ON VLASOV-MANEV EQUATIONS, II - LOCAL EXISTENCE AND UNIQUENESS

Citation
R. Illner et al., ON VLASOV-MANEV EQUATIONS, II - LOCAL EXISTENCE AND UNIQUENESS, Journal of statistical physics, 91(3-4), 1998, pp. 625-654
Citations number
10
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
ISSN journal
00224715
Volume
91
Issue
3-4
Year of publication
1998
Pages
625 - 654
Database
ISI
SICI code
0022-4715(1998)91:3-4<625:OVEI-L>2.0.ZU;2-6
Abstract
We prove that the initial value problem associated with the Vlasov-Man ev system (a Vlasov equation in which a correction of type epsilon/r(2 ) is added to the Newtonian or Coulomb potential) has a local in lime classical and unique solution for sufficiently regular initial data.