Recent advances in kinetic equations and applications
Friday, 24 November 2017 
09:40
Monday, 20 November 2017
Tuesday, 21 November 2017
Wednesday, 22 November 2017
Thursday, 23 November 2017
Friday, 24 November 2017
09:40
Opening: Mr Shigemitsu TOMA (Embassy of Japan in France)
Opening: Mr Shigemitsu TOMA (Embassy of Japan in France)
09:40  09:50
Room: A709
09:50
A kinetic model for the phase transition of the van der Waals fluid

Shigeru TAKATA
(University of Kyoto, Japan)
A kinetic model for the phase transition of the van der Waals fluid
Shigeru TAKATA
(University of Kyoto, Japan)
09:50  10:20
Room: A709
10:20
Improving coherence in simulations of rarefied flows in the upper atmosphere

Laurent Desvillettes
(Université Paris Diderot)
Improving coherence in simulations of rarefied flows in the upper atmosphere
Laurent Desvillettes
(Université Paris Diderot)
10:20  10:50
Room: A709
10:50
Coffee break
Coffee break
10:50  11:15
Room: A709
11:15
Stiffresponseinduced instability of chemotactic bacteria

Shugo YASUDA
(University of hyogo, Japan)
Stiffresponseinduced instability of chemotactic bacteria
Shugo YASUDA
(University of hyogo, Japan)
11:15  11:45
Room: A709
11:45
Regularisation properties of the Boltzmann equation without cutoff

Isabelle Tristani
Regularisation properties of the Boltzmann equation without cutoff
Isabelle Tristani
11:45  12:15
Room: A709
In this talk, we will study the regularisation properties of the Boltzmann equation without cutoff (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 FokkerPlanck 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.
12:15
Lunch
Lunch
12:15  13:45
Room: Espace 7
13:45
Quaternions in collective dynamics

Ariane TRESCASES
Quaternions in collective dynamics
Ariane TRESCASES
13:45  14:15
Room: A709
14:15
Moments estimates for the discrete coagulationfragmentation equations with diffusion

Maxime Breden
Moments estimates for the discrete coagulationfragmentation equations with diffusion
Maxime Breden
14:15  14:45
Room: A709
Coagulationfragmentation 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 reactiondiffusion 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.
14:45
Instantaneous filling of the vacuum for Boltzmann gases in bounded domains

Marc Briant
Instantaneous filling of the vacuum for Boltzmann gases in bounded domains
Marc Briant
14:45  15:15
Room: A709
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.
15:15
Coffee break
Coffee break
15:15  15:40
Room: A709
15:40
Force acting on a heated/cooled particle in a rarefied flow with heat transfer

Satoshi TAGUCHI
(University of Kyoto, Japan)
Force acting on a heated/cooled particle in a rarefied flow with heat transfer
Satoshi TAGUCHI
(University of Kyoto, Japan)
15:40  16:10
Room: A709
16:10
Linear Boltzmann Equation and Fractional Diffusion

François Golse
Linear Boltzmann Equation and Fractional Diffusion
François Golse
16:10  16:40
Room: A709