Kinetic Boltzmann, Vlasov and Related EquationsBoltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecularkinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes largescale processes and galaxies in astronomy, star wind theory. This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance.

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Contents
1  
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19  
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Chapter 5 Introduction to the Mathematical Theory of Kinetic Equations  35 
Chapter 6 On the Family of the SteadyState Solutions of VlasovMaxwell System  49 
Chapter 7 Boundary Value Problems for the VlasovMaxwell System  69 
Chapter 8 Bifurcation of Stationary Solutions of the VlasovMaxwell System  133 
Chapter 10 Discrete Models of Boltzmann Equation  183 
Chapter 11 Method of Spherical Harmonics and Relaxation of Maxwellian Gas  195 
Chapter 12 Discrete Boltzmann Equation Models for Mixtures  211 
Chapter 13 Quantum Hamiltonians and Kinetic Equations  227 
Chapter 14 Modeling of the Limit Problem for the Magnetically Noninsulated Diode  241 
Chapter 15 Generalized Liouville Equation and Approximate Orthogonal Decomposition Methods  261 
Glossary of Terms and Symbols  287 
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Other editions  View all
Kinetic Boltzmann, Vlasov and Related Equations Alexander Sinitsyn,Victor Vedenyapin,Eugene Dulov Limited preview  2011 
Kinetic Boltzmann, Vlasov and Related Equations Alexander Sinitsyn,Victor Vedenyapin,Eugene Dulov No preview available  2011 