Abstract
In this chapter we study the problem of viscous friction in the framework of microscopic models of classical point particles. The system body/medium is modeled by the dynamics of a heavy particle (the body), subjected to a constant force and interacting with infinitely many identical particles (the medium). We discuss conditions on the body/medium interaction that are necessary for the body to reach a finite limiting velocity. Rigorous results are given in the case of quasi-one-dimensional and one-dimensional systems.
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Buttà, P., Cavallaro, G., Marchioro, C. (2015). Gas of Point Particles. In: Mathematical Models of Viscous Friction. Lecture Notes in Mathematics, vol 2135. Springer, Cham. https://doi.org/10.1007/978-3-319-14759-8_1
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DOI: https://doi.org/10.1007/978-3-319-14759-8_1
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