Recent advances in kinetic equations and applications

Liste des contributions

3. A kinetic model for the phase transition of the van der Waals fluid

Shigeru TAKATA (University of Kyoto, Japan)

24/11/2017 09:50

7. Improving coherence in simulations of rarefied flows in the upper atmosphere

Laurent Desvillettes (Université Paris Diderot)

24/11/2017 10:20

2. Stiff-response-induced instability of chemotactic bacteria

Shugo YASUDA (University of hyogo, Japan)

24/11/2017 11:15

9. Regularisation properties of the Boltzmann equation without cut-off

Isabelle Tristani

24/11/2017 11:45

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...

5. Quaternions in collective dynamics

Ariane TRESCASES

24/11/2017 13:45

6. Moments estimates for the discrete coagulation-fragmentation equations with diffusion

Maxime Breden

24/11/2017 14:15

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...

10. Instantaneous filling of the vacuum for Boltzmann gases in bounded domains

Marc Briant

24/11/2017 14:45

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...

1. Force acting on a heated/cooled particle in a rarefied flow with heat transfer

Satoshi TAGUCHI (University of Kyoto, Japan)

24/11/2017 15:40

8. Linear Boltzmann Equation and Fractional Diffusion

François Golse

24/11/2017 16:10

13. Opening

M. Shigemitsu TOMA (Embassy of Japan in France)