Bourbaki seminar on the orbital stability for the gravitational Vlasov-Poisson system

Here is the text (in french) of the Bourbaki seminar I gave in November 2011:

Orbital stability for the gravitational Vlasov-Poisson system (after Lemou-Méhats-Raphaël, Guo, Lin, Rein et al.)

Here is the introduction:

Final published version: “On Landau damping”

At last our joint paper with Cédric Villani has been published in Acta Mathematica (reference: volume 207, number 1, pages 29-201, september 2011). Many typos have been corrected in this final edited version.

PDE Conference, March 6-9, Cuba

Here is the webpage for the session on Partial Differential Equations which will be part of the 10th International Conference on Operations Research. It will take place in La Habana, Cuba, from 6-9 March 2012.

The goal of the session is to promote research collaborations between Cuba and other countries on recent developments on partial differential equations and related topics, with special interest on models in Biology and other areas of application.

Kac’s Program in Kinetic Theory (new preprint)

I have just uploaded on arXiv a joint work with Stéphane Mischler on “Kac’s Program in Kinetic Theory”. In this paper, we answer a set of questions raised by Mark Kac in his seminal paper Foundations of kinetic theory (Proc. Third Berkeley Symp. Math. Stat. & Prob., 1956) about the derivation of Boltzmann equations from many-particle jump processes.

UPDATE: We have just uploaded an announcement note, to appear shortly in the Comptes-rendus de l’Académie des Sciences de Paris.

Cercignani’s conjecture

Carlo Cercignani 1983 (Photo credit Kazuo Aoki)

Soon will happen a Conference in memory of Carlo Cercignani at IHP, Paris 9-11 february which I am co-organizing together with François Bolley, Laurent Desvillettes and Silvia Lorenzani. Moreover several works quoted for the Fields medal 2010 of Cédric Villani are directly related and somehow motivated by the so-called Cercignani’s conjecture in kinetic theory.

As a tribute to Carlo Cercignani, one of founder of the modern mathematical kinetic theory and a great scientist, here is a short presentation about Cercignani’s conjecture. More details (including references and latest results about the conjecture) can be found in this review paper.