Global solutions for the one dimensional Water-Bag model - Archive ouverte HAL Access content directly
Journal Articles Communications in Mathematical Sciences Year : 2009

Global solutions for the one dimensional Water-Bag model

Abstract

In this paper we study a special type of solution for the one dimensional Vlasov-Maxwell equations. We assume that initially the particle density is constant on its support in the phase space and we are looking for solutions with particle density having the same property at any time t > 0. More precisely, for each x the support of the density is assumed to be an interval [p,P] with end-points varying in space and time. We analyze here the case of weak and strong solutions for the effective equations verified by the end-points and the electric field (water-bag model) in the relativistic setting.
Fichier principal
Vignette du fichier
main_WaterBag.pdf (203.45 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00594958 , version 1 (22-05-2011)

Identifiers

Cite

Mihai Bostan, Jose Antonio Carrillo. Global solutions for the one dimensional Water-Bag model. Communications in Mathematical Sciences, 2009, 7 (1), pp.129-141. ⟨10.4310/CMS.2009.v7.n1.a6⟩. ⟨hal-00594958⟩
599 View
419 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More