On a charge interacting with a plasma of unbounded mass
type: Item
instance of: scholarly article
title: On a charge interacting with a plasma of unbounded mass
zbMATH Open document ID: 1236.82063
author: Silvia Caprino
author: Carlo Marchioro
published in: Kinetic and Related Models
publication date: 2011-03-23T00:00:00Z
review text: A system of one positive charge plus a positively charged plasma is considered in \(\mathbb{R}^2\), an infinite region. The term ``infinite'' refers to the main difference this approach is made for: the density is not supposed here to be bounded in contrast with the most existing literature. It is supposed that a background of continuous distribution of neutral particles in thermal equilibrium at high temperature is present (this is referred to as Vlasov-Helmholtz system). To avoid the problem of infinite energy, the finite energy of a region is introduces and it is proven that this function remains finite also at later times. The solution is determined and its existence is demonstrated, the desived properties are discussed.
Mathematics Subject Classification ID: 82D10
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35L60
zbMATH DE Number: 5869603
zbMATH Keywords: Vlasov-Helmholtz plasma
zbMATH Keywords: infinitely extended systems
reviewed by: Iván Abonyi
MaRDI profile type: Publication
full work available at URL: krm.2011.4.215
OpenAlex ID: W2329389469
DOI: 10.3934/KRM.2011.4.215
description: scientific article; zbMATH DE number 5869603