Luc Molinet

Publications

Article dans une revue (30)

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
Improved refined bilinear estimates and well-posedness for generalized KdV type equations on $\mathbb{R}$ Luc Molinet,Tomoyuki Tanaka Journal of Hyperbolic Differential Equations, 2025, 22 (2), pp.225-260. ⟨10.1142/S0219891625500080⟩ Article dans une revue hal-05554577v1
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
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
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 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
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
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
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
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 (6)

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