FUNCTIONAL SOLUTIONS FOR THE VLASOV-POISSON SYSTEM

Citation
Ja. Carrillo et J. Soler, FUNCTIONAL SOLUTIONS FOR THE VLASOV-POISSON SYSTEM, Applied mathematics letters, 10(1), 1997, pp. 45-50
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
08939659
Volume
10
Issue
1
Year of publication
1997
Pages
45 - 50
Database
ISI
SICI code
0893-9659(1997)10:1<45:FSFTVS>2.0.ZU;2-R
Abstract
Motivated by concentration effects of the energy and singular behaviou r of the distribution of particles, a new concept of solution, called functional solution, for the Vlasov-Poisson system in three dimensions is introduced. Global existence of functional solution is studied wit h positive bounded measures as initial data.