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.
Keywords
- Vlasov Approximation
- Viscous Friction
- Heuristic Analysis
- Body Points
- Vlasov System
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Buttà, P., Cavallaro, G., Marchioro, C. (2015). Vlasov Approximation. In: Mathematical Models of Viscous Friction. Lecture Notes in Mathematics, vol 2135. Springer, Cham. https://doi.org/10.1007/978-3-319-14759-8_2
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