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001 978-3-319-14759-8
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007 cr nn 008mamaa
008 150205s2015 gw | s |||| 0|eng d
020 _a9783319147598
_9978-3-319-14759-8
024 7 _a10.1007/978-3-319-14759-8
_2doi
050 4 _aQA401-425
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.15
_223
100 1 _aButtà, Paolo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMathematical Models of Viscous Friction
_h[electronic resource] /
_cby Paolo Buttà, Guido Cavallaro, Carlo Marchioro.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXIV, 134 p. 5 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2135
505 0 _a1.  Introduction -- 2. Gas of point particles -- 3. Vlasov approximation -- 4. Motion of a body immersed in a Vlasov system -- 5. Motion of a body immersed in a Stokes fluid -- A Infinite Dynamics.
520 _aIn 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.
650 0 _aDifferential Equations.
650 0 _aDifferential equations, partial.
650 0 _aMechanics.
650 1 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
650 2 4 _aOrdinary Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12147
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aClassical Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/P21018
650 2 4 _aFluid- and Aerodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21026
700 1 _aCavallaro, Guido.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aMarchioro, Carlo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319147604
776 0 8 _iPrinted edition:
_z9783319147581
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2135
856 4 0 _uhttps://doi.org/10.1007/978-3-319-14759-8
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10517
_d10517