Single speed solutions of the Vlasov-Poisson equations for Coulombian and Newtonian systems in nD

Results of theoretical and numerical investigations concerning the space-time evolution in nD of Coulombian systems known in Plasma Physics and Newtonian systems known in Cosmology are reported here. A generic, canonical Hamiltonian formulation is given (1) for studying single speed solutions of their Coulomb- or Jeans-Vlasov-Poisson descriptions. (2) It is shown that their equations of motion are integrable for vorticity free planar motions in nD (3) and that their characteristics are solutions of explicit non-linear ODES in general (4). Some simple examples of trajectories are illustrated and the problem of their crossing is evoked. (c) 2007 Elsevier B.V. All rights reserved.

Published in:
Communications In Nonlinear Science And Numerical Simulation, 13, 40-45
Presented at:
2nd International Meeting on the Vlasov Equation, Florence, ITALY, Sep 18-20, 2006

 Record created 2010-11-30, last modified 2018-01-28

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