Smoothness of classical solutions to the Vlasov-Maxwell-Landau system near Maxwellians
type: Item
instance of: scholarly article
title: Smoothness of classical solutions to the Vlasov-Maxwell-Landau system near Maxwellians
zbMATH Open document ID: 1159.35012
author: Yemin Chen
published in: Discrete and Continuous Dynamical Systems
publication date: 2008-09-29T00:00:00Z
review text: Smoothness of solutions to the Vlasov-Maxwell-Landau system in a cube \(\left[-\pi,\pi\right]^{3}\) with periodicity boundary conditions is discussed. It is shown that assuming certain bounds of the initial data in suitable norms their finite regularity yields \(C_{\infty}\)-smoothness with respect to space, time and velocity variables in the open time cylinder \(\mathbb{R}_{>0}\times\left[-\pi,\pi\right]^{3}\times\mathbb{R}^{3}\).
reviewed by: Rainer Picard
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 5347950
zbMATH Keywords: Vlasov-Maxwell-Landau system
zbMATH Keywords: smoothness of solutions
zbMATH Keywords: averaging lemmas
zbMATH Keywords: periodicity boundary conditions
MaRDI profile type: Publication
full work available at URL: dcds.2008.20.889
OpenAlex ID: W2013368579
DOI: 10.3934/DCDS.2008.20.889
description: scientific article; zbMATH DE number 5347950