Vlasov equation

Details Vlasov equation Vlasov equation

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...114..211h&link_type=abstract

Astronomy and Astrophysics, vol. 114, no. 1, Oct. 1982, p. 211, 212.

Astronomy and Astrophysics

Astrophysics

18

Astrodynamics, Collisionless Plasmas, Cosmic Plasma, Plasma Dynamics, Stellar Motions, Vlasov Equations, Boltzmann Transport Equation, Continuity Equation, Kinetic Theory, Many Body Problem, Maxwell Equation

Scientific paper

The equation used in 1915 by Jeans, who showed that the basic set of equations for galactic dynamics is formed by this equation together with Poisson's equation, is often referred to as the Vlasov equation. Vlasov's subsequent contribution consisted in showing that, in a very similar way, the appropriate set of equations for a plasma is formed by this equation in combination with Maxwell's equations in many cases. A survey of textbooks and papers reveals that this equation goes by seven different names: the Liouville equation, Boltzmann equation, collisionless Boltzmann equation, Liouville-Boltzmann equation, Jeans equation, equation of continuity, and Vlasov equation. It is proposed that the name 'collisionless Boltzmann equation' become the standard.

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