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In this monograph we present a review of a number of recent results
on the motion of a classical body immersed in an infinitely
extended medium and subjected 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 case, the
aim is to obtain microscopic models of viscous friction. In the
second, we seek to underline some non-trivial features of the
motion. Far from giving a general survey on the subject, which is
very rich and complex from both a phenomenological and theoretical
point of view, we focus on some fairly simple models that can be
studied rigorously, thus providing a first step towards a
mathematical description of viscous friction. In some cases, we
restrict ourselves to studying the problem at a heuristic level, or
we present the main ideas, discussing only some aspects of the
proof if it is prohibitively technical. This book is principally
addressed to researchers or PhD students who are interested in this
or related fields of mathematical physics.
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