18 pagesInternational audienceIn this note, we propose a slightly different proof of Gallavotti's theorem ["Statistical Mechanics: A Short Treatise", Springer, 1999, pp. 48-55] on the derivation of the linear Boltzmann equation for the Lorentz gas with a Poisson distribution of obstacles in the Boltzmann-Grad limit
The Grad limit is considered and the Boltzmann equation is rigorously derived for the Lorentz mode
Abstract. The periodic Lorentz gas describes the dynamics of a point particle in a periodic array of...
International audienceWe study a system of charged, noninteracting classical particles moving in a P...
18 pagesInternational audienceIn this note, we propose a slightly different proof of Gallavotti's th...
International audienceWe prove that the Boltzmann-Grad limit of the Lorentz gas with periodic distri...
We consider the problem of deriving the linear Boltzmann equation from the Lorentz process with hard...
We consider the problem of deriving the linear Boltzmann equation from the Lorentz process with hard...
AbstractWe consider the problem of deriving the linear Boltzmann equation from the Lorentz process w...
Abstract. The two-dimensional, periodic Lorentz gas, is the dynamical sys-tem corresponding with the...
Consider the domain $Z_\epsilon=\{x\in\mathbb{R}^n ; {dist}(x,\epsilon\mathbb{Z}^n)> \epsilon^\gamma...
A fundamental aspect of kinetic theory concerns the conjecture - proposed by Grad (Grad, 1972) and d...
I will survey old and new results on the Boltzmann-Grad limit of the Lorentz gas. I will in particul...
. In this paper we consider a particle moving in a random distribution of obstacles. Each obstacle g...
62 pages. Course at the conference ''Topics in PDEs and applications 2008" held in Granada, April 7-...
43 pages with 3 figures; some typos corrected and references updated; final draft to appear in J. St...
The Grad limit is considered and the Boltzmann equation is rigorously derived for the Lorentz mode
Abstract. The periodic Lorentz gas describes the dynamics of a point particle in a periodic array of...
International audienceWe study a system of charged, noninteracting classical particles moving in a P...
18 pagesInternational audienceIn this note, we propose a slightly different proof of Gallavotti's th...
International audienceWe prove that the Boltzmann-Grad limit of the Lorentz gas with periodic distri...
We consider the problem of deriving the linear Boltzmann equation from the Lorentz process with hard...
We consider the problem of deriving the linear Boltzmann equation from the Lorentz process with hard...
AbstractWe consider the problem of deriving the linear Boltzmann equation from the Lorentz process w...
Abstract. The two-dimensional, periodic Lorentz gas, is the dynamical sys-tem corresponding with the...
Consider the domain $Z_\epsilon=\{x\in\mathbb{R}^n ; {dist}(x,\epsilon\mathbb{Z}^n)> \epsilon^\gamma...
A fundamental aspect of kinetic theory concerns the conjecture - proposed by Grad (Grad, 1972) and d...
I will survey old and new results on the Boltzmann-Grad limit of the Lorentz gas. I will in particul...
. In this paper we consider a particle moving in a random distribution of obstacles. Each obstacle g...
62 pages. Course at the conference ''Topics in PDEs and applications 2008" held in Granada, April 7-...
43 pages with 3 figures; some typos corrected and references updated; final draft to appear in J. St...
The Grad limit is considered and the Boltzmann equation is rigorously derived for the Lorentz mode
Abstract. The periodic Lorentz gas describes the dynamics of a point particle in a periodic array of...
International audienceWe study a system of charged, noninteracting classical particles moving in a P...