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27 avril 2018: 2 événements

  • Séminaires doctorant

    Vendredi 27 avril 13:30-14:30 - Edoardo Bocchi - Institut de Mathématiques de Bordeaux

    Séminaire doctorant : Floating structures in shallow water : local well-posedness in the axisymmetric case.

    Résumé :
    The floating structure problem describes the interaction between surface water waves and a floating body, generally a boat or a wave energy converter. As shown by Lannes the equations for the fluid motion can be reduced to a set of two evolution equations on the surface elevation and the horizontal discharge. The presence of the object is accounted for by a constraint on the discharge under the object ; the pressure exerted by the fluid on this object is then the Lagrange multiplier associated with this constraint. Our goal is to prove the well-posedness of this fluid-structure interaction problem in the shallow water approximation under the assumption that the flow is axisymmetric without swirl. We write the fluid equations as a quasilinear hyperbolic mixed initial boundary value problem and the solid equation as a second order ODE coupled to the fluid equations. Finally we prove the local in time well-posedness for this coupled problem, provided some compatibility conditions on the initial data are satisfied.
    References :
    [1] E. BOCCHI, Floating structures in shallow water : local well-posedness in the axisymmetric case, arXiv preprint (2018)

    Lieu : 324-2B

    En savoir plus : Séminaires doctorant
  • Groupe de Travail Information Quantique

    Vendredi 27 avril 15:00-16:30 - Uwe Franz - LMB

    Groupe de Travail Information Quantique

    Résumé : once more LOCC and Nielson’s majorisation theorem

    Lieu : 324B-2, LMB - Batiment Métrologie, Campus Bouloie, Besançon

    En savoir plus : Groupe de Travail Information Quantique