On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation I
Fabrice Bethuel
,
Philippe Gravejat
,
Jean-Claude Saut
,
Didier Smets
Journal articles
hal-00334268v2
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Asymptotic stability of the black soliton for the Gross-Pitaevskii equation
Philippe Gravejat
,
Didier Smets
Journal articles
hal-01002094v1
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Deux modèles effectifs pour les champs électromagnétiques dans le vide de Dirac
Philippe Gravejat
,
Christian Hainzl
,
Mathieu Lewin
,
Eric Séré
Other publications
hal-01358185v1
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Les équations d'Euler, des ondes et de Korteweg-de Vries comme limites asymptotiques de l'équation de Gross-Pitaevskii
Raphaël Danchin
,
Fabrice Bethuel
,
Philippe Gravejat
,
Jean-Claude Saut
,
Didier Smets
Séminaire Équations aux Dérivées Partielles. École Polytechnique, Palaiseau , 2008, France. 12 p
Conference papers
hal-00794519v1
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Co-rotating vortices with N fold symmetry for the inviscid surface quasi-geostrophic equation
Ludovic Godard-Cadillac
,
Philippe Gravejat
,
Didier Smets
2020
Preprints, Working Papers, ...
hal-02967850v1
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Smooth travelling-wave solutions to the inviscid surface quasigeostrophic equation
Philippe Gravejat
,
Didier Smets
Journal articles
hal-02980371v1
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Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation
Fabrice Bethuel
,
Philippe Gravejat
,
Didier Smets
Annales de l'Institut Fourier , 2014, 64 (1), pp.19-70
Journal articles
hal-00706748v1
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Quelques contributions à l'analyse mathématique de l'équation de Gross-Pitaevskii et du modèle de Bogoliubov-Dirac-Fock
Philippe Gravejat
Equations aux dérivées partielles [math.AP]. Université Paris Dauphine - Paris IX, 2011
Habilitation à diriger des recherches
tel-00706916v1
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On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves
Fabrice Bethuel
,
Philippe Gravejat
,
Jean-Claude Saut
Journal articles
hal-00285751v2
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Travelling waves for the Gross-Pitaevskii equation II
Fabrice Bethuel
,
Philippe Gravejat
,
Jean-Claude Saut
Journal articles
hal-00187672v2
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Ondes progressives pour l'équation de Gross-Pitaevskii
Fabrice Bethuel
,
Philippe Gravejat
,
Jean-Claude Saut
2008
Other publications
hal-00363313v1
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Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields
Philippe Gravejat
,
Christian Hainzl
,
Mathieu Lewin
,
Eric Séré
Journal articles
hal-00687272v3
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Stability in the energy space for chains of solitons of the Landau-Lifshitz equation
André de Laire
,
Philippe Gravejat
Journal articles
hal-00862835v3
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The Sine-Gordon regime of the Landau-Lifshitz equation with a strong easy-plane anisotropy
André de Laire
,
Philippe Gravejat
Journal articles
hal-01518483v1
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Asymptotics of the solitary waves for the generalised Kadomtsev-Petviashvili equations
Philippe Gravejat
Journal articles
hal-00363293v1
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Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms
Philippe Gravejat
,
Mathieu Lewin
,
Eric Séré
Journal articles
hal-00200945v1
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Smooth travelling-wave solutions to the inviscid surface quasi-geostrophic equation
Philippe Gravejat
,
Didier Smets
2017
Preprints, Working Papers, ...
hal-01525558v1
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Two Hartree-Fock models for the vacuum polarization
Philippe Gravejat
,
Christian Hainzl
,
Mathieu Lewin
,
Eric Séré
Days on PDEs 2012 , Jun 2012, Biarritz, France
Conference papers
hal-00736002v1
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Stabilité des solitons de l'équation de Landau-Lifshitz à anisotropie planaire
André de Laire
,
Philippe Gravejat
2015
Other publications
hal-01176702v1
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Existence and properties of travelling waves for the Gross-Pitaevskii equation
Fabrice Bethuel
,
Philippe Gravejat
,
Jean-Claude Saut
Book sections
hal-00363329v1
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Orbital stability of the black soliton to the Gross-Pitaevskii equation
Fabrice Bethuel
,
Philippe Gravejat
,
Jean-Claude Saut
,
Didier Smets
Journal articles
hal-00270348v2
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Ondes progressives pour les équations de Gross-Pitaevskii
Philippe Gravejat
Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2004. Français.
⟨NNT : ⟩
Theses
tel-00218296v1
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Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation
Philippe Gravejat
,
Fabrice Bethuel
,
Didier Smets
Annales Scientifiques de l'École Normale Supérieure , 2015, 6, pp.1327-1381
Journal articles
hal-02979984v1
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Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation
Fabrice Bethuel
,
Philippe Gravejat
,
Didier Smets
Annales Scientifiques de l'École Normale Supérieure , 2015, 48 (6), pp.1327-1381
Journal articles
hal-00767588v2
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Derivation of the magnetic Euler-Heisenberg energy
Philippe Gravejat
,
Mathieu Lewin
,
Eric Séré
Journal articles
hal-01270637v3
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Minimizing travelling waves for the Gross-Pitaevskii equation on $\mathbb{R} \times \mathbb{T}$
André de Laire
,
Philippe Gravejat
,
Didier Smets
2022
Preprints, Working Papers, ...
hal-03586112v1
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The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy
André de Laire
,
Philippe Gravejat
Journal articles
hal-01954762v1
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Renormalization and asymptotic expansion of Dirac's polarized vacuum
Philippe Gravejat
,
Mathieu Lewin
,
Eric Séré
Journal articles
hal-00472276v1
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On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation II
Fabrice Bethuel
,
Philippe Gravejat
,
Jean-Claude Saut
,
Didier Smets
Journal articles
hal-00371344v2
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