Vlasov equation

Vlasov equation

[′vla·sȯf i‚kwā·zhən]
(plasma physics)
A modification of the Boltzmann transport equation for the study of a plasma, in which particles interact only through the mutually induced space-charge field, and collisions are assumed to be negligible. Also known as collisionless Boltzmann equation.
References in periodicals archive ?
Bostan, Gyrokinetic Vlasov equation in three dimensional setting.
Shoucri presents the application of the method of characteristics for the numerical solution of hyperbolic-type partial differential equations, with particular attention to the Vlasov equation and other equations pertinent to plasma physics.
Nov 26-28 First International Workshop on the Theory and Applications of the Vlasov Equation.
Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory.
Individual topics include hydrodynamic limits of kinetic models, collisionless plasmas and the Vlasov Maxwell system, irreversible behaviors in Vlasov equation and many-body Hamiltonian dynamics in terms of Landau damping, chaos and granularity, guiding center theory, variational formulation of exact and reduced Vlasov-Maxwell equations, general gyrokinetic theory (including an article with applications in magnetic confinement research in plasma plastics) kinetic to fluid descriptions in plasmas, nonlocal closures in long mean free path regimes, modeling quantum plasmas and inelastic kinetic theory in terms of the granular gas.
A more general class of stochastic systems is governed by McKean- Vlasov equations in which the coefficients are not only functions of the state but also of the probability measure induced by the state itself.