Luc Molinet

Publications

Article dans une revue (35)

On the Well-Posedness of the KP-I Equation Zihua Guo,Luc Molinet Annals of PDE, 2026, 12 (1), pp.11. ⟨10.1007/s40818-026-00235-5⟩ Article dans une revue hal-05577531v1
Refined bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations Luc Molinet,Tomoyuki Tanaka Journal of Hyperbolic Differential Equations, 2025, 22 (02), pp.225-260. ⟨10.1142/S0219891625500080⟩ Article dans une revue hal-05593809v1
Asymptotic stability of fast solitary waves to the Benjamin Equation May Abdallah,Mohamad Darwich,Luc Molinet Journal of Dynamics and Differential Equations, 2025, 40 p. ⟨10.1007/s10884-025-10461-3⟩ Article dans une revue hal-05554628v1
Self-similar solutions for the generalized fractional Korteweg–de Vries equation Luc Molinet,Stéphane Vento,Fred Weissler Nonlinear Analysis: Theory, Methods and Applications, 2025, 261, pp.113906. ⟨10.1016/j.na.2025.113906⟩ Article dans une revue hal-05577645v1
A note on the well-posedness in the energy space for the generalized ZK equation posed on $\mathbb{R}\times\mathbb{T}$ Luiz Gustavo Farah,Luc Molinet Nonlinear Differential Equations and Applications, 2024, 31 (5), pp.76. ⟨10.1007/s00030-024-00964-1⟩ Article dans une revue hal-05577633v1
Global Existence and Finite-Time Blow-Up for a Nonlinear Nonlocal Evolution Equation Adrian Constantin,Luc Molinet Communications in Mathematical Physics, 2023, 402 (3), pp.3233-3252. ⟨10.1007/s00220-023-04796-5⟩ Article dans une revue hal-05577669v1
On well-posedness for some Korteweg-De Vries type equations with variable coefficients Luc Molinet,Raafat Talhouk,Ibtissame Zaiter Journal of Evolution Equations, 2023, 23, pp.article number 52. ⟨10.1007/s00028-023-00904-z⟩ Article dans une revue hal-03325490v1
Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations Luc Molinet,Tomoyuki Tanaka Journal of Functional Analysis, 2022, 283 (1), pp.109490. ⟨10.1016/j.jfa.2022.109490⟩ Article dans une revue hal-05577515v1
The Boussinesq system revisited Luc Molinet,Raafat Talhouk,Ibtissam Zaiter Nonlinearity, 2021, 34 (2), pp.744-775. ⟨10.1088/1361-6544/abcea6⟩ Article dans une revue hal-02461516v1
Asymptotic Stability for Some Non positive Perturbations of the Camassa–Holm Peakon with Application to the Antipeakon–peakon Profile Luc Molinet International Mathematics Research Notices, 2020, 2020 (21), pp.7908-7943. ⟨10.1093/imrn/rny224⟩ Article dans une revue hal-01768579v2
ON UNCONDITIONAL WELL-POSEDNESS FOR THE PERIODIC MODIFIED KORTEWEG-DE VRIES EQUATION Luc Molinet,Didier Pilod,Stéphane Vento Journal of the Mathematical Society of Japan, 2019, 71 (1), pp.147-201. ⟨10.2969/jmsj/76977697⟩ Article dans une revue hal-01346221v3
A rigidity result for the Holm-Staley b-family of equations with application to the asymptotic stability of the Degasperis-Procesi peakon Luc Molinet Nonlinear Analysis: Real World Applications, 2019, 50, pp.675-705 Article dans une revue hal-01885442v1
A LIOUVILLE PROPERTY WITH APPLICATION TO ASYMPTOTIC STABILITY FOR THE CAMASSA-HOLM EQUATION Luc Molinet Archive for Rational Mechanics and Analysis, 2018, 230 (1), pp.185-230. ⟨10.1007/s00205-018-1243-3⟩ Article dans une revue hal-01768549v1
On well-posedness for some dispersive perturbations of Burgers' equation Luc Molinet,Didier Pilod,Stéphane Vento Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2018, 35 (7), pp.1719-1756 Article dans une revue hal-01464874v2
SOME REMARKS ON THE NONLINEAR SCHRODINGER EQUATION WITH FRACTIONAL DISSIPATION. Mohamad Darwich,Luc Molinet Journal of Mathematical Physics, 2016, 57 (10), pp.101502. ⟨10.1063/1.4965225⟩ Article dans une revue hal-01545104v1
Bilinear Strichartz estimates for the ZK equation and applications Luc Molinet,Didier Pilod Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2015, 32 (2), pp.347-371 Article dans une revue hal-01205993v1
Improvement of the energy method for strongly non resonant dispersive equations and applications Luc Molinet,Stéphane Vento Analysis & PDE, 2015, 8 (6), pp.1455-1495 Article dans une revue hal-01064252v1
Remarks on the Cauchy problem for the one-dimensional quadratic (fractional) heat equation Luc Molinet,Slim Tayachi Journal of Functional Analysis, 2015, 269, pp.2305-2327 Article dans une revue hal-00807047v1
Well-posedness in energy space for the periodic modified Benjamin-Ono equation Zihua Guo,Yiquan Lin,Luc Molinet Journal of Differential Equations, 2014, 256 (8), pp.2778-2806 Article dans une revue hal-01206024v1
A note on the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space Luc Molinet Proceedings of the American Mathematical Society, 2013, 141 (8), pp.2793-2798 Article dans une revue hal-00631034v1
Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: the periodic case Luc Molinet,Stéphane Vento Transactions of the American Mathematical Society, 2013, 365 (1), pp.123-141 Article dans une revue hal-00467657v2
Dispersive limit from the Kawahara to the KdV equation Luc Molinet,Yuzhao Wang Journal of Differential Equations, 2013, 255 (8), pp.2196-2219 Article dans une revue hal-00694082v2
Sharp ill-posedness results for the KdV and mKdV equations on the torus Luc Molinet Advances in Mathematics, 2012, 230 (4-6), pp.1895-1930 Article dans une revue hal-00593976v3
The Cauchy problem for the Benjamin-Ono equation in $L^2$ revisited Luc Molinet,Didier Pilod Analysis & PDE, 2012, 5 (2), pp.365-395 Article dans une revue hal-00499346v1
Global well-posedness and limit behavior for a higher-order Benjamin-Ono equation Luc Molinet,Didier Pilod Communications in Partial Differential Equations, 2012, 37 (11), pp.2050-2080 Article dans une revue hal-00637981v1
Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: the real line case Luc Molinet,Stéphane Vento Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2011, 10 (3), pp.531-560 Article dans une revue hal-00436652v2
Global well-posedness for the KP-II equation on the background of a non-localized solution Luc Molinet,Jean-Claude Saut,Nikolay Tzvetkov Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2011, 28 (5), ⟨10.1016/j.anihpc.2011.04.004⟩ Article dans une revue hal-01270936v1
A note on ill-posedness for the KdV equation Luc Molinet Differential and integral equations, 2011, 24 (7-8), pp.759-765 Article dans une revue hal-00473966v2
WELL-POSEDNESS IN H(1) FOR GENERALIZED BENJAMIN-ONO EQUATIONS ON THE CIRCLE Luc Molinet,Francis Ribaud Discrete and Continuous Dynamical Systems - Series S, 2009, 23 (4), pp.1295--1311. ⟨10.3934/dcds.2009.23.1295⟩ Article dans une revue hal-00693546v1
Global attractor and asymptotic smoothing effects for the weakly damped cubic Schrödinger equation in $L^2(\T)$ Luc Molinet Dynamics of Partial Differential Equations, 2009, 6 (1), pp.15-34 Article dans une revue hal-00291662v3
Global attractor for weakly damped Nonlinear Schrödinger equations in $L^2(\R)$ Olivier Goubet,Luc Molinet Nonlinear Analysis: Theory, Methods and Applications, 2009, 71, pp.317-320 Article dans une revue hal-00421278v1
Stability of multi antipeakon-peakons profile Khaled El Dika,Luc Molinet Discrete and Continuous Dynamical Systems - Series B, 2009, 12 (3), pp.561-577 Article dans une revue hal-00424454v1
On ill-posedness for the one-dimensional periodic cubic Schrodinger equation Luc Molinet Mathematical Research Letters, 2009, 16 (1), pp.111-120 Article dans une revue hal-00291648v2
Global well-posedness in L^2 for the periodic Benjamin-Ono equation Luc Molinet American Journal of Mathematics, 2008, 130 (3), pp.635-683 Article dans une revue hal-00016752v2
Global well-posedness for the KP-I equation on the background of a non localized solution Luc Molinet,Jean-Claude Saut,Nikolay Tzvetkov Communications in Mathematical Physics, 2007, 272 (3), pp.775-810. ⟨10.1007/s00220-007-0243-1⟩ Article dans une revue hal-00104398v1

