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Download Advances in kinetic theory and computing : selected papers by Perthame B. (ed.) PDF

By Perthame B. (ed.)

This paintings includes 36 brief papers on growth in quite a few topics in mathematical and theoretical physics, written for the complaints of a symposium in honor of the seventieth birthday of Professor F.Y. Wu, held on the Nankai Institute of arithmetic, October 7-11, 2001. the gathering of papers is aimed toward researchers, together with graduate scholars, with an interdisciplinary curiosity and provides a short creation to the various subject matters of present curiosity. those comprise effects on precisely solvable versions in statistical mechanics, integrable throughout the Yang-Baxter equations, quantum teams, fractional records, random matrices, index theorems at the lattice, and different similar subject matters I. Vlasov-Poisson in plasma physics -- II. Quantum mechanics and semiconductors -- III. Boltzmann equations and gasoline dynamics

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F E L X ' . P . B E R T R A N D . A. GHlZZC-2 1. P M M S / C N R S , Universite d'Orleans, Orleans, France 2. L P M I , Universite de Nancy-I, BP239 S4506 Vandoeuvre les Nancy, France Abstract: Eulerian Vlasov codes, using Splitting scheme for the resolution, are presented for the study o f electron collisionless plasma in electrostatic and electromagnetic regimes. Many concepts have been investigated as the problem o f fomentation in phase space, with the appearance o f fine micro structures, followed by their "cleaning" Moreover the mathematical topology o f the Vlasov equation, and phase space representation o f the distribution function are studied.

22) 2 Indeed, icL. problem (4-11) has no solution such that 0 forr £ (p, 1]. • / / i < i c / , , problem (4-il) has a unique solution such that Oforr £ (PM • Furthermore, i = icL dtp/dr{l) = 0. is the unique value of i such that the solution satisfies T h e surprising result is i n the case p > 1 : L e m m a 4 .

14| P. Degond, F. Poupaud and A. Yamnahakld Simulation particulate et analyse asymptotique de I'quation de Boltzmann pour la modlisation d'une diode Schottky, contract report, (English translation in preparation). (15] P. A. Raviart, An Asymptotic Analysis of the One-Dimensional Vlasov-Poisson System: the Child-Langmuir law, Asymptotic Analysis 4 (1991), pp. 187-214. [16] P. A. Raviart, On a penalization of the Child-Langmuir emission condition for the one-dimensional Vlasov-Poisson equation, Asymptotic Analysis 6 (1992), pp.

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