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hal-00334268v2
Journal articles
On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation I International Mathematics Research Notices, Oxford University Press (OUP), 2009, 2009 (14), pp.2700-2748. ⟨10.1093/imrn/rnp031⟩ |
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tel-00218296v1
Theses
Ondes progressives pour les équations de Gross-Pitaevskii Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2004. Français |
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hal-00593629v1
Journal articles
Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity Communications in Partial Differential Equations, Taylor & Francis, 2010, 35 (11), pp.2021-2058. ⟨10.1080/03605302.2010.497200⟩ |
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hal-00706748v1
Journal articles
Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2014, 64 (1), pp.19-70 |
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hal-00767588v2
Journal articles
Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation Annales Scientifiques de l'École Normale Supérieure, Elsevier Masson, 2015, 48 (6), pp.1327-1381 |
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hal-00363329v1
Book sections
Existence and properties of travelling waves for the Gross-Pitaevskii equation Alberto Farina and Jean-Claude Saut. Stationary and time dependent Gross-Pitaevskii equations, 473, American Mathematical Society, pp.55-104, 2008, Contemporary Mathematics, 978-0-8218-4357-4. ⟨10.1090/conm/473⟩ |
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hal-00593628v1
Journal articles
Nonexistence of traveling waves for a nonlocal Gross-Pitaevskii equation Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2009, 347 (7-8), pp.375-380 ![]() |
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hal-01002094v1
Journal articles
Asymptotic stability of the black soliton for the Gross-Pitaevskii equation Proceedings of the London Mathematical Society, London Mathematical Society, 2015, 111 (2), pp.305-353. ⟨10.1112/plms/pdv025⟩ |
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hal-00285751v2
Journal articles
On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves Dynamics of Partial Differential Equations, International Press, 2008, 5 (3), pp.241-280. ⟨10.4310/DPDE.2008.v5.n3.a3⟩ |
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hal-00371344v2
Journal articles
On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation II Communications in Partial Differential Equations, Taylor & Francis, 2010, 35 (1), pp.113-164. ⟨10.1080/03605300903222542⟩ |
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hal-00270348v2
Journal articles
Orbital stability of the black soliton to the Gross-Pitaevskii equation Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2008, 57 (6), pp.2611-2642. ⟨10.1512/iumj.2008.57.3632⟩ |
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hal-00948066v1
Preprints, Working Papers, ...
Hydrodynamical form for the one-dimensional Gross-Pitaevskii equation 2014 |
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hal-01912316v1
Journal articles
Fundamental gaps of the Gross–Pitaevskii equation with repulsive interaction Asymptotic Analysis, IOS Press, 2018, 110 (1-2), pp.53 - 82. ⟨10.3233/ASY-181477⟩ |
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tel-00658356v2
Theses
Quelques problèmes liés à la dynamique des équations de Gross-Pitaevskii et de Landau-Lifshitz Equations aux dérivées partielles [math.AP]. Université Pierre et Marie Curie - Paris VI, 2011. Français |
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