COOKIE (COmputing & apprOximating KInetic Equations)

Europe/Paris
Petri-Turing (INRIA)

Petri-Turing

INRIA

Campus de Beaulieu, 263 Av. Général Leclerc, 35042 Rennes
Description

We are happy to organise the workshop Cookie.

We welcome all participants to the workshop, but registration is mandatory.

Location and time

The workshop will take place July 16th in the Pétri-Turing room at INRIA Rennes. 

List of Speakers

  • Martin Campos Pinto
  • Rémi Carles
  • Anaïs Crestetto
  • Erwan Faou
  • Hélène Hivert
  • Julien Mathiaud
  • Michel Mehrenberger
Inscription
Registration
    • 09:30 10:25
      TBA 55m
      Orateur: Martin Campos Pinto
    • 10:25 11:20
      TBA 55m
      Orateur: Erwan Faou (INRIA)
    • 11:20 12:15
      TBA 55m
      Orateur: Michel Mehrenberger (Marseille)
    • 12:15 13:10
      TBA 55m
      Orateur: Hélène HIVERT (Inria - Géosciences Rennes)
    • 13:10 15:00
      Déjeuner 1h 50m
    • 15:00 15:55
      Time splitting for nonlinear Schrödinger equations: Strichartz estimates and consequences 55m

      Strichartz estimates have allowed spectacular progress in the analytical
      study of nonlinear dispersive equations such as nonlinear Schrödinger
      equations. We show two consequences regarding error estimates for time
      splitting method: a global in time error estimate, obtained with Chunmei
      Su, and low regularity error estimates in the presence of an harmonic
      potential, using in addition Weyl-Hörmander pseudodifferential calculus.

      Orateur: Remi Carles
    • 15:55 16:50
      TBA 55m
      Orateur: Anais Crestetto (Nantes)
    • 16:50 17:45
      Generalised UGK and UGKWP Scheme in the Diffusive Limit 55m

      The unified gas kinetic scheme (UGKS) was initially designed to address
      multiscale challenges in rarefied gas dynamics and then extended to
      radiative transfert theory, as described by BGK like relaxation models.
      In this talk, we extend its application to linear kinetic models with
      non isotropic scattering collision operators, as well as Fokker-Planck
      models . These problems typically exhibit a fully diffusive nature in
      the optically thick limit (corresponding to a small Knudsen number). It
      still leads to an asymptotic preserving (AP) property not only in this
      diffusive regime but also in the free transport limit. A series of
      numerical experiments confirm the effectiveness of the approach.

      Orateur: Julien Mathiaud (Rennes)