Raphaël Côte

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All published works

Action	Title	Year	Authors
+ PDF Chat	Minimal time of magnetization switching in small ferromagnetic ellipsoidal samples	2025	Raphaël Côte Clémentine Courtès Guillaume Ferrière Yannick Privat
+	Report of the ANR project "Mathematical Analysis of Topological Singularities in some physical problems" (MAToS), 2015-2019	2024	Raphaël Côte Radu Ignat Stefan Le Coz Mihai Mariş Vincent Millot Didier Smets
+ PDF Chat	Construction of multi solitary waves with symmetry for the damped nonlinear Klein-Gordon equation	2024	Raphaël Côte Haiming Du
+ PDF Chat	On the set of non radiative solutions for the energy critical wave equation	2024	Raphaël Côte Camille Laurent
+ PDF Chat	Correction to: Perturbation at Blow-Up Time of Self-Similar Solutions for the Modified Korteweg–de Vries Equation	2024	Simão Correia Raphaël Côte
+	Micromagnetic simulations of the size dependence of the Curie temperature in ferromagnetic nanowires and nanolayers	2024	Clémentine Courtès Matthieu Boileau Raphaël Côte Paul-Antoine Hervieux Giovanni Manfredi
+ PDF Chat	Perturbation at Blow-Up Time of Self-Similar Solutions for the Modified Korteweg–de Vries Equation	2024	Simão Correia Raphaël Côte
+ PDF Chat	Sharp blow-up stability for self-similar solutions of the modified Korteweg-de Vries equation	2024	Simão Correia Raphaël Côte
+	Micromagnetic simulations of the size dependence of the Curie temperature in ferromagnetic nanowires and nanolayers	2024	Clémentine Courtès Matthieu Boileau Raphaël Côte Paul-Antoine Hervieux Giovanni Manfredi
+	Existence and Uniqueness of Domain Walls for Notched Ferromagnetic Nanowires	2024	Raphaël Côte Clémentine Courtès Guillaume Ferriere Ludovic Godard-Cadillac Yannick Privat
+ PDF Chat	Asymptotic Stability of 2-Domain Walls for the Landau–Lifshitz–Gilbert Equation in a Nanowire With Dzyaloshinskii–Moriya Interaction	2023	Raphaël Côte Guillaume Ferriere
+ PDF Chat	Improved Uniqueness of Multi-breathers of the Modified Korteweg–de Vries Equation	2023	Raphaël Côte A. Semenov
+ PDF Chat	Asymptotic Stability of Precessing Domain Walls for the Landau–Lifshitz–Gilbert Equation in a Nanowire with Dzyaloshinskii–Moriya Interaction	2023	Raphaël Côte Radu Ignat
+	Minimal time of magnetization switching in small ferromagnetic ellipsoidal samples	2023	Raphaël Côte Clémentine Courtès Guillaume Ferrière Yannick Privat
+	Hamiltonian reduction using a convolutional auto-encoder coupled to an Hamiltonian neural network	2023	Raphaël Côte Emmanuel Franck Laurent Navoret Guillaume Steimer Vincent Vigon
+	A scattering operator for some nonlinear elliptic equations	2023	Camille Laurent Raphaël Côte
+	Concentration close to the cone for linear waves	2022	Raphaël Côte Camille Laurent
+ PDF Chat	Spatial decay of multi-solitons of the generalized Korteweg-de Vries and nonlinear Schrödinger equations	2022	Raphaël Côte Xavier Friederich
+ PDF Chat	SPATIAL DECAY OF MULTI-SOLITONS OF THE GENERALIZED KORTEWEG-DE VRIES AND NONLINEAR SCHRÖDINGER EQUATIONS	2022	Raphaël Côte Xavier Friederich
+ PDF Chat	SPATIAL DECAY OF THE MULTI-SOLITONS OF THE GENERALIZED KORTEWEG-DE VRIES EQUATION	2022	Raphaël Côte Xavier Friederich
