Stefan Le Coz

Publications

Article dans une revue (21)

Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis Christophe Besse,Romain Duboscq,Stefan Le Coz ESAIM: Mathematical Modelling and Numerical Analysis, 2025, 59 (2), pp.899 - 923. ⟨10.1051/m2an/2025009⟩ Article dans une revue hal-04151806v2
Variational properties of space-periodic standing waves of nonlinear Schrödinger equations with general nonlinearities Perla Kfoury,Stefan Le Coz ESAIM: Control, Optimisation and Calculus of Variations, 2024, 30 (79), pp.1-31. ⟨10.1051/cocv/2024065⟩ Article dans une revue hal-04501704v1
Analysis of stability and instability for standing waves of the double power one dimensional nonlinear Schrödinger equation Perla Kfoury,Stefan Le Coz,Tai-Peng Tsai Comptes Rendus. Mathématique, 2022, ⟨10.5802/crmath.351⟩ Article dans une revue hal-03476457v2
Gradient Flow Approach to the Calculation of Stationary States on Nonlinear Quantum Graphs Christophe Besse,Romain Duboscq,Stefan Le Coz Annales Henri Lebesgue, 2022, 5, pp.387-428. ⟨10.5802/ahl.126⟩ Article dans une revue hal-02798328v3
Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library Christophe Besse,Romain Duboscq,Stefan Le Coz SMAI Journal of Computational Mathematics, 2022, 8, pp.1-47. ⟨10.5802/smai-jcm.78⟩ Article dans une revue hal-03164639v1
Stability of the multi-solitons of the modified Korteweg-de Vries equation Stefan Le Coz,Zhong Wang Nonlinearity, 2021, ⟨10.1088/1361-6544/ac20a7⟩ Article dans une revue hal-02948841v2
Stability of multi-solitons for the derivative nonlinear Schrödinger equation Stefan Le Coz,Yifei Wu International Mathematics Research Notices, 2018, 13, pp.4120-4170 Article dans une revue hal-01366702v1
Stability of periodic waves of 1D cubic nonlinear Schrödinger equations Stephen Gustafson,Stefan Le Coz,Tai-Peng Tsai Applied Mathematics Research eXpress, 2017, 2017 (2), pp.431--487. ⟨10.1093/amrx/abx004⟩ Article dans une revue hal-01330828v2
On the Cauchy problem and the black solitons of a singularly perturbed Gross-Pitaevskii equation Isabella Ianni,Stefan Le Coz,Julien Royer SIAM Journal on Mathematical Analysis, 2017, 49 (2), pp.1060-1099. ⟨10.1137/15M1029606⟩ Article dans une revue hal-01163000v3
Minimal mass blow up solutions for a double power nonlinear Schrödinger equation Stefan Le Coz,Yvan Martel,Pierre Raphaël Revista Matemática Iberoamericana, 2016, 32 (3), pp.795-833. ⟨10.4171/rmi/899⟩ Article dans une revue hal-01011271v1
Multi-speed solitary waves of nonlinear Schrödinger systems: theoretical and numerical analysis Fanny Delebecque,Stefan Le Coz,Rada-Maria Weishäupl Communications in Mathematical Sciences, 2016, 14 (6), pp.1599-1624. ⟨10.4310/CMS.2016.v14.n6.a7⟩ Article dans une revue hal-01140207v3
Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations Stefan Le Coz,Dong Li,Tai-Peng Tsai Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2015, 145 (6), pp.1251--1282. ⟨10.1017/S030821051500030X⟩ Article dans une revue hal-00811621v3
Multi-Speeds solitary waves solutions for nonlinear Schrödinger systems Isabella Ianni,Stefan Le Coz Journal of the London Mathematical Society, 2014, 89 (2), pp.623-639. ⟨10.1112/jlms/jdt083⟩ Article dans une revue hal-00688563v2
Multi-solitary waves for the nonlinear Klein-Gordon equation Jacopo Bellazzini,Marco Ghimenti,Stefan Le Coz Communications in Partial Differential Equations, 2014, 39 (8), pp.1479-1522. ⟨10.1080/03605302.2013.860988⟩ Article dans une revue hal-00789123v2
Infinite soliton and kink-soliton trains for nonlinear Schrödinger equations Stefan Le Coz,Tai-Peng Tsai Nonlinearity, 2014, 27 (11), pp.2689-2709 Article dans une revue hal-00867772v1
On the stability of standing waves of Klein-Gordon equations in a semiclassical regime Marco Ghimenti,Stefan Le Coz,Marco Squassina Discrete and Continuous Dynamical Systems - Series A, 2012, 33 (6), pp.2389--2401. ⟨10.3934/dcds.2013.33.2389⟩ Article dans une revue hal-00731156v1
High speed excited multi-solitons in nonlinear Schrödinger equations Raphaël Côte,Stefan Le Coz Journal de Mathématiques Pures et Appliquées, 2011, 96 (2), http://dx.doi.org/10.1016/j.matpur.2011.03.004. ⟨10.1016/j.matpur.2011.03.004⟩ Article dans une revue hal-00503279v2
Instability for standing waves of nonlinear Klein-Gordon equations via mountain-pass arguments Louis Jeanjean,Stefan Le Coz Transactions of the American Mathematical Society, 2009, pp.Trans. Amer. Math. Soc. 361 (2009), 5401-5416. ⟨10.1090/S0002-9947-09-04790-4⟩ Article dans une revue hal-00183260v1
Orbital stability of standing waves of a semiclassical nonlinear Schrödinger-Poisson equation Isabella Ianni,Stefan Le Coz Advances in Difference Equations, 2009, pp.Adv. Differential Equations 14 (2009), no. 7-8, 717-748 Article dans une revue hal-00731233v1
Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential Stefan Le Coz,Reika Fukuizumi,Gadi Fibich,Baruch Ksherim,Yonatan Sivan Physica D: Nonlinear Phenomena, 2008, pp.Phys. D 237 (2008), no. 8, 1103-1128. ⟨10.1016/j.physd.2007.12.004⟩ Article dans une revue hal-00731168v1
A note on Berestycki-Cazenave's classical instability result for nonlinear Schrödinger equations Stefan Le Coz Advanced Nonlinear Studies, 2008, pp.Adv. Nonlinear Stud. 8 (2008), no. 3, 455-463 Article dans une revue hal-00182752v1

