EAN: 9783319147581

MATHEMATICAL MODELS OF VISCOUS FRICTION - PAOLO...

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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