Recent advances in kinetic equations and applications

Europe/Paris
A709 (Université Paris Dauphine)

A709

Université Paris Dauphine

Place du Maréchal de Lattre de Tassigny, Paris
Participants
  • Amic Frouvelle
  • Andrea Bondesan
  • Ariane Trescases
  • Ayman Moussa
  • Berenice Grec
  • CLAUDE BARDOS
  • Daniela Tonon
  • David García Zelada
  • DIANE PEURICHARD
  • Emeric Bouin
  • Esther Daus
  • Francesco Salvarani
  • François Golse
  • Frédérique Charles
  • Guillaume Lévy
  • Haspot Boris
  • Helge Dietert
  • Isabelle Tristani
  • Jessica Guerand
  • Laurent Boudin
  • Laurent Desvillettes
  • Laurent Lafleche
  • Ludovic Cesbron
  • Luis Almeida
  • Marc Briant
  • Martin Campos Pinto
  • Mattia Bongini
  • Maxime Breden
  • Nastassia Pouradier Duteil
  • nejla nouaili
  • Ning Jiang
  • Olga Mula
  • Satoshi Taguchi
  • Shigeru Takata
  • Shugo Yasuda
  • Teddy Pichard
  • Théophile Dolmaire
  • Valeria Ricci
  • Vincent Giovangigli
    • 09:40 09:50
      Opening: Mr Shigemitsu TOMA (Embassy of Japan in France) 10m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
    • 09:50 10:20
      A kinetic model for the phase transition of the van der Waals fluid 30m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
      Speaker: Shigeru TAKATA (University of Kyoto, Japan)
    • 10:20 10:50
      Improving coherence in simulations of rarefied flows in the upper atmosphere 30m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
      Speaker: Laurent Desvillettes (Université Paris Diderot)
    • 10:50 11:15
      Coffee break 25m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
    • 11:15 11:45
      Stiff-response-induced instability of chemotactic bacteria 30m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
      Speaker: Shugo YASUDA (University of hyogo, Japan)
    • 11:45 12:15
      Regularisation properties of the Boltzmann equation without cut-off 30m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
      In this talk, we will study the regularisation properties of the Boltzmann equation without cut-off (in the hard potentials case) at the linearised level. The proof uses the hypoellipticity features of the equation and is reminiscent of what has already been done for the Fokker-Planck equation. We will then see that this type of property is a key point to develop a Cauchy theory for the nonlinear equation in Sobolev spaces with polynomial weights. This is a joint work with Frédéric Hérau and Daniela Tonon.
      Speaker: Isabelle Tristani
    • 12:15 13:45
      Lunch 1h 30m Espace 7

      Espace 7

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
    • 13:45 14:15
      Quaternions in collective dynamics 30m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
      Speaker: Ariane TRESCASES
    • 14:15 14:45
      Moments estimates for the discrete coagulation-fragmentation equations with diffusion 30m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
      Coagulation-fragmentation equations can be used to study a wide range of phenomena, ranging from blood coagulation and polymer formation to planet formation. The (discrete) model consists in an infinite system of reaction-diffusion equations, each equation describing the evolution of the concentration of clusters of a given size/mass. While the spatially homo- geneous case has been studied extensively, there are fewer mathematical results available when spatial inhomogeneity is taken into account. In this talk I will explain how the so called "duality lemma" can be used in this context, to get estimates on the moments of the solution, leading to regularity results. This is joint work with L. Desvillettes and K. Fellner. I will also show how these estimates can be used to study the gelation issue, and prove that strong enough fragmentation can ensure mass conservation even for superlinear coagulation coefficients.
      Speaker: Maxime Breden
    • 14:45 15:15
      Instantaneous filling of the vacuum for Boltzmann gases in bounded domains 30m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
      Let us think of a room divided into two compartments thanks to a sealed wall. One of the two compartments is empty and the other filled with a gas. What does happen when one removes the wall ? The mathematical answer to this question is that the gas will immediately spread into every single nook of the entire room. In this talk I will present how to prove this behaviour in convex bounded domains from the Boltzmann equation. More precisely, I will give an overview of the analytic and geometric methods leading to the existence of a uniform exponential lower bound for solutions to the Boltzmann equation.
      Speaker: Marc Briant
    • 15:15 15:40
      Coffee break 25m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
    • 15:40 16:10
      Force acting on a heated/cooled particle in a rarefied flow with heat transfer 30m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
      Speaker: Satoshi TAGUCHI (University of Kyoto, Japan)
    • 16:10 16:40
      Linear Boltzmann Equation and Fractional Diffusion 30m A709

      A709

      Université Paris Dauphine

      Place du Maréchal de Lattre de Tassigny, Paris
      Speaker: François Golse
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