Growth estimates and uniform decay for a collisionless plasma
type: Item
instance of: scholarly article
title: Growth estimates and uniform decay for a collisionless plasma
zbMATH Open document ID: 1220.82108
author: Christophe Pallard
published in: Kinetic and Related Models
publication date: 2011-07-19T00:00:00Z
review text: The classical Vlasov-Poisson system in three space dimensions and its asymptotic solutions are considered in the electrostatic case. For smooth solutions starting from compactly supported initial data, an estimate on velocities is derived, showing an upper bound with a growth rate no larger than \((t\ln t)^{6/25}\), where \(t\) denotes the time variable. As a consequence, a decay estimate is obtained for the electric field in the \(L^\infty\) norm.
reviewed by: Claudia-Veronika Meister
Mathematics Subject Classification ID: 82D10
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 35Q83
zbMATH DE Number: 5925673
zbMATH Keywords: Vlasov-Poisson system
zbMATH Keywords: collisionless plasmas
zbMATH Keywords: Cauchy problem
zbMATH Keywords: asymptotic solutions
MaRDI profile type: Publication
full work available at URL: krm.2011.4.549
OpenAlex ID: W2329156409
DOI: 10.3934/KRM.2011.4.549
description: scientific article; zbMATH DE number 5925673