Kinetic Boltzmann, Vlasov and Related Equations

Kinetic Boltzmann, Vlasov and Related Equations

Dulov, Eugene; Sinitsyn, Alexander; Vedenyapin, Victor

Elsevier - Health Sciences Division

06/2011

320

Mole

Inglês

9780323165303

15 a 20 dias

520

Descrição não disponível.
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
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6-th Hilbert problem; analytical integration; ansatz; asymptotic solution; Banach space; Bernoulli integral; bifurcation of the solutions; Boltzmann; Boltzmann equation; Boltzmann equation symmetry; Boltzmann extremal; boundary condition; boundary problem; boundary-value problem; bounded domain; branching equation; Chempen-Enskog; Child-Langmuir asymptotic; classical solution; collision model; collision operator; conservation laws; convergent series; diode; discrete Boltzmann equation; energetic substitution; existence of solutions; expanding space; gas laws; gas mixture; H- theorem; Hamiltonian dynamics; Hermite function; hydrodynamic substitution; hydrodynamics; kinetic equation; kinetic equations; Kinetic-type equation; Lagrangian coordinates; linear stability; Liouville theorem; lower and upper solutions; mathematical physics; Maxwell; mixture of gases; nonstationary solution; numerical modeling; open problems; oscillatory and antioscillatory potentials; particle interaction; particle scattering; particle shift along the trajectory; perturbation analysis; Plasma physics; quantum Boltzmann equation; quantum Hamiltonian; quantum optics; Riemannian metric space; rotation group; series convergence; series decomposition; stationary solution; Stationary Vlasov-Maxwell system; travelling waves; two-component plasma; unique solution; variational method; Vlasov; Vlasov-Maxwell system; Vlasov-Poisson equation; Vlasov-Poisson system; weak solution