Yvan Martel

4.5k total citations
61 papers, 2.5k citations indexed

About

Yvan Martel is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Yvan Martel has authored 61 papers receiving a total of 2.5k indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Mathematical Physics, 46 papers in Statistical and Nonlinear Physics and 15 papers in Applied Mathematics. Recurrent topics in Yvan Martel's work include Advanced Mathematical Physics Problems (55 papers), Nonlinear Waves and Solitons (45 papers) and Nonlinear Photonic Systems (33 papers). Yvan Martel is often cited by papers focused on Advanced Mathematical Physics Problems (55 papers), Nonlinear Waves and Solitons (45 papers) and Nonlinear Photonic Systems (33 papers). Yvan Martel collaborates with scholars based in France, United States and China. Yvan Martel's co-authors include Frank Merle, Thierry Cazenave, Alain Haraux, Xavier Cabré, Tai‐Peng Tsai, Franck Merle, Pierre Raphaël, Haı̈m Brezis, Carlos E. Kenig and Raphaël Côte and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Yvan Martel

61 papers receiving 2.2k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Yvan Martel France 25 1.9k 1.4k 751 488 437 61 2.5k
Nakao Hayashi Japan 28 2.2k 1.1× 1.0k 0.7× 895 1.2× 625 1.3× 160 0.4× 139 2.3k
Anne de Bouard France 19 974 0.5× 577 0.4× 383 0.5× 171 0.4× 188 0.4× 36 1.3k
Pavel I. Naumkin Mexico 18 1.5k 0.8× 774 0.6× 561 0.7× 535 1.1× 112 0.3× 182 1.6k
Frank Merle France 39 3.9k 2.0× 2.2k 1.5× 1.9k 2.5× 1.1k 2.2× 591 1.4× 98 4.6k
Pierre Raphaël France 25 1.5k 0.8× 792 0.6× 762 1.0× 416 0.9× 70 0.2× 50 1.8k
Fred B. Weissler France 31 2.3k 1.2× 465 0.3× 2.5k 3.4× 1.4k 3.0× 1.1k 2.5× 76 3.5k
Susanna Terracini Italy 27 1.2k 0.6× 424 0.3× 1.6k 2.2× 166 0.3× 1.1k 2.6× 116 2.5k
P. L. Lions France 8 1.5k 0.8× 439 0.3× 2.0k 2.7× 269 0.6× 1.1k 2.4× 8 2.6k
Yuri Latushkin United States 18 559 0.3× 276 0.2× 652 0.9× 755 1.5× 473 1.1× 75 1.3k
Gianmaria Verzini Italy 17 712 0.4× 212 0.2× 784 1.0× 118 0.2× 449 1.0× 47 1.2k

Countries citing papers authored by Yvan Martel

Since Specialization
Citations

This map shows the geographic impact of Yvan Martel'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 Yvan Martel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Yvan Martel more than expected).

Fields of papers citing papers by Yvan Martel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Yvan Martel. 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 Yvan Martel. The network helps show where Yvan Martel may publish in the future.

Co-authorship network of co-authors of Yvan Martel

This figure shows the co-authorship network connecting the top 25 collaborators of Yvan Martel. A scholar is included among the top collaborators of Yvan Martel 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 Yvan Martel. Yvan Martel 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.
Martel, Yvan. (2024). Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation. Inventiones mathematicae. 237(3). 1253–1328. 3 indexed citations
2.
Martel, Yvan. (2024). Asymptotic stability of small solitons for one-dimensional nonlinear Schrödinger equations. French digital mathematics library (Numdam). 1–22. 1 indexed citations
3.
Martel, Yvan & Didier Pilod. (2020). Full family of flattening solitary waves for the critical generalized KdV equation. Duo Research Archive (University of Oslo). 2 indexed citations
4.
Jendrej, Jacek & Yvan Martel. (2020). Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5. Journal de Mathématiques Pures et Appliquées. 139. 317–355. 5 indexed citations
5.
Côte, Raphaël & Yvan Martel. (2017). Multi-travelling waves for the nonlinear Klein-Gordon equation. Transactions of the American Mathematical Society. 370(10). 7461–7487. 18 indexed citations
6.
Kowalczyk, Michał, Yvan Martel, & Claudio Muñoz. (2017). On asymptotic stability of nonlinear waves. 1–27. 10 indexed citations
7.
Martel, Yvan & Didier Pilod. (2016). Construction of a minimal mass blow up solution of the modified\n Benjamin-Ono equation. arXiv (Cornell University). 21 indexed citations
8.
Martel, Yvan, et al.. (2016). Sharp asymptotics for the minimal mass blow up solution of critical gKdV\n equation. arXiv (Cornell University). 4 indexed citations
9.
Coz, Stefan Le, Yvan Martel, & Pierre Raphaël. (2014). Minimal mass blow up solutions for a double power nonlinear\n Schr\\"odinger equation. arXiv (Cornell University). 24 indexed citations
10.
Martel, Yvan, Frank Merle, & Pierre Raphaël. (2014). Blow up and near soliton dynamics for the L 2 critical gKdV equation. French digital mathematics library (Numdam). 1–14. 1 indexed citations
11.
Martel, Yvan & Frank Merle. (2010). Inelastic interaction of nearly equal solitons for the quartic gKdV equation. Inventiones mathematicae. 183(3). 563–648. 35 indexed citations
12.
Kenig, Carlos E. & Yvan Martel. (2009). Asymptotic stability of solitons for the Benjamin-Ono equation. Revista Matemática Iberoamericana. 25(3). 909–970. 33 indexed citations
13.
Martel, Yvan & Frank Merle. (2007). Asymptotic stability of solitons of the gKdV equations with general nonlinearity. Mathematische Annalen. 341(2). 391–427. 58 indexed citations
14.
Martel, Yvan & Frank Merle. (2006). Multi solitary waves for nonlinear Schrödinger equations. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 23(6). 849–864. 65 indexed citations
15.
Martel, Yvan. (2005). Multi–solitons and large time dynamics of some nonlinear dispersive equations. 79–112. 1 indexed citations
16.
Martel, Yvan, et al.. (2003). Smoothness and Exponential Decay ofL2-Compact Solutions of the Generalized KdV Equations. Communications in Partial Differential Equations. 28(11-12). 2093–2107. 10 indexed citations
17.
Martel, Yvan & Frank Merle. (2002). Nonexistence of blow-up solution with minimal L2-mass for the critical gKdV equation. Duke Mathematical Journal. 115(2). 25 indexed citations
18.
Martel, Yvan & Frank Merle. (2001). Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations. Archive for Rational Mechanics and Analysis. 157(3). 219–254. 99 indexed citations
19.
Martel, Yvan & Frank Merle. (2000). A Liouville theorem for the critical generalized Korteweg–de Vries equation. Journal de Mathématiques Pures et Appliquées. 79(4). 339–425. 95 indexed citations
20.
Cabré, Xavier & Yvan Martel. (1998). Weak Eigenfunctions for the Linearization of Extremal Elliptic Problems. Journal of Functional Analysis. 156(1). 30–56. 55 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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