02493nam 2200601Ia 450 991048327690332120200520144314.03-540-92847-210.1007/978-3-540-92847-8(CKB)1000000000718094(SSID)ssj0000318183(PQKBManifestationID)11283540(PQKBTitleCode)TC0000318183(PQKBWorkID)10308958(PQKB)10322723(DE-He213)978-3-540-92847-8(MiAaPQ)EBC3064148(PPN)134130707(EXLCZ)99100000000071809420090102d2009 uy 0engurnn|008mamaatxtccrHydrodynamic limits of the Boltzmann equation /Laure Saint-Raymond1st ed. 2009.Berlin Springerc20091 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 (Springer-Verlag) ;1971.Maxwell-Boltzmann distribution lawFluid dynamicsMathematicsMaxwell-Boltzmann distribution law.Fluid dynamicsMathematics.532.5MAT 352fstubPHY 058fstubPHY 220fstubSI 850rvkSaint-Raymond Laure472383MiAaPQMiAaPQMiAaPQBOOK9910483276903321Hydrodynamic limits of the Boltzmann equation230300UNINA