Illner, R.; Rjasanow, S.

Difference scheme for the Vlasov-Manev system

Doc. Math., J. DMV 4, 179-201 (1999)


Summary: We develop and test a finite difference scheme for the Vlasov-Manev Equation in one space and one velocity dimension. The Manev correction to the Newtonian potential produces visible qualitative differences in the behaviour of stellar systems; the most notable effect observed in this paper is a stabilisation of the separate identities of two Maxwellian concentrations at different locations.

Mathematics Subject Classification

65N06, 65N12, 65N22, 85A05


Vlasov-manev system, finite difference methods, stability