André De Laire

Maître de conférences-HDR CNU : SECTION 26 - MATHEMATIQUES APPLIQUEES ET APPLICATIONS DES MATHEMATIQUES

UMR 8524 - LABORATOIRE PAUL PAINLEVE

Publications

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Exotic traveling waves for a quasilinear Schrödinger equation with nonzero background. 2024. <a target=\"_blank\" href=\"https://hal.science/hal-04287188v2\">⟨hal-04287188v2⟩</a>", "title_s":["Exotic traveling waves for a quasilinear Schrödinger equation with nonzero background"], "authFullName_s":["André de Laire","Erwan Le Quiniou"], "halId_s":"hal-04287188", "docType_s":"UNDEFINED", "producedDateY_i":2024 },{ "citationRef_s":"Journal of Nonlinear Science, 2024, 34 (1), <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00332-023-10001-7\">⟨10.1007/s00332-023-10001-7⟩</a>", "citationFull_s":"André de Laire, Guillaume Dujardin, Salvador López-Martínez. Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation. Journal of Nonlinear Science, 2024, 34 (1), <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00332-023-10001-7\">⟨10.1007/s00332-023-10001-7⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-04058467v2\">⟨hal-04058467v2⟩</a>", "title_s":["Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation"], "authFullName_s":["André de Laire","Guillaume Dujardin","Salvador López-Martínez"], "halId_s":"hal-04058467", "docType_s":"ART", "producedDateY_i":2024 },{ "citationRef_s":"Tunisian Journal of Mathematics, In press, 6 (1), pp.157-188. <a target=\"_blank\" href=\"https://dx.doi.org/10.2140/tunis.2024.6.157\">⟨10.2140/tunis.2024.6.157⟩</a>", "citationFull_s":"André de Laire, Philippe Gravejat, Didier Smets. Construction of minimizing travelling waves for the Gross-Pitaevskii equation on $\\mathbb{R} \\times \\mathbb{T}$. Tunisian Journal of Mathematics, In press, 6 (1), pp.157-188. <a target=\"_blank\" href=\"https://dx.doi.org/10.2140/tunis.2024.6.157\">⟨10.2140/tunis.2024.6.157⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-04160067v1\">⟨hal-04160067⟩</a>", "title_s":["Construction of minimizing travelling waves for the Gross-Pitaevskii equation on $\\mathbb{R} \\times \\mathbb{T}$"], "authFullName_s":["André de Laire","Philippe Gravejat","Didier Smets"], "halId_s":"hal-04160067", "docType_s":"ART", "producedDateY_i":2024 },{ "citationRef_s":"Annales de la Faculté des Sciences de Toulouse. Mathématiques., In press", "citationFull_s":"André de Laire, Philippe Gravejat, Didier Smets. Minimizing travelling waves for the Gross-Pitaevskii equation on $\\mathbb{R} \\times \\mathbb{T}$. Annales de la Faculté des Sciences de Toulouse. Mathématiques., In press. <a target=\"_blank\" href=\"https://hal.science/hal-03586112v1\">⟨hal-03586112⟩</a>", "title_s":["Minimizing travelling waves for the Gross-Pitaevskii equation on $\\mathbb{R} \\times \\mathbb{T}$"], "authFullName_s":["André de Laire","Philippe Gravejat","Didier Smets"], "halId_s":"hal-03586112", "docType_s":"ART", "producedDateY_i":2024 },{ "citationRef_s":"SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2022, 79 (2), pp.253-295. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s40324-021-00254-1\">⟨10.1007/s40324-021-00254-1⟩</a>", "citationFull_s":"André de Laire. Recent results for the Landau-Lifshitz equation. SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2022, 79 (2), pp.253-295. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s40324-021-00254-1\">⟨10.1007/s40324-021-00254-1⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03209958v2\">⟨hal-03209958v2⟩</a>", "title_s":["Recent results for the Landau-Lifshitz equation"], "authFullName_s":["André de Laire"], "halId_s":"hal-03209958", "docType_s":"ART", "producedDateY_i":2022 },{ "citationRef_s":"Communications in Partial Differential Equations, 2022, 47 (9), pp.1732-1794. <a target=\"_blank\" href=\"https://dx.doi.org/10.1080/03605302.2022.2070853\">⟨10.1080/03605302.2022.2070853⟩</a>", "citationFull_s":"André de Laire, Salvador López-Martínez. Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation. Communications in Partial Differential Equations, 2022, 47 (9), pp.1732-1794. <a target=\"_blank\" href=\"https://dx.doi.org/10.1080/03605302.2022.2070853\">⟨10.1080/03605302.2022.2070853⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03422447v2\">⟨hal-03422447v2⟩</a>", "title_s":["Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation"], "authFullName_s":["André de Laire","Salvador López-Martínez"], "halId_s":"hal-03422447", "docType_s":"ART", "producedDateY_i":2022 },{ "citationRef_s":"Revista Matemática Iberoamericana, 2021, 37 (1), pp.95-128. <a target=\"_blank\" href=\"https://dx.doi.org/10.4171/rmi/1202\">⟨10.4171/rmi/1202⟩</a>", "citationFull_s":"André de Laire, Philippe Gravejat. The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy. Revista Matemática Iberoamericana, 2021, 37 (1), pp.95-128. <a target=\"_blank\" href=\"https://dx.doi.org/10.4171/rmi/1202\">⟨10.4171/rmi/1202⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01954762v1\">⟨hal-01954762⟩</a>", "title_s":["The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy"], "authFullName_s":["André de Laire","Philippe Gravejat"], "halId_s":"hal-01954762", "docType_s":"ART", "producedDateY_i":2021 },{ "citationRef_s":"Analysis of PDEs [math.AP]. Université de Lille, 2020", "citationFull_s":"André de Laire. The Landau-Lifshitz equation and related models. Analysis of PDEs [math.AP]. Université de Lille, 2020. <a target=\"_blank\" href=\"https://hal.science/tel-02985356v1\">⟨tel-02985356⟩</a>", "title_s":["The Landau-Lifshitz equation and related models"], "authFullName_s":["André de Laire"], "halId_s":"tel-02985356", "docType_s":"HDR", "producedDateY_i":2020 },{ "citationRef_s":"Journal of Evolution Equations, 2020, <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00028-020-00589-8\">⟨10.1007/s00028-020-00589-8⟩</a>", "citationFull_s":"Susana Gutiérrez, André de Laire. Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation. Journal of Evolution Equations, 2020, <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00028-020-00589-8\">⟨10.1007/s00028-020-00589-8⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02480999v2\">⟨hal-02480999v2⟩</a>", "title_s":["Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation"], "authFullName_s":["Susana Gutiérrez","André de Laire"], "halId_s":"hal-02480999", "docType_s":"ART", "producedDateY_i":2020 },{ "citationRef_s":"Discrete and Continuous Dynamical Systems - Series A, 2020, 40 (1), pp.635-682. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/dcds.2020026\">⟨10.3934/dcds.2020026⟩</a>", "citationFull_s":"André de Laire, Pierre Mennuni. Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity. Discrete and Continuous Dynamical Systems - Series A, 2020, 40 (1), pp.635-682. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/dcds.2020026\">⟨10.3934/dcds.2020026⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01962779v3\">⟨hal-01962779v3⟩</a>", "title_s":["Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity"], "authFullName_s":["André de Laire","Pierre Mennuni"], "halId_s":"hal-01962779", "docType_s":"ART", "producedDateY_i":2020 },{ "citationRef_s":"Nonlinearity, 2019, 32 (7), pp.2522-2563. <a target=\"_blank\" href=\"https://dx.doi.org/10.1088/1361-6544/ab1296\">⟨10.1088/1361-6544/ab1296⟩</a>", "citationFull_s":"Susana Gutiérrez, André de Laire. The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions. Nonlinearity, 2019, 32 (7), pp.2522-2563. <a target=\"_blank\" href=\"https://dx.doi.org/10.1088/1361-6544/ab1296\">⟨10.1088/1361-6544/ab1296⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01948679v2\">⟨hal-01948679v2⟩</a>", "title_s":["The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions"], "authFullName_s":["Susana Gutiérrez","André de Laire"], "halId_s":"hal-01948679", "docType_s":"ART", "producedDateY_i":2019 },{ "citationRef_s":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018, 35 (7), pp.1885-1945. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.anihpc.2018.03.005\">⟨10.1016/j.anihpc.2018.03.005⟩</a>", "citationFull_s":"André de Laire, Philippe Gravejat. The Sine-Gordon regime of the Landau-Lifshitz equation with a strong easy-plane anisotropy. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018, 35 (7), pp.1885-1945. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.anihpc.2018.03.005\">⟨10.1016/j.anihpc.2018.03.005⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01518483v1\">⟨hal-01518483⟩</a>", "title_s":["The Sine-Gordon regime of the Landau-Lifshitz equation with a strong easy-plane anisotropy"], "authFullName_s":["André de Laire","Philippe Gravejat"], "halId_s":"hal-01518483", "docType_s":"ART", "producedDateY_i":2018 },{ "citationRef_s":"Nonlinearity, 2015, 28 (5), pp.1307-1350", "citationFull_s":"Susana Gutiérrez, André de Laire. Self-similar solutions of the one-dimensional Landau–Lifshitz–Gilbert equation. Nonlinearity, 2015, 28 (5), pp.1307-1350. <a target=\"_blank\" href=\"https://hal.science/hal-01951336v1\">⟨hal-01951336⟩</a>", "title_s":["Self-similar solutions of the one-dimensional Landau–Lifshitz–Gilbert equation"], "authFullName_s":["Susana Gutiérrez","André de Laire"], "halId_s":"hal-01951336", "docType_s":"ART", "producedDateY_i":2015 },{ "citationRef_s":"Journal of Differential Equations, 2015, 258 (1), pp.1-80. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.jde.2014.09.003\">⟨10.1016/j.jde.2014.09.003⟩</a>", "citationFull_s":"André de Laire, Philippe Gravejat. Stability in the energy space for chains of solitons of the Landau-Lifshitz equation. Journal of Differential Equations, 2015, 258 (1), pp.1-80. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.jde.2014.09.003\">⟨10.1016/j.jde.2014.09.003⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-00862835v3\">⟨hal-00862835v3⟩</a>", "title_s":["Stability in the energy space for chains of solitons of the Landau-Lifshitz equation"], "authFullName_s":["André de Laire","Philippe Gravejat"], "halId_s":"hal-00862835", "docType_s":"ART", "producedDateY_i":2015 },{ "citationRef_s":"2015", "citationFull_s":"André de Laire, Philippe Gravejat. Stabilité des solitons de l'équation de Landau-Lifshitz à anisotropie planaire. 2015. <a target=\"_blank\" href=\"https://hal.science/hal-01176702v1\">⟨hal-01176702⟩</a>", "title_s":["Stabilité des solitons de l'équation de Landau-Lifshitz à anisotropie planaire"], "authFullName_s":["André de Laire","Philippe Gravejat"], "halId_s":"hal-01176702", "docType_s":"OTHER", "producedDateY_i":2015 },{ "citationRef_s":"SIAM Journal on Mathematical Analysis, 2014, 46 (1), pp.96-132. <a target=\"_blank\" href=\"https://dx.doi.org/10.1137/130909081\">⟨10.1137/130909081⟩</a>", "citationFull_s":"André de Laire. Minimal Energy for the Traveling Waves of the Landau--Lifshitz Equation. SIAM Journal on Mathematical Analysis, 2014, 46 (1), pp.96-132. <a target=\"_blank\" href=\"https://dx.doi.org/10.1137/130909081\">⟨10.1137/130909081⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01951344v1\">⟨hal-01951344⟩</a>", "title_s":["Minimal Energy for the Traveling Waves of the Landau--Lifshitz Equation"], "authFullName_s":["André de Laire"], "halId_s":"hal-01951344", "docType_s":"ART", "producedDateY_i":2014 },{ "citationRef_s":"Nonlinearity, 2013, 26 (5), pp.1473-1499. <a