Fabrice Bethuel | Academic Influence

Fabrice Bethuel's AcademicInfluence.com Rankings

Fabrice Bethuel

Mathematics

#882

World Rank

#1553

Historical Rank

Geometry

#53

World Rank

#94

Historical Rank

Differential Geometry

#80

World Rank

#95

Historical Rank

Measure Theory

#3822

World Rank

#4506

Historical Rank

mathematics Degrees

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Mathematics

Fabrice Bethuel's Degrees

PhD Mathematics Université Paris Cité
Masters Mathematics Université Paris Cité
Bachelors Mathematics Université Paris Cité

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Why Is Fabrice Bethuel Influential?

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According to Wikipedia, Fabrice Bethuel is a French mathematician. He holds a chair at Paris VI University. Bethuel earned his doctorate at Paris-Sud 11 University in 1989, under supervision of Jean-Michel Coron. In 1998 Bethuel was an Invited Speaker of the International Congress of Mathematicians in Berlin. He won the 1999 Fermat Prize, jointly with Frédéric Hélein, for several important contributions to the theory of variational calculus. He also won the 2003 for his fundamental discoveries at the interface between analysis, topology, geometry, and physics.

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Fabrice Bethuel's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Calculus of Variations and Geometric Evolution Problems (1999) (330)
Asymptotics for the minimization of a Ginzburg-Landau functional (1993) (321)
The approximation problem for Sobolev maps between two manifolds (1991) (233)
Density of Smooth Functions between Two Manifolds in Sobolev Spaces (1988) (219)
On the singular set of stationary harmonic maps (1993) (214)
Travelling Waves for the Gross-Pitaevskii Equation II (2007) (136)
Relaxed Energies for Harmonic Maps (1990) (123)
Vortices for a variational problem related to superconductivity (1995) (123)
Asymptotics for the Ginzburg–Landau Equation in Arbitrary Dimensions (2001) (121)
Vortex rings for the Gross-Pitaevskii equation (2004) (100)
A characterization of maps in $H^1 (B^3, S^2)$ which can be approximated by smooth maps (1990) (94)
Topological methods for the Ginzburg-Landau equations (1998) (61)
Improved regularity of solutions to elliptic equations involving jacobians and applications (1993) (59)
Convergence of the parabolic Ginzburg–Landau equation to motion by mean curvature (2003) (58)
A Cohomological Criterion for Density of Smooth Maps in Sobolev Spaces Between Two Manifolds (1991) (56)
Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders (1992) (55)
Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics (2005) (45)
On the Korteweg–de Vries Long-Wave Approximation of the Gross–Pitaevskii Equation I (2008) (40)
Extensions for Sobolev mappings between manifolds (1995) (39)
Convergence of the parabolic ginzburg-landau equation to motion by mean curvature (2006) (36)
Heat Flows and Relaxed Energies for Harmonic Maps (1992) (36)
On the Korteweg–de Vries Long-Wave Approximation of the Gross–Pitaevskii Equation II (2009) (34)
Slow motion for gradient systems with equal depth multiple-well potentials (2009) (29)
On the linear wave regime of the Gross-Pitaevskii equation (2008) (29)
Quantization and Motion Law for Ginzburg–Landau Vortices (2007) (28)
Dynamics of Multiple Degree Ginzburg-Landau Vortices (2006) (27)
APPROXIMATIONS WITH VORTICITY BOUNDS FOR THE GINZBURG–LANDAU FUNCTIONAL (2004) (26)
Small energy solutions to the Ginzburg-Landau equation (2000) (24)
Regularity of minimizers of relaxed problems for harmonic maps (1991) (24)
Multiple solutions to the Plateau problem for nonconstant mean curvature (1994) (24)
Approximations in trace spaces defined between manifolds (1995) (23)
A remark on the Cauchy problem for the 2D Gross-Pitaevskii equation with nonzero degree at infinity (2007) (22)
On the NLS dynamics for infinite energy vortex configurations on the plane (2008) (22)
Weak limits of Palais-Smale sequences for a class of critical functionals (1993) (20)
