2026 Luc Molinet: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	32	3166	2820	188	177	104	4912

Luc Molinet publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Luc Molinet sits on this spectrum.

42 publications 537+

This scientist: 104 publications — 13th percentile

13% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Luc Molinet D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Luc Molinet sits on this spectrum.

30 D-Index 86+

This scientist: 32 D-Index — 14th percentile

14% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Luc Molinet is affiliated with François Rabelais University in France, contributing extensively to the fields of mathematics and physics. Their work spans multiple subfields including mathematical physics, statistical and nonlinear physics, applied mathematics, control and systems engineering, and atomic and molecular physics, and optics.

The research topics frequently explored by Luc Molinet involve advanced mathematical physics problems, nonlinear waves and solitons, Navier-Stokes equation solutions, nonlinear photonic systems, nonlinear partial differential equations, mathematical analysis and transform methods, and the stability and controllability of differential equations.

Luc Molinet's publication record includes papers in a variety of scientific venues:

arXiv (Cornell University)
Journal of Differential Equations
Nonlinearity
Journal of Functional Analysis
Nonlinear Differential Equations and Applications NoDEA

Recent papers authored or coauthored by Luc Molinet include:

The Boussinesq system revisited, 2021, Nonlinearity
Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations, 2022, Journal of Functional Analysis
The classical Boussinesq system revisited, 2020, arXiv (Cornell University)

Other related works associated with their frequent collaborators include:

A note on the well-posedness in the energy space for the generalized ZK equation posed on ℝ×, 2024, Nonlinear Differential Equations and Applications NoDEA
Global Existence and Finite-Time Blow-Up for a Nonlinear Nonlocal Evolution Equation, 2023, Communications in Mathematical Physics (coauthored by Adrian Constantin)

Luc Molinet has collaborated regularly with a group of researchers including Raafat Talhouk, Tomoyuki Tanaka, May Abdallah, Mohamad Darwich, and Ibtissam Zaiter.

Best Publications

On the Cauchy Problem for the Generalized Korteweg-de Vries Equation

Luc Molinet;Francis Ribaud

784
Citations
Global Weak Solutions for a Shallow Water Equation

Adrian Constantin;Luc Molinet

546
Citations
Ill-Posedness Issues for the Benjamin--Ono and Related Equations

Luc Molinet;Jean-Claude Saut;Nikolay Tzvetkov

352
Citations
Orbital stability of solitary waves for a shallow water equation

Adrian Constantin;Luc Molinet

264
Citations
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation

L. Molinet;J.-C. Saut;N. Tzvetkov

169
Citations
Stability of multipeakons

Khaled El Dika;Luc Molinet

159
Citations
On Well-Posedness Results for Camassa-Holm Equation on the Line: A Survey

Luc Molinet

154
Citations
GLOBAL WELL-POSEDNESS IN L 2 FOR THE PERIODIC BENJAMIN-ONO EQUATION

Luc Molinet

144
Citations
On the low regularity of the Korteweg-de Vries-Burgers equation

Luc Molinet;Francis Ribaud

143
Citations
Well-posedness results for the generalized Benjamin–Ono equation with small initial data

Luc Molinet;Francis Ribaud

143
Citations
Global well-posedness for the KP-I equation

L. Molinet;J.C. Saut;N. Tzvetkov

126
Citations
Ill-posedness of the Camassa-Holm and related equations in the critical space

Zihua Guo;Xingxing Liu;Luc Molinet;Zhaoyang Yin;Zhaoyang Yin

112
Citations
Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications

Luc Molinet;Didier Pilod

112
Citations
The Cauchy problem for the Benjamin–Ono equation in $L^2$ revisited

Luc Molinet;Didier Pilod

107
Citations
Necessary and Sucient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations

Hichem Hajaiej;Luc Molinet;Tohru Ozawa;Baoxiang Wang

93
Citations
Global Well-Posedness for the KP-I Equation on the Background of a Non-Localized Solution

Luc Molinet;Jean-Claude Saut;Nikolay Tzvetkov

91
Citations
Sharp ill-posedness results for the KdV and mKdV equations on the torus

Luc Molinet

88
Citations
Global well-posedness in the energy space for the Benjamin–Ono equation on the circle

Luc Molinet

85
Citations
Well-posedness results for the generalized Benjamin-Ono equation with arbitrary large initial data

Luc Molinet;Francis Ribaud

84
Citations
The initial value problem for a generalized Boussinesq equation

Adrian Constantin;Luc Molinet

80
Citations
On ill-posedness for the one-dimensional periodic cubic Schrodinger equation

Luc Molinet

77
Citations
Global attractor for weakly damped nonlinear Schrödinger equations in L2(R)

Olivier Goubet;Luc Molinet

30
Citations

Frequent Co-Authors

Jean-Claude Saut University of Paris-Saclay

Nikolay Tzvetkov École Normale Supérieure de Lyon

Adrian Constantin University of Vienna

External Links

Personal website of Luc Molinet

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