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Séminaire Equations aux dérivées partielles

organisé par l'équipe Modélisation et contrôle

  • Jade Le Quentrec

    Theoretical and numerical study of the nonlinear Schrödinger equation with defects

    11 mars 2025 - 14:00Salle de conférences IRMA

    In this presentation, we present a study of the nonlinear Schrödinger equation involving a defect term, which materializes the presence of an impurity along a hypersurface.

    First, we will adapt the techniques already used in the absence of a defect term to study the local or global well-posedness of our problem, as well as explosions in finite time. This will include a functional framework that takes into account the
    singular term and a new viriel identity.

    We will then focus on the schemes allowing us to compute numerical solutions. Special attention will be paid to the discretization of the default in finite differences.

  • Giulia Sambataro

    TBA

    1 avril 2025 - 14:00A confirmer

  • Mathias Dus

    TBA

    29 avril 2025 - 14:00A confirmer

  • Florian Salin

    TBA

    6 mai 2025 - 14:00A confirmer

  • Felix Kölher

    TBA

    13 mai 2025 - 14:00A confirmer

  • Marius Zeinhofer

    TBA

    20 mai 2025 - 14:00A confirmer

  • Ferdinand Thein

    TBA

    25 juin 2025 - 14:00Salle de conférences IRMA