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Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system

 Raphaël Côte , Carlos Kenig , Frank Merle
Communications in Mathematical Physics, 2008, 284 (1), pp.203-225. ⟨10.1007/s00220-008-0604-4⟩
Article dans une revue hal-00221387v1
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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
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Asymptotic stability of 2-domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction

 Raphaël Côte , Guillaume Ferriere
2022
Pré-publication, Document de travail hal-03913853v1
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Polynomial Growth of high Sobolev Norms of solutions to the Zakharov-Kuznetsov Equation

 Raphaël Côte , Frédéric Valet
Communications on Pure and Applied Analysis, 2021, 20 (3), pp.1039-1058. ⟨10.3934/cpaa.2021005⟩
Article dans une revue hal-02397280v2

A thin-film limit in the Landau–Lifshitz–Gilbert equation relevant for the formation of Néel walls

 Raphaël Côte , Radu Ignat , Evelyne Miot
Journal of Fixed Point Theory and Applications, 2014, 15 (1), pp.241-272. ⟨10.1007/s11784-014-0183-2⟩
Article dans une revue hal-02006565v1
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Scaling-sharp dispersive estimates for the Korteweg-de Vries group

 Raphaël Côte , Luis Vega
Comptes Rendus. Mathématique, 2008, 346, pp.845-848. ⟨10.1016/j.crma.2008.05.003⟩
Article dans une revue hal-00273050v1
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Asymptotic stability of precessing domain walls for the Landau–Lifshitz–Gilbert equation in a nanowire with Dzyaloshinskii–Moriya interaction

 Raphaël Côte , Radu Ignat
Communications in Mathematical Physics, 2023, 401 (3), pp.2901-2957. ⟨10.1007/s00220-023-04714-9⟩
Article dans une revue hal-04281131v1

Construction of a multi-soliton blow-up solution to the semilinear wave equation in one space dimension

 Raphaël Côte , Hatem Zaag
Communications on Pure and Applied Mathematics, 2013, 66 (10), pp.1541-1581. ⟨10.1002/cpa.21452⟩
Article dans une revue hal-00638545v1
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Sharp blow-up stability for self-similar solutions of the modified Korteweg-de Vries equation

 Simão Correia , Raphaël Côte
2024
Pré-publication, Document de travail hal-04475652v1
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On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations

 Raphaël Côte , Xavier Friederich
Communications in Partial Differential Equations, In press, ⟨10.1080/03605302.2021.1941107⟩
Article dans une revue hal-02873307v3
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Multi-travelling waves for the nonlinear klein-gordon equation

 Raphaël Côte , Yvan Martel
Transactions of the American Mathematical Society, In press, ⟨10.1090/tran/7303⟩
Article dans une revue hal-01411081v2

Description and Classification of 2-Solitary Waves for Nonlinear Damped Klein–Gordon Equations

 Raphaël Côte , Yvan Martel , Xu Yuan , Lifeng Zhao
Communications in Mathematical Physics, 2021, 388 (3), pp.1557-1601. ⟨10.1007/s00220-021-04241-5⟩
Article dans une revue hal-03517769v1

Asymptotic Stability of high-dimensional Zakharov-Kuznetsov solitons

 Raphaël Côte , Claudio Muñoz , Didier Pilod , Gideon Simpson
2014
Pré-publication, Document de travail hal-01079251v1
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Energy partition for the linear radial wave equation

 Raphaël Côte , Carlos Kenig , Wilhelm Schlag
Mathematische Annalen, 2014, 358 (3-4), pp.573-607. ⟨10.1007/s00208-013-0970-x⟩
Article dans une revue hal-00832749v1

Asymptotic stability of precessing domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction

 Raphaël Côte , Radu Ignat
2022
Pré-publication, Document de travail hal-03564205v1
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PERTURBATION AT BLOW-UP TIME OF SELF-SIMILAR SOLUTIONS FOR THE MODIFIED KORTEWEG-DE VRIES EQUATION