PARAMETRIC SURFACES WITH PRESCRIBED MEAN CURVATURE (2002) (20)
Improved estimates for the Ginzburg-Landau equation: the elliptic case (2005) (17)
Slow motion for equal depth multiple-well gradient systems: Thedegenerate case (2012) (16)
A new obstruction to the extension problem for Sobolev maps between manifolds (2014) (14)
W1,p estimates for solutions to the Ginzburg–Landau equation with boundary data in H1/2 (2001) (14)
A remark on the instability of symmetric vortices with large coupling constant (1997) (13)
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) (13)
Vortices and Sound Waves for the Gross-Pitaevskii Equation (2002) (11)
Variational methods for Ginzburg-Landau equations (1999) (11)
SOME APPLICATIONS OF THE COAREA FORMULA TO PARTIAL DIFFERENTIAL EQUATIONS (1994) (11)
W^{1,p} estimates for solutions to the Ginzburg-Landau equation with boundary data in H^{1/2}. (2001) (10)
Uniform estimates for the parabolic Ginzburg–Landau equation (2002) (10)
A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces (2014) (7)
On an open problem for Jacobians raised by Bourgain, Brezis and Mironescu (2003) (6)
Motion of concentration sets in Ginzburg-Landau equations (2004) (6)
Asymptotics for two-dimensional vectorial Allen-Cahn systems (2020) (4)
Erratum: "Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions," (Journal of Functional Analysis (2001) vol. 186 (2) (432-520)) (2002) (4)
On the motion law of fronts for scalar reaction-diffusion equations with equal depth multiple-well potentials (2017) (4)
On the Cauchy problem for phase and vortices in the parabolic Ginzburg-Landau equation (2008) (2)
Weak limits of solutions to the steady incompressible two-dimensional Euler equation in a bounded domain (1994) (2)
Large solutions for the equation of surfaces of prescribed mean curvature (1994) (2)
The Motion Law of Fronts for Scalar Reaction-diffusion Equations with Multiple Wells: the Degenerate Case (2013) (1)
Sharp $L^\infty$-estimates for the $2$D-Stokes operator (1996) (1)
Symmetrization of dissipative-dispersive traveling waves for systems of conservation laws (2005) (1)
Slow motion for equal multiple-well gradient systems: the degenerate case. (2013) (1)
Vortices in Ginzburg-Landau equations. (1998) (1)
Energy estimates for S1-valued maps (1994) (1)
Persistent Currents in Ginzburg-Landau Models (2000) (1)
The Jacobian, the square root and the set ∞ (2009) (1)
Non-minimizing solutions of the Ginzburg-Landau equation (1994) (0)
CALCULUS OF VARIATIONS , PARTIAL DIFFERENTIAL EQUATIONS , AND GEOMETRY (2011) (0)
On the NLS dynamics for inﬁnite energy vortex conﬁgurations on the plane (2008) (0)
Aspects of vortex dynamics in Ginzburg‐Landau models (2007) (0)
u ★ coincides with THE canonical harmonic map having singularities ( a j ) (1994) (0)
A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces (2019) (0)
Concentration sets for multiple equal-depth wells potentials in the 2D elliptic case (2018) (0)
For a similar existence result of vortex rings for Shr ö dinger map (2011) (0)
Some basic estimates for u (1994) (0)
A new obstruction to the extension problem for Sobolev maps between manifolds (2014) (0)
Some additional properties of UE (1994) (0)
Towards locating the singularties: bad discs and good discs (1994) (0)
Ginzburg-Landau functionals, phase transition and vorticity (2004) (0)
Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics (2004) (0)
Some basic estimateds for UE (2017) (0)
On the motion law of fronts for scalar reaction-diffusion equations with equal depth multiple-well potentials (2017) (0)
The lower bound for the energy of S-valued maps on Perforated domains (1994) (0)
An upper bound for the energy of u∈ away from the singularities (1994) (0)
Approximation in Sobolev Spaces between two manifolds and homotopy groups (1990) (0)
The configuration (aj) minimizes the renormalized energy W (1994) (0)
UEn Converges:U* is born! (1994) (0)
Some Recent Results for the Ginzburg-Landau Equation (1998) (0)

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