LEADER 05361nam 22007694a 450 001 9910971970903321 005 20251116231609.0 010 $a9786611947927 010 $a9781281947925 010 $a128194792X 010 $a9789812796905 010 $a9812796908 035 $a(CKB)1000000000537921 035 $a(EBL)1679508 035 $a(OCoLC)879023694 035 $a(SSID)ssj0000190847 035 $a(PQKBManifestationID)11177787 035 $a(PQKBTitleCode)TC0000190847 035 $a(PQKBWorkID)10183579 035 $a(PQKB)10070384 035 $a(MiAaPQ)EBC1679508 035 $a(WSP)00005155 035 $a(Au-PeEL)EBL1679508 035 $a(CaPaEBR)ebr10255755 035 $a(CaONFJC)MIL194792 035 $a(PPN)164381899 035 $a(Perlego)849265 035 $a(EXLCZ)991000000000537921 100 $a20021029d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aLecture notes on the discretization of the Boltzmann equation /$feditors Nicola Bellomo, Renee Gatignol 205 $a1st ed. 210 $aRiver Edge, NJ $cWorld Scientific$dc2003 215 $a1 online resource (317 p.) 225 1 $aSeries on advances in mathematics for applied sciences ;$vv. 63 300 $aDescription based upon print version of record. 311 08$a9789812382252 311 08$a9812382259 320 $aIncludes bibliographical references. 327 $aCONTENTS ; Preface ; Chapter 1. From the Boltzmann Equation to Discretized Kinetic Models ; 1.1 Introduction ; 1.2 The Nonlinear Boltzmann Equation ; 1.3 The Discrete and Semicontinuous Boltzmann Equation ; 1.4 Plan of the Lecture Notes ; 1.5 References 327 $aChapter 2. Discrete Velocity Models for Gas Mixtures 2.1 Introduction ; 2.2 DVM for mixtures ; 2.3 Models with a finite number of velocities and the problem of spurious invariants ; 2.4 Constructing DVM with arbitrarily many velocities ; 2.5 Concluding remarks ; 2.6 References 327 $aChapter 3. Discrete Velocity Models with Multiple Collisions 3.1 Introduction ; 3.2 Discrete Models with Multiple Collisions ; 3.3 Macroscopic Description ; 3.4 Boundary Conditions for Discrete Models ; 3.5 Conclusion ; 3.6 References 327 $aChapter 4. Discretization of the Boltzmann Equation and the Semicontinuous Model 4.1 Introduction ; 4.2 Splitting and Energy Formulation ; 4.3 Working in a Finite Energy Interval ; 4.4 Energy Discretization and Kinetic Model 327 $a4.5 Conservation and Euler Equations for the Discretized Model 4.6 Energy Formulation of the Collision Dynamics ; 4.7 Concluding Remarks ; 4.8 References ; Chapter 5. Semi-continuous Extended Kinetic Theory ; 5.1 Introduction ; 5.2 Continuous Kinetic Equations 327 $a5.3 Semi-continuous Kinetic Equations 330 $aThis book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters. Each chapter is written by applied mathematicians who have been active in the field, and whose scientific contributions are well recognized by the scientific community.
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