| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 767732 | Communications in Nonlinear Science and Numerical Simulation | 2008 | 6 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Philippe Choquard,