+ PDF Chat	Asymptotics of solutions with a compactness property for the nonlinear damped Klein–Gordon equation	2022	Raphaël Côte Yuan Xu
+	Perturbation at blow-up time of self-similar solutions for the modified Korteweg-de Vries equation	2022	Simão Correia Raphaël Côte
+	Asymptotic stability of precessing domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction	2022	Raphaël Côte Radu Ignat
+	Improved uniqueness of multi-breathers of the modified Korteweg-de Vries equation	2022	Raphaël Côte A. Semenov
+	Asymptotic stability of 2-domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction	2022	Raphaël Côte Guillaume Ferriere
+ PDF Chat	Description and Classification of 2-Solitary Waves for Nonlinear Damped Klein–Gordon Equations	2021	Raphaël Côte Yvan Martel Yuan Xu Lifeng Zhao
+	On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations	2021	Raphaël Côte Xavier Friederich
+	Corrigendum to “Multi-travelling waves for the nonlinear Klein-Gordon equation”	2021	Raphaël Côte Yvan Martel
+ PDF Chat	Long-time Asymptotics of the One-dimensional Damped Nonlinear Klein–Gordon Equation	2021	Raphaël Côte Yvan Martel Yuan Xu
+ PDF Chat	Polynomial growth of high sobolev norms of solutions to the Zakharov-Kuznetsov equation	2021	Raphaël Côte Frédéric Valet
+	Asymptotics of solutions with a compactness property for the nonlinear damped Klein-Gordon equation	2021	Raphaël Côte Xu Yuan
+	On smoothness and uniqueness of multi-solitons of the non-linear Schr{\"o}dinger equations	2020	Raphaël Côte Xavier Friederich
+	Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation	2020	Simão Correia Raphaël Côte Luis Vega
+	On smoothness and uniqueness of multi-solitons of the non-linear Schr{ö}dinger equations	2020	Raphaël Côte Xavier Friederich
+ PDF Chat	Self-Similar Dynamics for the Modified Korteweg–de Vries Equation	2019	Simão Correia Raphaël Côte Luis Vega
+ PDF Chat	Self-similar solutions and critical spaces for the modified Korteweg-de Vries equation	2019	Raphaël Côte
+	Self-similar dynamics for the modified Korteweg-de Vries equation	2019	Simão Correia Raphaël Côte Luis Vega
+	Description and classification of 2-solitary waves for nonlinear damped Klein-Gordon equations	2019	Raphaël Côte Yvan Martel Yuan Xu Lifeng Zhao
+	Polynomial Growth of high Sobolev Norms of solutions to the Zakharov-Kuznetsov Equation	2019	Raphaël Côte Frédéric Valet
+	Self-similar dynamics for the modified Korteweg-de Vries equation	2019	Simão Correia Raphaël Côte Luis Vega
+	Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation	2018	Simão Correia Raphaël Côte Luis Vega
+	Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation	2018	Simão Correia Raphaël Côte Luis Vega
+ PDF Chat	Profiles for the Radial Focusing 4d Energy-Critical Wave Equation	2017	Raphaël Côte Carlos E. Kenig Andrew Lawrie Wilhelm Schlag
+	Multi-travelling waves for the nonlinear Klein-Gordon equation	2017	Raphaël Côte Yvan Martel
+ PDF Chat	Limiting Motion for the Parabolic Ginzburg–Landau Equation with Infinite Energy Data	2016	Delphine Côte Raphaël Côte
+ PDF Chat	Corrigendum: On the Soliton Resolution for Equivariant Wave Maps to the Sphere	2016	Raphaël Côte
+	Milne's Equation revisited: Exact Asymptotic Solutions	2016	Джи Шу I. Simbotin Raphaël Côte
