03198nam 22006615 450 99646648230331620200706062150.03-540-92847-210.1007/978-3-540-92847-8(CKB)1000000000718094(SSID)ssj0000318183(PQKBManifestationID)11283540(PQKBTitleCode)TC0000318183(PQKBWorkID)10308958(PQKB)10322723(DE-He213)978-3-540-92847-8(MiAaPQ)EBC3064148(PPN)134130707(EXLCZ)99100000000071809420100301d2009 u| 0engurnn|008mamaatxtccrHydrodynamic Limits of the Boltzmann Equation[electronic resource] /by Laure Saint-Raymond1st ed. 2009.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2009.1 online resource (XII, 194 p. 9 illus.) Lecture Notes in Mathematics,0075-8434 ;1971Bibliographic Level Mode of Issuance: Monograph3-540-92846-4 Includes bibliographical references (p. 181-186) and index.The Boltzmann equation and its formal hydrodynamic limits -- Mathematical tools for the derivation of hydrodynamic limits -- The incompressible Navier-Stokes limit -- The incompressible Euler limit -- The compressible Euler limit.The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.Lecture Notes in Mathematics,0075-8434 ;1971Continuum physicsPartial differential equationsStatistics Classical and Continuum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P2100XPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/S17020Continuum physics.Partial differential equations.Statistics .Classical and Continuum Physics.Partial Differential Equations.Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.532.5MAT 352fstubPHY 058fstubPHY 220fstubSI 850rvkSaint-Raymond Laureauthttp://id.loc.gov/vocabulary/relators/aut472383BOOK996466482303316Hydrodynamic limits of the Boltzmann equation230300UNISA