Hydrodynamic limits of the vlasov equation

We study the Vlasov equation for repulsive forces in the hydrodynamic regime. For initial distributions at zero temperature the limit equations turn out to be the compressible and incompressible Euler equations under suitable space-time scalings.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Communications in partial differential equations 1993-01, Vol.18 (5-6), p.805-820
Hauptverfasser:	Caprino, S., Esposito, R., Marra, R., Pulvirenti, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	70 PLASMA PHYSICS AND FUSION TECHNOLOGY 700330 - Plasma Kinetics, Transport, & Impurities- (1992-) BOLTZMANN-VLASOV EQUATION COULOMB FIELD DIFFERENTIAL EQUATIONS ELECTRIC FIELDS EQUATIONS Euler equation Exact sciences and technology FLUID MECHANICS Function theory, analysis Hydrodynamic limit HYDRODYNAMICS Mathematical methods in physics MECHANICS PARTIAL DIFFERENTIAL EQUATIONS Physics PLASMA PLASMA FLUID EQUATIONS SCALING LAWS TRANSPORT THEORY Vlasov equation
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We study the Vlasov equation for repulsive forces in the hydrodynamic regime. For initial distributions at zero temperature the limit equations turn out to be the compressible and incompressible Euler equations under suitable space-time scalings.
ISSN:	0360-5302 1532-4133
DOI:	10.1080/03605309308820951