Propagation of space moments in the Vlasov-Poisson equation and further results
type: Item
instance of: scholarly article
title: Propagation of space moments in the Vlasov-Poisson equation and further results
zbMATH Open document ID: 1011.35034
DOI: 10.1016/S0294-1449(99)80026-2
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2000-05-29T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78473
review text: The author has proved that, if the initial data have moments in the space variable \(x\) higher than three, then the corresponding solution \(f(t, x,v)\) of the Vlasov-Poisson system has also moments in \(x-vt\) higher than three. The propagation of low moments in the space or in the velocity variable has been proved and some a priori estimates for solutions of the Vlasov-Poisson system with infinite kinetic energy have been established.
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 1333247
zbMATH Keywords: infinite kinetic energy
author: Francois Castella
MaRDI profile type: Publication
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OpenAlex ID: W2076775422
description: scientific article; zbMATH DE number 1333247