André De Laire

maître de conférences - Partial Differential Equations
CNU : SECTION 26 - MATHEMATIQUES APPLIQUEES ET APPLICATIONS DES MATHEMATIQUES
    +33 (0)3 20 43 45 01. Bureau 306, bât M2
Laboratoire Paul Painlevé, Université de Lille, Cité Scientifique, 59655 Villeneuve d'Ascq Cedex, France
andre_de_laire.jpeg

André De Laire

maître de conférences - Partial Differential Equations

Publications

Article dans des revues

  • André de Laire, Philippe Gravejat. The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy. Revista Matemática Iberoamericana, European Mathematical Society, 2021, 37 (1), pp.95-128. ⟨10.4171/rmi/1202⟩. ⟨hal-01954762⟩
  • Susana Gutiérrez, André de Laire. Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation. Journal of Evolution Equations, Springer Verlag, 2020, ⟨10.1007/s00028-020-00589-8⟩. ⟨hal-02480999v2⟩
  • 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, American Institute of Mathematical Sciences, 2020, 40 (1), pp.635-682. ⟨10.3934/dcds.2020026⟩. ⟨hal-01962779v3⟩
  • Susana Gutiérrez, André de Laire. The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions. Nonlinearity, IOP Publishing, 2019, 32 (7), pp.2522-2563. ⟨10.1088/1361-6544/ab1296⟩. ⟨hal-01948679v2⟩
  • Susana Gutiérrez, André de Laire. Self-similar solutions of the one-dimensional Landau–Lifshitz–Gilbert equation. Nonlinearity, IOP Publishing, 2015, 28 (5), pp.1307-1350. ⟨hal-01951336⟩
  • André de Laire, Philippe Gravejat. Stability in the energy space for chains of solitons of the Landau-Lifshitz equation. Journal of Differential Equations, Elsevier, 2015, 258 (1), pp.1-80. ⟨10.1016/j.jde.2014.09.003⟩. ⟨hal-00862835v3⟩
  • André de Laire. Minimal Energy for the Traveling Waves of the Landau--Lifshitz Equation. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2014, 46 (1), pp.96-132. ⟨hal-01951344⟩
  • Patricio Felmer, André de Laire, Salome Martinez, Kazunaga Tanaka. High energy rotation type solutions of the forced pendulum equation. Nonlinearity, IOP Publishing, 2013, 26 (5), pp.1473-1499. ⟨hal-01951341⟩
  • André de Laire. 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⟩. ⟨hal-00593629⟩
  • André de Laire. Non-existence for travelling waves with small energy for the Gross–Pitaevskii equation in dimension $N\geq 3$. Comptes Rendus Mathématique, Elsevier Masson, 2009, 347 (7-8), pp.375-380. ⟨10.1016/j.crma.2009.02.006⟩. ⟨hal-01951345⟩
  • André de Laire. 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. ⟨hal-00593628⟩

Autre publication

  • André de Laire, Philippe Gravejat. Stabilité des solitons de l'équation de Landau-Lifshitz à anisotropie planaire. 2015. ⟨hal-01176702⟩

Thèse

  • 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. ⟨tel-00658356v2⟩

HDR

  • André de Laire. The Landau-Lifshitz equation and related models. Analysis of PDEs [math.AP]. Université de Lille, 2020. ⟨tel-02985356⟩