Luc Molinet

3.8k total citations · 2 hit papers
65 papers, 2.3k citations indexed

About

Luc Molinet is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Luc Molinet has authored 65 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Mathematical Physics, 37 papers in Statistical and Nonlinear Physics and 36 papers in Applied Mathematics. Recurrent topics in Luc Molinet's work include Advanced Mathematical Physics Problems (55 papers), Nonlinear Waves and Solitons (36 papers) and Navier-Stokes equation solutions (23 papers). Luc Molinet is often cited by papers focused on Advanced Mathematical Physics Problems (55 papers), Nonlinear Waves and Solitons (36 papers) and Navier-Stokes equation solutions (23 papers). Luc Molinet collaborates with scholars based in France, Lebanon and Brazil. Luc Molinet's co-authors include Adrian Constantin, Francis Ribaud, Jean‐Claude Saut, Nikolay Tzvetkov, Didier Pilod, Zihua Guo, Xingxing Liu, Zhaoyang Yin, Baoxiang Wang and Tohru Ozawa and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Physica D Nonlinear Phenomena.

In The Last Decade

Luc Molinet

60 papers receiving 2.0k citations

Hit Papers

Global Weak Solutions for a Shallow Water Equation 2000 2026 2008 2017 2000 2003 100 200 300
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. Global Weak Solutions for a Shallow Water Equation
    2000 383 citations Adrian Constantin, Luc Molinet Communications in Mathematical Physics profile →
  2. On the Cauchy Problem for the Generalized Korteweg-de Vries Equation
    2003 300 citations Luc Molinet, Francis Ribaud profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Luc Molinet France 27 1.8k 1.8k 849 325 298 65 2.3k
Guilong Gui China 20 904 0.5× 952 0.5× 518 0.6× 327 1.0× 152 0.5× 40 1.4k
Gerard Misiołek United States 19 778 0.4× 1.0k 0.6× 418 0.5× 534 1.6× 88 0.3× 39 1.4k
Zhaoyang Yin China 29 2.3k 1.2× 3.2k 1.8× 935 1.1× 1.0k 3.1× 227 0.8× 174 3.6k
Yvan Martel France 25 1.9k 1.1× 1.4k 0.8× 751 0.9× 58 0.2× 488 1.6× 61 2.5k
J. Colliander United States 24 2.2k 1.2× 1.3k 0.7× 993 1.2× 32 0.1× 460 1.5× 48 2.3k
Pierre Raphaël France 25 1.5k 0.8× 792 0.4× 762 0.9× 43 0.1× 416 1.4× 50 1.8k
M. Keel United States 16 2.5k 1.4× 1.1k 0.6× 1.3k 1.6× 24 0.1× 568 1.9× 21 2.6k
Jean-Marc Delort France 17 775 0.4× 492 0.3× 408 0.5× 24 0.1× 219 0.7× 46 1.1k
Pavel I. Naumkin Mexico 18 1.5k 0.8× 774 0.4× 561 0.7× 12 0.0× 535 1.8× 182 1.6k
Sergei Kuksin Russia 18 352 0.2× 448 0.3× 304 0.4× 37 0.1× 269 0.9× 75 1.1k

Countries citing papers authored by Luc Molinet

Since Specialization
Citations

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

Fields of papers citing papers by Luc Molinet

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Luc Molinet

This figure shows the co-authorship network connecting the top 25 collaborators of Luc Molinet. A scholar is included among the top collaborators of Luc Molinet 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 Luc Molinet. Luc Molinet 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.
Molinet, Luc, et al.. (2025). Self-similar solutions for the generalized fractional Korteweg–de Vries equation. Nonlinear Analysis. 261. 113906–113906.
2.
Molinet, Luc, et al.. (2025). Asymptotic Stability of Fast Solitary Waves to the Benjamin Equation. Journal of Dynamics and Differential Equations.
3.
Farah, Luiz Gustavo & Luc Molinet. (2024). A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}$$. Nonlinear Differential Equations and Applications NoDEA. 31(5). 2 indexed citations
4.
Constantin, Adrian & Luc Molinet. (2023). Global Existence and Finite-Time Blow-Up for a Nonlinear Nonlocal Evolution Equation. Communications in Mathematical Physics. 402(3). 3233–3252.
5.
Molinet, Luc, et al.. (2023). On well-posedness for some Korteweg–de Vries type equations with variable coefficients. Journal of Evolution Equations. 23(3).
6.
Molinet, Luc, et al.. (2021). The Boussinesq system revisited. Nonlinearity. 34(2). 744–775. 2 indexed citations
7.
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
8.
Molinet, Luc, et al.. (2017). On the stability of the solitary waves to the (generalized) Kawahara equation. Journal of Mathematical Analysis and Applications. 457(1). 478–497. 19 indexed citations
9.
Molinet, Luc, et al.. (2016). On unconditional well-posedness for the periodic modified korteweg-de\n vries equation. arXiv (Cornell University). 18 indexed citations
10.
Guo, Zihua, et al.. (2014). Well-posedness in energy space for the periodic modified Benjamin–Ono equation. Journal of Differential Equations. 256(8). 2778–2806. 8 indexed citations
11.
Molinet, Luc. (2012). Sharp ill-posedness results for the KdV and mKdV equations on the torus. Advances in Mathematics. 230(4-6). 1895–1930. 39 indexed citations
12.
Hajaiej, Hichem, Luc Molinet, Tohru Ozawa, & Baoxiang Wang. (2011). Necessary and Sufficient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations (Harmonic Analysis and Nonlinear Partial Differential Equations). Kyoto University Research Information Repository (Kyoto University). 26. 159–175. 14 indexed citations
13.
Hajaiej, Hichem, et al.. (2011). Necessary and Sucient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations. arXiv (Cornell University). 38 indexed citations
14.
Molinet, Luc. (2011). A note on ill posedness for the KdV equation. Differential and Integral Equations. 24(7/8). 23 indexed citations
15.
Molinet, Luc. (2009). Sharp ill-posedness result for the periodic Benjamin–Ono equation. Journal of Functional Analysis. 257(11). 3488–3516. 13 indexed citations
16.
Molinet, Luc, et al.. (2008). Stability of multipeakons. HAL (Le Centre pour la Communication Scientifique Directe). 62 indexed citations
17.
Molinet, Luc, et al.. (2007). Exponential decay of H 1 -localized solutions and stability of the train of N solitary waves for the Camassa–Holm equation. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 365(1858). 2313–2331. 28 indexed citations
18.
Molinet, Luc & Francis Ribaud. (2003). Well-posedness results for the generalized Benjamin–Ono equation with small initial data. Journal de Mathématiques Pures et Appliquées. 83(2). 277–311. 55 indexed citations
19.
Molinet, Luc, et al.. (2002). Ill-posedness issues for a class of parabolic equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 132(6). 1407–1416. 12 indexed citations
20.
Molinet, Luc. (1999). On the Asymptotic Behavior of Solutions to the (Generalized) Kadomtsev–Petviashvili–Burgers Equations. Journal of Differential Equations. 152(1). 30–74. 26 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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