+ PDF Chat	Asymptotic Stability of High-dimensional Zakharov–Kuznetsov Solitons	2015	Raphaël Côte Claudio Muñoz Didier Pilod Gideon Simpson
+ PDF Chat	Characterization of large energy solutions of the equivariant wave map problem: I	2015	Raphaël Côte Carlos E. Kenig Andrew Lawrie Wilhelm Schlag
+ PDF Chat	Characterization of large energy solutions of the equivariant wave map problem: II	2015	Raphaël Côte Carlos E. Kenig Andrew Lawrie Wilhelm Schlag
+ PDF Chat	On the Soliton Resolution for Equivariant Wave Maps to the Sphere	2014	Raphaël Côte
+ PDF Chat	Asymptotic Stability of high-dimensional Zakharov-Kuznetsov solitons	2014	Raphaël Côte Claudio Muñoz Didier Pilod Gideon Simpson
+ PDF Chat	A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls	2014	Raphaël Côte Radu Ignat Évelyne Miot
+ PDF Chat	Multi-solitons for nonlinear Klein–Gordon equations	2014	Raphaël Côte Claudio Muñoz
+ PDF Chat	A thin-film limit in the Landau–Lifshitz–Gilbert equation relevant for the formation of Néel walls	2014	Raphaël Côte Radu Ignat Évelyne Miot
+	Profiles for the radial focusing 4d energy-critical wave equation	2014	Raphaël Côte Carlos E. Kenig Andrew Lawrie Wilhelm Schlag
+	A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls	2014	Raphaël Côte Radu Ignat Évelyne Miot
+	Profiles for the radial focusing 4d energy-critical wave equation	2014	Raphaël Côte Carlos E. Kenig Andrew Lawrie Wilhelm Schlag
+ PDF Chat	Energy partition for the linear radial wave equation	2013	Raphaël Côte Carlos E. Kenig Wilhelm Schlag
+	Soliton resolution for equivariant wave maps to the sphere	2013	Raphaël Côte
+ PDF Chat	Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension	2013	Raphaël Côte Hatem Zaag
+	Soliton resolution for equivariant wave maps to the sphere	2013	Raphaël Côte
+	Multi-solitons for nonlinear Klein-Gordon equations	2012	Raphaël Côte Claudio Muñoz
+	Energy partition for the linear radial wave equation	2012	Raphaël Côte Carlos E. Kenig Wilhelm Schlag
+	Characterization of large energy solutions of the equivariant wave map problem: II	2012	Raphaël Côte Carlos E. Kenig Andrew Lawrie Wilhelm Schlag
+	Multi-solitons for nonlinear Klein-Gordon equations	2012	Raphaël Côte Claudio Muñoz
+	Energy partition for the linear radial wave equation	2012	Raphaël Côte Carlos E. Kenig Wilhelm Schlag
+	Construction of a multi-soliton blow-up solution to the semilinear wave equation in one space dimension	2011	Raphaël Côte Hatem Zaag
+	High-speed excited multi-solitons in nonlinear Schrödinger equations	2011	Raphaël Côte Stefan Le Coz
+ PDF Chat	Construction of multi-soliton solutions for the $L^2$-supercritical gKdV and NLS equations	2011	Raphaël Côte Yvan Martel Frank Merle
+	Construction of a multi-soliton blow-up solution to the semilinear wave equation in one space dimension	2011	Raphaël Côte Hatem Zaag
+	Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations	2009	Raphaël Côte Yvan Martel Frank Merle
+ PDF Chat	Scattering Below Critical Energy for the Radial 4D Yang-Mills Equation and for the 2D Corotational Wave Map System	2008	Raphaël Côte Carlos E. Kenig Frank Merle
+ PDF Chat	Scaling-sharp dispersive estimates for the Korteweg–de Vries group	2008	Raphaël Côte Luis Vega
+ PDF Chat	Construction of solutions to the L2-critical KdV equation with a given asymptotic behaviour	2007	Raphaël Côte
