ASYMPTOTIC-BEHAVIOR FOR THE FRICTIONLESS VLASOV-POISSON-FOKKER-PLANCKSYSTEM

Authors
CARRILLO JA SOLER J VAZQUEZ JL
Citation
Ja. Carrillo et al., ASYMPTOTIC-BEHAVIOR FOR THE FRICTIONLESS VLASOV-POISSON-FOKKER-PLANCKSYSTEM, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(9), 1995, pp. 1195-1200
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
9
Year of publication
1995
Pages
1195 - 1200
Database
ISI
SICI code
0764-4442(1995)321:9<1195:AFTFV>2.0.ZU;2-C
Abstract
The aim of this work is to study the asymptotic behaviour of global in time solutions of the Vlasov-Poisson-Fokker-Planck system in three di mensions. We consider both cases, of gravitational and electrostatic i nteraction, but disregard friction. It is proved that the distribution of particles tends for large times to the fundamental solution of the linear operator, in other words the effect of the interaction potenti al vanishes comparatively as t --> infinity. Convergence takes place i n the L(1) norm.