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Propagation of
chaos and effective equations in kinetic theory: a brief
survey
Mario Pulvirenti and Sergio Simonella
Vol. 4 (2016), No. 3-4, 255–274
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Abstract |
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We review some historical highlights leading to the modern perspective on the concept of chaos from the point of view of kinetic theory. We focus in particular on the role played by the propagation of chaos in the mathematical derivation of effective equations. |
Keywords
propagation of chaos, Boltzmann, Landau and Vlasov
equations
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Mathematical Subject Classification 2010
Primary: 82-03
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Milestones
Received: 28 July 2016
Accepted: 3 October 2016
Published: 17 December 2016
Communicated by Raffaele Esposito
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Authors |
| Mario Pulvirenti | |
| Dipartimento di Matematica Università di Roma La Sapienza Piazzale Aldo Moro 5 I-00185 Rome Italy |
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| Sergio Simonella | |
| Zentrum Mathematik Technische Universität München Boltzmannstraße 3 D-85748 Garching Germany |
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