Kinetic Boltzmann, Vlasov and Related Equations

• 1. Principal Concepts of Kinetic Equations2. Lagrangian Coordinates3. Vlasov-Maxwell and Vlasov-Einstein Equations4. Energetic Substitution5. Introduction in Mathematical Theory of Kinetic Equations6. On the Family of the Steady-State Solutions of Vlasov-Maxwell System7. Boundary Value Problems for the Vlasov-Maxwell System8. Bifurcation of Stationary Solutions of the Vlasov-Maxwell System9. Boltzmann Equation10. Discrete Models of Boltzmann Equation11. Method of Spherical Harmonics and Relaxation of Maxwellian Gas12. Discrete Boltzmann equation Models for Mixtures13. Quantum Hamiltonians and Kinetic Equations14. Modelling of the Limit Problem for the Magnetically Noninsulated Diode15. Generalized Liouville Equation and Approximate Orthogonal Decomposition Methods

"...a well-written book, and its topics are carefully chosen and seriously treated. Thus, it is suitable for every researcher or graduate student studying the Boltzmann equation, Vlasov equations, and related equations." --Mathematical Reviews, Kinetic Boltzmann, Vlasov and Related Equations"The reviewed collective monograph presents not only the basics and common facts, but also recent results in the theory of kinetic equations and their many applications." --Zentralblatt MATH 1230-1