Communication dans un congrès (1)

Finite and infinite soliton and kink-soliton trains of nonlinear Schrödinger equations Stefan Le Coz,Tai-Peng Tsai Proceedings of the Sixth International Congress of Chinese Mathematicians. Vol. I, 2013, Taipei, Taiwan. pp.43-56 Communication dans un congrès hal-01069822v2

Chapitre d'ouvrage (1)

Standing waves in nonlinear Schrödinger equations Stefan Le Coz Analytical and Numerical Aspects of Partial Differential Equations, de Gruyter, pp.151-192, 2008 Chapitre d'ouvrage hal-00731236v1

Pré-publication, Document de travail (6)

Dispersion for the Schrödinger equation on the line with short-range array of delta potentials Romain Duboscq,Élio Durand-Simonnet,Stefan Le Coz 2026 Pré-publication, Document de travail hal-05536796v2
Ground States for the Nonlinear Schrödinger Equation on Open Books and Dimensional Reduction to Metric Graphs Stefan Le Coz,Boris Shakarov 2025 Pré-publication, Document de travail hal-05425865v1
Traveling waves in periodic metric graphs via spatial dynamics Stefan Le Coz,Dmitry E. Pelinovsky,Guido Schneider 2025 Pré-publication, Document de travail hal-05054394v1
Analysis of quasi-periodic waves of cubic nonlinear Schrödinger equations Perla Kfoury,Stefan Le Coz,Tai-Peng Tsai 2025 Pré-publication, Document de travail hal-05323205v1
Ground States of the Nonlinear Schrödinger Equation on the Tadpole Graph with a Repulsive Delta Vertex Condition Romain Duboscq,Élio Durand-Simonnet,Stefan Le Coz 2025 Pré-publication, Document de travail hal-05053744v2
A minimal mass blow-up solution on a nonlinear quantum star graph François Genoud,Stefan Le Coz,Julien Royer 2024 Pré-publication, Document de travail hal-04045570v2

Rapport (1)

Report of the ANR project &quot;Mathematical Analysis of Topological Singularities in some physical problems&quot; (MAToS), 2015-2019 Raphaël Côte,Radu Ignat,Stefan Le Coz,Mihai Mariş,Vincent Millotet al. Institut de Mathématiques de Toulouse & Institut Universitaire de France, UMR 5219, Université de Toulouse, CNRS, UPS IMT. 2024 Rapport hal-04855491v1

Thèse (1)

Existence, stabilité et instabilité d'ondes stationnaires pour quelques équations de Klein-Gordon et Schrödinger non linéaires Stefan Le Coz Mathématiques [math]. Université de Franche-Comté, 2007. Français. ⟨NNT : ⟩ Thèse tel-00239293v1

HDR (1)

Existence et stabilité de solitons, multi-solitons et solutions explosives dans quelques équations dispersives non linéaires Stefan Le Coz Analysis of PDEs [math.AP]. Université Toulouse 3, 2018 HDR tel-01958321v1