Fabrice Béthuel

3.7k total citations · 1 hit paper
58 papers, 2.0k citations indexed

About

Fabrice Béthuel is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Fabrice Béthuel has authored 58 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Applied Mathematics, 23 papers in Computational Theory and Mathematics and 19 papers in Mathematical Physics. Recurrent topics in Fabrice Béthuel's work include Advanced Mathematical Modeling in Engineering (23 papers), Nonlinear Partial Differential Equations (22 papers) and Geometric Analysis and Curvature Flows (21 papers). Fabrice Béthuel is often cited by papers focused on Advanced Mathematical Modeling in Engineering (23 papers), Nonlinear Partial Differential Equations (22 papers) and Geometric Analysis and Curvature Flows (21 papers). Fabrice Béthuel collaborates with scholars based in France, Italy and United States. Fabrice Béthuel's co-authors include Haı̈m Brezis, Frédéric Hélein, Didier Smets, Giandomenico Orlandi, Philippe Gravejat, Jean‐Claude Saut, Luís Almeida, G. Orlandi, Stefan Müller and Klaus Steffen and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Communications on Pure and Applied Mathematics.

In The Last Decade

Fabrice Béthuel

54 papers receiving 1.9k citations

Hit Papers

Ginzburg-Landau Vortices 1994 2026 2004 2015 1994 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Ginzburg-Landau Vortices
    1994 526 citations Fabrice Béthuel, Haı̈m Brezis et al. Birkhäuser Boston eBooks profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Fabrice Béthuel France 19 1.1k 786 697 451 339 58 2.0k
Sylvia Serfaty France 25 659 0.6× 642 0.8× 472 0.7× 248 0.5× 84 0.2× 56 1.7k
Frédéric Hélein France 13 605 0.6× 343 0.4× 290 0.4× 205 0.5× 277 0.8× 26 1.1k
Michał Kowalczyk Chile 22 840 0.8× 436 0.6× 637 0.9× 285 0.6× 187 0.6× 78 1.4k
Fanghua Lin United States 36 3.2k 3.0× 1.9k 2.4× 1.4k 2.0× 206 0.5× 606 1.8× 119 4.2k
Gero Friesecke Germany 22 283 0.3× 340 0.4× 634 0.9× 578 1.3× 76 0.2× 60 2.1k
Kening Lu United States 36 731 0.7× 997 1.3× 2.1k 3.0× 698 1.5× 166 0.5× 105 3.8k
Étienne Sandier France 16 369 0.4× 382 0.5× 333 0.5× 172 0.4× 70 0.2× 41 1.0k
Robert L. Jerrard Canada 18 349 0.3× 373 0.5× 222 0.3× 244 0.5× 102 0.3× 45 885
B. M. Levitan Israel 15 900 0.9× 1.4k 1.8× 765 1.1× 430 1.0× 112 0.3× 52 2.1k
Anton Zettl United States 29 1.3k 1.3× 2.2k 2.8× 1.4k 2.0× 558 1.2× 106 0.3× 164 2.8k

Countries citing papers authored by Fabrice Béthuel

Since Specialization
Citations

This map shows the geographic impact of Fabrice Béthuel's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Fabrice Béthuel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Fabrice Béthuel more than expected).

Fields of papers citing papers by Fabrice Béthuel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Fabrice Béthuel. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Fabrice Béthuel. The network helps show where Fabrice Béthuel may publish in the future.

