LEADER 04427nam 22008055 450 001 9910132444803321 005 20250609111703.0 010 $a3-319-14759-5 024 7 $a10.1007/978-3-319-14759-8 035 $a(CKB)3710000000360303 035 $a(SSID)ssj0001452236 035 $a(PQKBManifestationID)11916897 035 $a(PQKBTitleCode)TC0001452236 035 $a(PQKBWorkID)11498458 035 $a(PQKB)10503248 035 $a(DE-He213)978-3-319-14759-8 035 $a(MiAaPQ)EBC6296436 035 $a(MiAaPQ)EBC5576396 035 $a(Au-PeEL)EBL5576396 035 $a(OCoLC)903215110 035 $a(PPN)184497310 035 $a(MiAaPQ)EBC1974095 035 $a(EXLCZ)993710000000360303 100 $a20150205d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Models of Viscous Friction /$fby Paolo Buttą, Guido Cavallaro, Carlo Marchioro 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XIV, 134 p. 5 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2135 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-319-14758-7 327 $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 ?uid -- A In?nite Dynamics. 330 $aIn this monograph we present a review of a number of recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force. We investigate this topic in the framework of mathematical physics by focusing mainly on the class of purely Hamiltonian systems, for which very few results are available. We discuss two cases: when the medium is a gas and when it is a fluid. In the first case, the aim is to obtain microscopic models of viscous friction. In the second, we seek to underline some non-trivial features of the motion. Far from giving a general survey on the subject, which is very rich and complex from both a phenomenological and theoretical point of view, we focus on some fairly simple models that can be studied rigorously, thus providing a first step towards a mathematical description of viscous friction. In some cases, we restrict ourselves to studying the problem at a heuristic level, or we present the main ideas, discussing only some aspects of the proof if it is prohibitively technical. This book is principally addressed to researchers or PhD students who are interested in this or related fields of mathematical physics. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2135 606 $aMathematical physics 606 $aDifferential equations 606 $aDifferential equations, Partial 606 $aMechanics 606 $aFluids 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 615 0$aMathematical physics. 615 0$aDifferential equations. 615 0$aDifferential equations, Partial. 615 0$aMechanics. 615 0$aFluids. 615 14$aMathematical Physics. 615 24$aOrdinary Differential Equations. 615 24$aPartial Differential Equations. 615 24$aClassical Mechanics. 615 24$aFluid- and Aerodynamics. 676 $a532.0533 700 $aButtą$b Paolo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0718155 702 $aCavallaro$b Guido$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMarchioro$b Carlo$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910132444803321 996 $aMathematical Models of Viscous Friction$92283976 997 $aUNINA