Geometric Evolution Problems: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 15–22, 1996

1999

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Approximations in trace spaces defined between manifolds

Nonlinear analysis, 1995, Vol.24 (1), p.121-130

Bethuel, Fabrice

1995

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Asymptotics for the Ginzburg–Landau Equation in Arbitrary Dimensions: Volume 186, Number 2 (2001), pages 432–520

Journal of functional analysis, 2002-02, Vol.188 (2), p.548-549

2002

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Ginzburg-Landau Vortices

Convergence of the Parabolic Ginzburg-Landau Equation to Motion by Mean Curvature

Dynamics of multiple degree ginzburg-landau vortices

Asymptotics for the Ginzburg–Landau Equation in Arbitrary Dimensions

Vortex rings for the Gross-Pitaevskii equation

Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics

Asymptotics for the Ginzburg–Landau Equation in Arbitrary Dimensions

A characterization of maps in H1(B3, S2) which can be approximated by smooth maps

APPROXIMATIONS WITH VORTICITY BOUNDS FOR THE GINZBURG–LANDAU FUNCTIONAL

Uniform estimates for the parabolic Ginzburg–Landau equation

Extensions for Sobolev mappings between manifolds

On the Korteweg–de Vries Long-Wave Approximation of the Gross–Pitaevskii Equation I

On the singular set of stationary harmonic maps

Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders

Vortices for a variational problem related to superconductivity

Asymptotics for the minimization of a Ginzburg-Landau functional

Symmetrization of dissipative-dispersive traveling waves for systems of conservation laws

Dynamics of multiple degree Ginzburg–Landau vortices

Calculus of Variations and Geometric Evolution Problems: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (C. I. M. E. )held in Cetaro, Italy, June 15-22 1996

Topological methods for the Ginzburg-Landau equations

Density of smooth functions between two manifolds in Sobolev spaces

Calculus of Variations and Geometric Evolution Problems: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (C. I. M. E. )held in Cetaro, Italy, June 15-22 1996

Calculus of Variations and Geometric Evolution Problems: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 15–22, 1996

Approximations in trace spaces defined between manifolds

Asymptotics for the Ginzburg–Landau Equation in Arbitrary Dimensions: Volume 186, Number 2 (2001), pages 432–520

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