Didier Pilod

855 total citations
29 papers, 441 citations indexed

About

Didier Pilod is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Didier Pilod has authored 29 papers receiving a total of 441 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Mathematical Physics, 24 papers in Statistical and Nonlinear Physics and 22 papers in Applied Mathematics. Recurrent topics in Didier Pilod's work include Advanced Mathematical Physics Problems (29 papers), Nonlinear Waves and Solitons (24 papers) and Navier-Stokes equation solutions (17 papers). Didier Pilod is often cited by papers focused on Advanced Mathematical Physics Problems (29 papers), Nonlinear Waves and Solitons (24 papers) and Navier-Stokes equation solutions (17 papers). Didier Pilod collaborates with scholars based in France, Brazil and Norway. Didier Pilod's co-authors include Luc Molinet, Felipe Linares, Jean‐Claude Saut, Yvan Martel, Christian Klein, Claudio Muñoz, Gideon Simpson, Raphaël Côte, Gustavo Ponce and Sigmund Selberg and has published in prestigious journals such as Communications in Mathematical Physics, Archive for Rational Mechanics and Analysis and Journal of Differential Equations.

In The Last Decade

Didier Pilod

26 papers receiving 410 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Didier Pilod France	12	411	346	182	38	28	29	441
Andrei V. Faminskii Russia	11	549 1.3×	420 1.2×	222 1.2×	131 3.4×	5 0.2×	45	580
Xinglong Wu China	7	225 0.5×	264 0.8×	108 0.6×	48 1.3×	3 0.1×	33	338
Nikolay Tzvetkov France	14	360 0.9×	215 0.6×	143 0.8×	60 1.6×	11 0.4×	26	372
François Genoud United Kingdom	7	138 0.3×	94 0.3×	56 0.3×	37 1.0×	47 1.7×	20	209
Guillermo Rodrı́guez-Blanco Colombia	3	210 0.5×	291 0.8×	60 0.3×	20 0.5×	8 0.3×	6	304
Soonsik Kwon South Korea	11	294 0.7×	183 0.5×	134 0.7×	61 1.6×	2 0.1×	23	320
Ademir Pastor Brazil	11	398 1.0×	349 1.0×	143 0.8×	65 1.7×		43	444
Lidiao Ni China	10	274 0.7×	290 0.8×	130 0.7×	43 1.1×	1 0.0×	14	380
Mihaela Ifrim United States	6	116 0.3×	56 0.2×	79 0.4×	9 0.2×	61 2.2×	19	157

Countries citing papers authored by Didier Pilod

Since Specialization

Citations

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

Fields of papers citing papers by Didier Pilod

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Didier Pilod

This figure shows the co-authorship network connecting the top 25 collaborators of Didier Pilod. A scholar is included among the top collaborators of Didier Pilod 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 Didier Pilod. Didier Pilod is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Li, Guopeng, et al.. (2025). Deep-water limit of the intermediate long wave equation in $L^2$. Mathematical Research Letters. 31(6). 1655–1692. 1 indexed citations

Klein, Christian, Felipe Linares, Didier Pilod, & Jean‐Claude Saut. (2024). On the Benjamin and Related Equations. Bulletin of the Brazilian Mathematical Society New Series. 56(1). 1 indexed citations

Pilod, Didier, et al.. (2024). Dynamics of the Collision of Two Nearly Equal Solitary Waves for the Zakharov–Kuznetsov Equation. Communications in Mathematical Physics. 405(12). 3 indexed citations

Pilod, Didier, et al.. (2024). Asymptotic stability of a finite sum of solitary waves for the Zakharov–Kuznetsov equation. Nonlinearity. 37(10). 105001–105001. 4 indexed citations

Li, Guopeng, et al.. (2024). Intermediate long wave equation in negative Sobolev spaces. SPIRE - Sciences Po Institutional REpository. 11(40). 452–468. 3 indexed citations

Linares, Felipe, et al.. (2023). Well-Posedness for the Extended Schrödinger–Benjamin–Ono System. Vietnam Journal of Mathematics. 52(4). 1043–1066.

Pilod, Didier, et al.. (2023). Unconditional uniqueness for the Benjamin–Onoequation. arXiv (Cornell University). 5(2). 285–322. 2 indexed citations

Selberg, Sigmund, Didier Pilod, Jean‐Claude Saut, & Achenef Tesfahun. (2021). Dispersive Estimates for Full Dispersion KP Equations. Duo Research Archive (University of Oslo). 6 indexed citations

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

10.

Linares, Felipe, Didier Pilod, & Jean‐Claude Saut. (2018). The Cauchy Problem for the Fractional Kadomtsev--Petviashvili Equations. SIAM Journal on Mathematical Analysis. 50(3). 3172–3209. 21 indexed citations

11.

Molinet, Luc, et al.. (2018). On well-posedness for some dispersive perturbations of Burgers' equation. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 35(7). 1719–1756. 33 indexed citations

12.

Klein, Christian, Felipe Linares, Didier Pilod, & Jean‐Claude Saut. (2017). On Whitham and Related Equations. Studies in Applied Mathematics. 140(2). 133–177. 37 indexed citations

13.

Molinet, Luc, et al.. (2016). On unconditional well-posedness for the periodic modified korteweg-de\n vries equation. arXiv (Cornell University). 18 indexed citations

14.

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

15.

Molinet, Luc & Didier Pilod. (2012). The Cauchy problem for the Benjamin–Ono equation inL²revisited. Analysis & PDE. 5(2). 365–395. 46 indexed citations

16.

Linares, Felipe, Didier Pilod, & Jean‐Claude Saut. (2012). Well-Posedness of Strongly Dispersive Two-Dimensional Surface Wave Boussinesq Systems. SIAM Journal on Mathematical Analysis. 44(6). 4195–4221. 21 indexed citations

17.

Linares, Felipe, Didier Pilod, & Gustavo Ponce. (2010). Well-posedness for a higher-order Benjamin–Ono equation. Journal of Differential Equations. 250(1). 450–475. 11 indexed citations

18.

Pilod, Didier, et al.. (2010). Local well-posedness for the nonlocal nonlinear Schrödinger equation below the energy space. Advances in Differential Equations. 15(9/10). 3 indexed citations

19.

Pilod, Didier. (2008). On the Cauchy problem for higher-order nonlinear dispersive equations. Journal of Differential Equations. 245(8). 2055–2077. 27 indexed citations

20.

Pilod, Didier, et al.. (2008). Well posedness for Hirota-Satsuma's equation. Differential and Integral Equations. 21(11-12). 2 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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