Titlebook: Mathematical Models of Viscous Friction; Paolo Buttà,Guido Cavallaro,Carlo Marchioro Book 2015 Springer International Publishing Switzerla

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Book 2015ubjected to the action of an external force. We investigate this topic in the framework of mathematical physics by focusing mainly on the class of purely Hamiltonian systems, for which very few results are available. We discuss two cases: when the medium is a gas and when it is a fluid. In the first

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Gas of Point Particles,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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Motion of a Body Immersed in a Stokes Fluid,time of the solution. We show that the velocity of the sphere slows down in time with an algebraic law, due to the memory effect of the surrounding fluid. We discuss the case of a sphere moving on a straight line, or executing a rotary motion around a fixed axis.

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Lecture Notes in Mathematicshttp://image.papertrans.cn/m/image/626463.jpg

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Mathematical Models of Viscous Friction978-3-319-14759-8Series ISSN 0075-8434 Series E-ISSN 1617-9692