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Séminaire Equations aux dérivées partielles

organisé par l'équipe Modélisation et contrôle

  • Antoine Rousseau

    TBA

    7 mai 2024 - 14:00Salle de conférences IRMA

    TBA

  • Christian Klein

    Numerical study of dispersive equations appearing in the theory of water waves

    14 mai 2024 - 14:00Salle 301

    We present a numerical study of solutions to equations appearing in the theory of surface waves, concretely Boussinesq systems (integrable and non-integrable examples) and Serre-Green-Naghdi (SGN) equations. Solitary waves in 1D are constructed, and there stability is studied numerically. The time evolution of localised initial data is explored. Of special interest is the role of the non-cavitation condition. The appearence of dispersive shock waves, zones of rapidly modulated oscillations, in the vicinity of shocks of the corresponding dispersionless systems is studied. In the context of the SGN equations, these questions are also addressed in 2D.

    This is work in collaboration with V. Duchene, S. Gavrilyuk and J.-C. Saut.

  • François Vilar

    TBA

    21 mai 2024 - 14:00Salle de conférences IRMA