target=\"_blank\" href=\"https://dx.doi.org/10.1088/0951-7715/26/5/1473\">⟨10.1088/0951-7715/26/5/1473⟩</a>", "citationFull_s":"Patricio Felmer, André de Laire, Salome Martinez, Kazunaga Tanaka. High energy rotation type solutions of the forced pendulum equation. Nonlinearity, 2013, 26 (5), pp.1473-1499. <a target=\"_blank\" href=\"https://dx.doi.org/10.1088/0951-7715/26/5/1473\">⟨10.1088/0951-7715/26/5/1473⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01951341v1\">⟨hal-01951341⟩</a>", "title_s":["High energy rotation type solutions of the forced pendulum equation"], "authFullName_s":["Patricio Felmer","André de Laire","Salome Martinez","Kazunaga Tanaka"], "halId_s":"hal-01951341", "docType_s":"ART", "producedDateY_i":2013 },{ "citationRef_s":"Equations aux dérivées partielles [math.AP]. Université Pierre et Marie Curie - Paris VI, 2011. Français. <a target=\"_blank\" href=\"https://www.theses.fr/\">⟨NNT : ⟩</a>", "citationFull_s":"André de Laire. 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. <a target=\"_blank\" href=\"https://www.theses.fr/\">⟨NNT : ⟩</a>. <a target=\"_blank\" href=\"https://theses.hal.science/tel-00658356v2\">⟨tel-00658356v2⟩</a>", "title_s":["Quelques problèmes liés à la dynamique des équations de Gross-Pitaevskii et de Landau-Lifshitz","Some problems related to the dynamics of the Gross-Pitaevskii and of the Landau-Lifshitz equation"], "authFullName_s":["André de Laire"], "halId_s":"tel-00658356", "docType_s":"THESE", "producedDateY_i":2011 },{ "citationRef_s":"Communications in Partial Differential Equations, 2010, 35 (11), pp.2021-2058. <a target=\"_blank\" href=\"https://dx.doi.org/10.1080/03605302.2010.497200\">⟨10.1080/03605302.2010.497200⟩</a>", "citationFull_s":"André de Laire. Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity. Communications in Partial Differential Equations, 2010, 35 (11), pp.2021-2058. <a target=\"_blank\" href=\"https://dx.doi.org/10.1080/03605302.2010.497200\">⟨10.1080/03605302.2010.497200⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-00593629v1\">⟨hal-00593629⟩</a>", "title_s":["Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity"], "authFullName_s":["André de Laire"], "halId_s":"hal-00593629", "docType_s":"ART", "producedDateY_i":2010 },{ "citationRef_s":"Comptes Rendus. Mathématique, 2009, 347 (7-8), pp.375-380. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.crma.2009.02.006\">⟨10.1016/j.crma.2009.02.006⟩</a>", "citationFull_s":"André de Laire. Non-existence for travelling waves with small energy for the Gross–Pitaevskii equation in dimension $N\\geq 3$. Comptes Rendus. Mathématique, 2009, 347 (7-8), pp.375-380. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.crma.2009.02.006\">⟨10.1016/j.crma.2009.02.006⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01951345v1\">⟨hal-01951345⟩</a>", "title_s":["Non-existence for travelling waves with small energy for the Gross–Pitaevskii equation in dimension $N\\geq 3$"], "authFullName_s":["André de Laire"], "halId_s":"hal-01951345", "docType_s":"ART", "producedDateY_i":2009 },{ "citationRef_s":"Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2009, 347 (7-8), pp.375-380", "citationFull_s":"André de Laire. Nonexistence of traveling waves for a nonlocal Gross-Pitaevskii equation. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2009, 347 (7-8), pp.375-380. <a target=\"_blank\" href=\"https://hal.science/hal-00593628v1\">⟨hal-00593628⟩</a>", "title_s":["Nonexistence of traveling waves for a nonlocal Gross-Pitaevskii equation"], "authFullName_s":["André de Laire"], "halId_s":"hal-00593628", "docType_s":"ART", "producedDateY_i":2009 }] } }

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André De Laire

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