+	Construction de solutions pour les équations de Korteweg-de Vries généralisées	2007	Raphaël Côte
+	Construction of solutions to the subcritical gKdV equations with a given asymptotical behavior	2006	Raphaël Côte
+ PDF Chat	Large data wave operator for the generalized Korteweg-de Vries equations	2006	Raphaël Côte
+	Construction et propriétés de solutions pour des équations dispersives focalisantes	2006	Raphaël Côte
+	None	2005	Raphaël Côte

Common Coauthors

Coauthor	Papers Together
Simão Correia	10
Carlos E. Kenig	10
Wilhelm Schlag	9
Yvan Martel	7
Luis Vega	7
Xavier Friederich	6
Radu Ignat	6
Andrew Lawrie	6
Clémentine Courtès	5
Claudio Muñoz	5
Yuan Xu	4
Hatem Zaag	3
Yannick Privat	3
Camille Laurent	3
Frank Merle	3
Évelyne Miot	3
Guillaume Ferrière	2
Didier Pilod	2
Frédéric Valet	2
Stefan Le Coz	2
Matthieu Boileau	2
Gideon Simpson	2
Guillaume Ferriere	2
Lifeng Zhao	2
A. Semenov	2
Giovanni Manfredi	2
I. Simbotin	1
Paul-Antoine Hervieux	1
Laurent Navoret	1
Emmanuel Franck	1
Guillaume Steimer	1
Delphine Côte	1
Haiming Du	1
Vincent Vigon	1
Джи Шу	1
Vincent Millot	1
Guillaume Ferriere	1
Paul-Antoine Hervieux	1
Didier Smets	1
Ludovic Godard-Cadillac	1
Mihai Mariş	1
Xu Yuan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations	2005	Yvan Martel	15
+ PDF Chat	Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity	1990	Frank Merle	14
+ PDF Chat	Construction of multi-soliton solutions for the $L^2$-supercritical gKdV and NLS equations	2011	Raphaël Côte Yvan Martel Frank Merle	13
+	Modulational Stability of Ground States of Nonlinear Schrödinger Equations	1985	Michael I. Weinstein	11
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	11
+ PDF Chat	Multi solitary waves for nonlinear Schrödinger equations	2006	Yvan Martel Frank Merle	10
+	Nonlinear scalar field equations, I existence of a ground state	1983	Henri Berestycki P. L. Lions	9
+	Stability theory of solitary waves in the presence of symmetry, II	1990	Manoussos G. Grillakis Jalal Shatah Walter A. Strauss	9
+	Stability and Asymptotic Stability for Subcritical gKdV Equations	2002	Yvan Martel Frank Merle Tai‐Peng Tsai	8
+ PDF Chat	Multi-solitons for nonlinear Klein–Gordon equations	2014	Raphaël Côte Claudio Muñoz	8
+	Uniqueness of positive solutions of Δu−u+up=0 in Rn	1989	Man Kam Kwong	8
+ PDF Chat	Dynamics of Threshold Solutions for Energy-Critical Wave Equation	2008	Thomas Duyckaerts Franck Merle	8
+	High frequency approximation of solutions to critical nonlinear wave equations	1999	Hajer Bahouri Patrick Gérard	8
+	Stability in H1 of the sum of K solitary waves for some nonlinear Schrödinger equations	2006	Yvan Martel Frank Merle Tai‐Peng Tsai	8
+	Self-similar planar curves related to modified Korteweg–de Vries equation	2007	Galina Perelman Luis Vega	7
+	Asymptotic stability of solitons for mKdV	2016	Pierre Germain Fabio Pusateri Frédéric Rousset	7
+ PDF Chat	Long time behavior of solutions to the mKdV	2015	Benjamin Harrop‐Griffiths	7
+ PDF Chat	Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation	2011	Thomas Duyckaerts Carlos E. Kenig Frank Merle	7
+ PDF Chat	Multi-Soliton Solutions for the Supercritical gKdV Equations	2010	Vianney Combet	7
+	Lyapunov stability of ground states of nonlinear dispersive evolution equations	1986	Michael I. Weinstein	7
