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Mathematics

D-Index
32
Citations
4912
World Ranking
3166
National Ranking
188

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

  • Global Weak Solutions for a Shallow Water Equation

    Adrian Constantin;Luc Molinet

  • Ill-Posedness Issues for the Benjamin--Ono and Related Equations

    Luc Molinet;Jean-Claude Saut;Nikolay Tzvetkov

  • Orbital stability of solitary waves for a shallow water equation

    Adrian Constantin;Luc Molinet

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

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

  • Stability of multipeakons

    Khaled El Dika;Luc Molinet

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

    Luc Molinet

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

    Luc Molinet

  • On the low regularity of the Korteweg-de Vries-Burgers equation

    Luc Molinet;Francis Ribaud

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

    Luc Molinet;Francis Ribaud

  • Global well-posedness for the KP-I equation

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

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

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

  • Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications

    Luc Molinet;Didier Pilod

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

    Luc Molinet;Didier Pilod

  • 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

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

    Luc Molinet;Jean-Claude Saut;Nikolay Tzvetkov

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

    Luc Molinet

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

    Luc Molinet

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

    Luc Molinet;Francis Ribaud

  • The initial value problem for a generalized Boussinesq equation

    Adrian Constantin;Luc Molinet

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

    Luc Molinet

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

    Olivier Goubet;Luc Molinet

Frequent Co-Authors

Jean-Claude Saut
Jean-Claude Saut University of Paris-Saclay
Nikolay Tzvetkov
Nikolay Tzvetkov École Normale Supérieure de Lyon
Adrian Constantin
Adrian Constantin University of Vienna

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