Luc Molinet

36
Documents

Publications

Publications

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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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