+ PDF Chat	Asymptotic Analysis of Soliton Problems	1986	Peter Cornelis Schuur	6
+	Multi-travelling waves for the nonlinear Klein-Gordon equation	2017	Raphaël Côte Yvan Martel	6
+ PDF Chat	Profiles of bounded radial solutions of the focusing, energy-critical wave equation	2012	Thomas Duyckaerts Carlos E. Kenig Frank Merle	6
+	A boundary value problem associated with the second painlev� transcendent and the Korteweg-de Vries equation	1980	S. P. Hastings John Mcleod	6
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg	6
+	Asymptotics for the painlevé II equation	1995	Percy Deift Xin Zhou	6
+ PDF Chat	Classification of the radial solutions of the focusing, energy-critical wave equation	2013	Thomas Duyckaerts Carlos E. Kenig Frank Merle	6
+	A Liouville theorem for the critical generalized Korteweg–de Vries equation	2000	Yvan Martel Frank Merle	6
+	Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations	2001	Yvan Martel Frank Merle	6
+ PDF Chat	Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation	2008	Carlos E. Kenig Frank Merle	5
+ PDF Chat	Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case	2012	Thomas Duyckaerts Carlos E. Kenig Frank Merle	5
+	Orbital stability of standing waves for some nonlinear Schr�dinger equations	1982	Thierry Cazenave Pierre‐Louis Lions	5
+	On the cauchy problem for equivariant wave maps	1994	Jalal Shatah A. Shadi Tahvildar‐Zadeh	5
+ PDF Chat	Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension	2012	Frank Merle Hatem Zaag	5
+	On the initial value problem of the second Painlev� Transcendent	1983	A. S. Fokas Mark J. Ablowitz	5
+	Existence of nonstationary bubbles in higher dimensions	2002	Mihai Mariş	5
+ PDF Chat	Characterization of large energy solutions of the equivariant wave map problem: I	2015	Raphaël Côte Carlos E. Kenig Andrew Lawrie Wilhelm Schlag	5
+	Invariant Manifolds and Dispersive Hamiltonian Evolution Equations	2011	Kenji Nakanishi Wilhelm Schlag	5
+	Instability of solitons for the critical generalized Korteweg—de Vries equation	2001	Yvan Martel Franck Merle	5
+ PDF Chat	Stability of Blow-Up Profile and Lower Bounds for Blow-Up Rate for the Critical Generalized KdV Equation	2002	Yvan Martel Frank Merle	5
+ PDF Chat	Nonlinear scalar field equations	1992	W. Rother	5
+ PDF Chat	Global dynamics above the ground state energy for the one-dimensional NLKG equation	2011	Joachim Krieger Kenji Nakanishi Wilhelm Schlag	5
+ PDF Chat	Uniqueness of ground states for quasilinear elliptic operators	1998	Patrizia Pucci James Serrin	4
+	Equivariant wave maps in two space dimensions	2003	Michaël Struwe	4
+	Uniqueness of positive radial solutions of Δu+f(u)=0 in ℝn	1987	Kevin McLeod James Serrin	4
+ PDF Chat	Multi-solitons and Related Solutions for the Water-waves System	2015	Ming Mei Frédéric Rousset Nikolay Tzvetkov	4
+ PDF Chat	Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension	2013	Raphaël Côte Hatem Zaag	4
+	On the asymptotic behavior of spherically symmetric wave maps	1993	Demetrios Christodoulou A. Shadi Tahvildar‐Zadeh	4
+	On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case	1979	J. Ginibre G. Velo	4
+ PDF Chat	Threshold solutions for the focusing 3D cubic Schrödinger equation	2010	Thomas Duyckaerts Svetlana Roudenko	4