Choquard, Philippe2010-11-302010-11-302010-11-30200810.1016/j.cnsns.2007.03.011https://infoscience.epfl.ch/handle/20.500.14299/61496WOS:000254517600007Results 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.Coulombian and Newtonian fluidsnon-local Hamiltonian field. theoryintegrability of planar solutionsLong-Range InteractionsImplicit SolutionsEulers Equations1D SystemsContinuityUniversetext::conference output::conference proceedings::conference paper