In this chapter the problem of viscous friction is considered when the medium is described by a gas of free particles in the mean field approximation.We give necessary conditions on the body/medium interaction to have a microscopic model of viscous friction and, conversely, we show that the runaway particle effect takes place in the case of bounded interaction.We conclude with a heuristic analysis of the case of singular interaction.

Vlasov approximation / Buttà, Paolo; Cavallaro, Guido; Marchioro, Carlo. - (2015), pp. 43-61. - LECTURE NOTES IN MATHEMATICS. [10.1007/978-3-319-14759-8_2].

Vlasov approximation

Buttà, Paolo;Cavallaro, Guido;Marchioro, Carlo
2015

Abstract

In this chapter the problem of viscous friction is considered when the medium is described by a gas of free particles in the mean field approximation.We give necessary conditions on the body/medium interaction to have a microscopic model of viscous friction and, conversely, we show that the runaway particle effect takes place in the case of bounded interaction.We conclude with a heuristic analysis of the case of singular interaction.
2015
Mathematical Models of Viscous Friction
978-3-319-14758-1
978-3-319-14759-8
mean field approximation; asymptotic behavior; steady states
02 Pubblicazione su volume::02a Capitolo o Articolo
Vlasov approximation / Buttà, Paolo; Cavallaro, Guido; Marchioro, Carlo. - (2015), pp. 43-61. - LECTURE NOTES IN MATHEMATICS. [10.1007/978-3-319-14759-8_2].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1182423
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