On the distribution of free path lengths for the periodic Lorentz gas II
François Golse, Bernt Wennberg (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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François Golse, Bernt Wennberg (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Mario Pulvirenti (1999)
Journées équations aux dérivées partielles
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In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.
Yakov P. Terletsky (1964)
Annales de l'I.H.P. Physique théorique
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Dolan, P., Zenios, A.C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Pablo A. Ferrari, Patricia Gonçalves, James B. Martin (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We consider the one-dimensional asymmetric simple exclusion process (ASEP) in which particles jump to the right at rate ∈(1/2, 1] and to the left at rate 1−, interacting by exclusion. In the initial state there is a finite region such that to the left of this region all sites are occupied and to the right of it all sites are empty. Under this initial state, the hydrodynamical limit of the process converges to the rarefaction fan of the associated Burgers equation. In particular suppose...
Mihai Bostan (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The topic of this paper is the numerical analysis of time periodic solution for electro-magnetic phenomena. The Limit Absorption Method (LAM) which forms the basis of our study is presented. Theoretical results have been proved in the linear finite dimensional case. This method is applied to scattering problems and transport of charged particles.