On the asymptotic growth of the solutions of the Vlasov-Poisson system

Details On the asymptotic growth of the solutions of the Vlasov-Poisson system On the asymptotic growth of the solutions of the Vlasov-Poisson system

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mmas...16...75h&link_type=abstract

Mathematical Methods in the Applied Sciences (ISSN 0170-4214), vol. 16, no. 2, p. 75-85.

Physics

Plasma Physics

16

Asymptotic Properties, Poisson Equation, Vlasov Equations, Astrophysics, Plasma Physics

Scientific paper

After demonstrating the global existence of classical solutions of the
Vlasov-Poisson system, current growth estimates are improved. It is
shown, by combining a new method of Schaeffer with new arguments, that
the velocities of particles as different as stars or ions described by
these equations asymptotically grow as O(t log exp 11/14 t) in time.

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