Stefan Le Coz

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Publications

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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
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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
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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-04725306v1
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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

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
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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

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
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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
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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
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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
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Report of the ANR project "Mathematical Analysis of Topological Singularities in some physical problems" (MAToS), 2015-2019

Raphaël Côte , Radu Ignat , Stefan Le Coz , Mihai Mariş , Vincent Millot et al.

Institut de Mathématiques de Toulouse & Institut Universitaire de France, UMR 5219, Université de Toulouse, CNRS, UPS IMT. 2024

Rapport hal-04855491v1