Vol. 4, No. 3-4, 2016
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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
DOI: 10.2140/memocs.2016.4.255
Abstract

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
Mathematical Subject Classification 2010
Primary: 82-03
Milestones
Received: 28 July 2016
Accepted: 3 October 2016
Published: 17 December 2016

Communicated by Raffaele Esposito
Authors
Mario Pulvirenti
Dipartimento di Matematica
Università di Roma La Sapienza
Piazzale Aldo Moro 5
I-00185 Rome
Italy
Sergio Simonella
Zentrum Mathematik
Technische Universität München
Boltzmannstraße 3
D-85748 Garching
Germany