Particle models for kinetic equations: an introduction and some rigorous results

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Abstract

We shall give an introduction to the validity problem for kinetic equations and we shall review some convergence theorems concerning the derivation from a microscopic dynamics of systems of partial differential equations describing, at the mesoscopic scale, collections of particles interacting through various (collisions and mean field) type of interaction.
Lingua originaleEnglish
Stato di pubblicazionePublished - 2011

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Systems of Partial Differential Equations
Kinetic Equation
Convergence Theorem
Mean Field
Collision
Interaction
Model
Review

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abstract = "We shall give an introduction to the validity problem for kinetic equations and we shall review some convergence theorems concerning the derivation from a microscopic dynamics of systems of partial differential equations describing, at the mesoscopic scale, collections of particles interacting through various (collisions and mean field) type of interaction.",
author = "Valeria Ricci",
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