Convergence of weak solutions for the stationary Vlasov-Maxwell system to weak solutions for the stationary Vlasov-Poisson system for infinite light speed.
type: Item
instance of: scholarly article
title: Convergence of weak solutions for the stationary Vlasov-Maxwell system to weak solutions for the stationary Vlasov-Poisson system for infinite light speed.
zbMATH Open document ID: 1075.35092
author: Mihai Bostan
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2005-06-23T00:00:00Z
review text: The author analyzes the behaviour of weak solutions for the relativistic stationary Vlasov-Maxwell system, when the underlying domain \(\Omega\) is an open bounded set in \(\mathbb{R}^3\). Assuming the boundary \(\partial\Omega\) is regular and strictly star-shaped, and using weak stability results, he proves the convergence toward a weak solution for the stationary classical Vlasov-Poisson system. One of the main difficulties consists in removing the dependence on the light speed in the vacuum of the bound for the outgoing kinetic energy. The author states that the time periodic and the initial-boundary value problems can be treated analogously.
Mathematics Subject Classification ID: 35Q75
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 2182043
zbMATH Keywords: Vlasov-Maxwell system
zbMATH Keywords: convergence result
zbMATH Keywords: infinite light speed
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.crma.2005.04.009
OpenAlex ID: W2007221157
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DOI: 10.1016/J.CRMA.2005.04.009
description: scientific article; zbMATH DE number 2182043