Pré-publication, Document de travail (7)

Improved refined bilinear estimates and well-posedness for generalized KdV type equations on $\mathbb{R}$ Luc Molinet,Tomoyuki Tanaka 2026 Pré-publication, Document de travail hal-05554577v1
ON THE ORBITAL STABILITY OF THE DEGASPERIS-PROCESI ANTIPEAKON-PEAKON PROFILE Bashar Khorbatly,Luc Molinet 2019 Pré-publication, Document de travail hal-02418545v1
On the stability of the solitary waves to the (generalized) kawahara equation André Kabakouala,Luc Molinet 2016 Pré-publication, Document de travail hal-01403360v1
Optimal transportation between hypersurfaces bounding some strictly convex domains Emmanuel Humbert,Luc Molinet 2015 Pré-publication, Document de travail hal-01271012v1
Sharp ill-posedness result for the periodic Benjamin-Ono equation (ERRATUM : PAPER WITHDRAWN) Luc Molinet 2008 Pré-publication, Document de travail hal-00336559v2
Stability of multipeakons Khaled El Dika,Luc Molinet 2008 Pré-publication, Document de travail hal-00260227v1
Remarks on the mass constraint for KP type equations Luc Molinet,Jean-Claude Saut,Nikolay Tzvetkov 2006 Pré-publication, Document de travail hal-00020647v1