On local existence of the Vlasov-Fokker-Planck equation in a 2D anisotropic space

We are concerned with local existence of the Vlasov-Fokker-Planck equation in a 2 D anisotropic space L x p L v 1 in a bounded domain with respect to the space variable. The energy method is used to construct the result and the Hardy inequality is used to estimate the electric field.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Boundary value problems 2013-11, Vol.2013 (1), Article 233
Hauptverfasser:	Chen, Jing Chun, He, Cong
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Approximations and Expansions Difference and Functional Equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We are concerned with local existence of the Vlasov-Fokker-Planck equation in a 2 D anisotropic space L x p L v 1 in a bounded domain with respect to the space variable. The energy method is used to construct the result and the Hardy inequality is used to estimate the electric field.
ISSN:	1687-2770 1687-2770
DOI:	10.1186/1687-2770-2013-233