Co-authorship network of co-authors of Fabrice Béthuel

This figure shows the co-authorship network connecting the top 25 collaborators of Fabrice Béthuel. A scholar is included among the top collaborators of Fabrice Béthuel based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Fabrice Béthuel. Fabrice Béthuel is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Béthuel, Fabrice. (2025). Asymptotics for 2-dimensional vectorial Allen-Cahn systems. Acta Mathematica. 234(2). 189–314.
2.
Béthuel, Fabrice. (2019). A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces. Inventiones mathematicae. 219(2). 507–651.
3.
Béthuel, Fabrice, Philippe Gravejat, & Didier Smets. (2015). Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation. Annales Scientifiques de l École Normale Supérieure. 48(6). 1327–1381. 22 indexed citations
4.
Béthuel, Fabrice. (2014). A counterexample to the weak density of smooth maps between manifolds in\n Sobolev spaces. arXiv (Cornell University). 8 indexed citations
5.
Béthuel, Fabrice. (2008). The Jacobian, the square root and the set ∞. Journal of Mathematical Analysis and Applications. 352(1). 548–572. 2 indexed citations
6.
Béthuel, Fabrice, Giandomenico Orlandi, & Didier Smets. (2006). Dynamics of multiple degree Ginzburg–Landau vortices. Comptes Rendus Mathématique. 342(11). 837–842. 5 indexed citations
7.
Béthuel, Fabrice, Giandomenico Orlandi, & Didier Smets. (2003). On an open problem for Jacobians raised by Bourgain, Brezis and Mironescu. Comptes Rendus Mathématique. 337(6). 381–385. 4 indexed citations
8.
Béthuel, Fabrice, Giandomenico Orlandi, & Didier Smets. (2003). Convergence of the parabolic Ginzburg–Landau equation to motion by mean curvature. Comptes Rendus Mathématique. 336(9). 719–723. 7 indexed citations
9.
Béthuel, Fabrice, H. Brézis, & Giandomenico Orlandi. (2002). Asymptotics for the Ginzburg–Landau Equation in Arbitrary Dimensions. Journal of Functional Analysis. 188(2). 548–549. 10 indexed citations
10.
Béthuel, Fabrice, et al.. (2002). PARAMETRIC SURFACES WITH PRESCRIBED MEAN CURVATURE. Institutional Research Information System University of Turin (University of Turin). 60. 165–231. 4 indexed citations
11.
Béthuel, Fabrice, Haı̈m Brezis, & G. Orlandi. (2001). Asymptotics for the Ginzburg–Landau Equation in Arbitrary Dimensions. Journal of Functional Analysis. 186(2). 432–520. 58 indexed citations
12.
13.
Almeida, Luís & Fabrice Béthuel. (1998). Topological methods for the Ginzburg-Landau equations. Journal de Mathématiques Pures et Appliquées. 77(1). 1–49. 41 indexed citations
14.
Béthuel, Fabrice & Jean‐Michel Ghidaglia. (1996). Sharp $L^\infty$-estimates for the $2$D-Stokes operator. Differential and Integral Equations. 9(1). 1 indexed citations
15.
Béthuel, Fabrice & F. Demengel. (1995). Extensions for Sobolev mappings between manifolds. Calculus of Variations and Partial Differential Equations. 3(4). 475–491. 5 indexed citations
16.
Béthuel, Fabrice, et al.. (1994). Vorticité dans les modèles de Ginzburg-Landau pour la supraconductivité. French digital mathematics library (Numdam). 1–12. 2 indexed citations
17.
Béthuel, Fabrice & Jean‐Michel Ghidaglia. (1994). Weak limits of solutions to the steady incompressible two-dimensional Euler equation in a bounded domain. Asymptotic Analysis. 8(3). 277–291. 2 indexed citations
18.
Béthuel, Fabrice, Haı̈m Brezis, & Frédéric Hélein. (1994). Ginzburg-Landau Vortices. Birkhäuser Boston eBooks. 526 indexed citations breakdown →
19.
Béthuel, Fabrice & Jean‐Michel Ghidaglia. (1993). Régularité des solutions de certaines équations elliptiques en dimension deux et formule de la co-aire. French digital mathematics library (Numdam). 1993(1). 1–36. 1 indexed citations
20.
Béthuel, Fabrice, et al.. (1988). Density of smooth functions between two manifolds in Sobolev spaces. Journal of Functional Analysis. 80(1). 60–75. 115 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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