 Simão Correia , Raphaël Côte
2022
Pré-publication, Document de travail hal-03517090v1
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Les solitons

 Raphaël Côte
Gazette des Mathématiciens, 2017, 153, pp.59-63
Article dans une revue hal-03517774v1

Asymptotic Stability of High-dimensional Zakharov–Kuznetsov Solitons

 Raphaël Côte , Claudio Muñoz , Didier Pilod , Gideon Simpson
Archive for Rational Mechanics and Analysis, 2016, 220 (2), pp.639-710. ⟨10.1007/s00205-015-0939-x⟩
Article dans une revue hal-03517772v1

Long-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation

 Raphaël Côte , Yvan Martel , Xu Yuan
Archive for Rational Mechanics and Analysis, 2021, 239 (3), pp.1837-1874. ⟨10.1007/s00205-020-01605-4⟩
Article dans une revue hal-03517767v1
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Improved uniqueness of multi-breathers of the modified Korteweg-de Vries equation

 Raphaël Côte , Alexander Semenov
2022
Pré-publication, Document de travail hal-03779959v1
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Limiting motion for the parabolic Ginzburg-Landau equation with infinite energy data

 Delphine Côte , Raphaël Côte
Communications in Mathematical Physics, 2017, 350 (2), pp.507-568. ⟨10.1007/s00220-016-2736-2⟩
Article dans une revue hal-01235904v2
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Characterization of large energy solutions of the equivariant wave map problem: I

 Raphaël Côte , Carlos Kenig , Andrew Lawrie , Wilhelm Schlag
American Journal of Mathematics, 2015, 137 (1), pp.139-207
Article dans une revue hal-00832750v1
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On the Soliton resolution for equivariant wave maps to the sphere

 Raphaël Côte
Communications on Pure and Applied Mathematics, 2015, 68 (11), pp.1946-2004
Article dans une revue hal-00825115v2
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Hamiltonian reduction using a convolutional auto-encoder coupled to an Hamiltonian neural network

 Raphaël Côte , Emmanuel Franck , Laurent Navoret , Guillaume Steimer , Vincent Vigon
2023
Pré-publication, Document de travail hal-04237799v2
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Self-similar dynamics for the modified Korteweg-de Vries equation

 Simão Correia , Raphaël Côte , Luis Vega
International Mathematics Research Notices, 2021, 2021 (13), pp.9958-10013. ⟨10.1093/imrn/rnz383⟩
Article dans une revue hal-02092626v2

Asymptotics of solutions with a compactness property for the nonlinear damped Klein-Gordon equation

 Raphaël Côte , Xu Yuan
Nonlinear Analysis: Theory, Methods and Applications, 2022, 218, ⟨10.1016/j.na.2021.112768⟩
Article dans une revue hal-03517771v1
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Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations

 Raphaël Côte , Yvan Martel , Frank Merle
Revista Matemática Iberoamericana, 2011, 27 (1), pp.273-302. ⟨10.4171/RMI/636⟩
Article dans une revue hal-00385072v1
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Multi-solitons for nonlinear Klein-Gordon equations

 Raphaël Côte , Claudio Muñoz
Forum of Mathematics, Sigma, 2014, 2, pp.e15. ⟨10.1017/fms.2014.13⟩
Article dans une revue hal-00832756v1
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Concentration close to the cone for linear waves

 Raphaël Côte , Camille Laurent
Revista Matemática Iberoamericana, 2024, 40 (1), pp.201-250. ⟨10.4171/RMI/1399⟩
Article dans une revue hal-03347492v2
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Characterization of large energy solutions of the equivariant wave map problem: II

 Raphaël Côte , Carlos Kenig , Andrew Lawrie , Wilhelm Schlag
American Journal of Mathematics, 2015, 137 (1), pp.209-250. ⟨10.1353/ajm.2015.0003⟩
Article dans une revue hal-00832752v1
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