Institut de Mathématiques de Toulouse

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1 événement


  • Analyse des singularités en EDP et Calcul des Variations

    Vendredi 7 septembre 10:00-12:00 - Luc Nguyen - Oxford

    Symmetry and multiple existence of critical points in 2D Landau-de Gennes Q-tensor theory

    Résumé : We study a Laudau-de Gennes model for nematic liquid crystals where both the energy functional and the boundary data are invariant under the orthogonal group. In three dimensional settings, it is conjectured that minimizers break the rotational symmetry. We show however that in two dimensional settings, this no longer holds when the boundary data have no topological obstruction : the minimizers are `unique and rotationally symmetric’. As an application, we obtain existence of (multiple) non-minimizing rotationally symmetric critical points. Joint work with Radu Ignat, Valeriy Slastikov and Arghir Zarnescu.

    Lieu : salle Pellos (207), bat. 1R2, IMT - salle Pellos (207), bat. 1R2, IMT

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