From the Newton equation to the wave equation in some simple cases

dc.contributor.author	Blanc, Xavier HAL ID: 11177 ORCID: 0000-0003-1783-0708
dc.contributor.author	Le Bris, Claude
dc.contributor.author	Lions, Pierre-Louis
dc.date.accessioned	2013-07-17T07:40:59Z
dc.date.available	2013-07-17T07:40:59Z
dc.date.issued	2012
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/11566
dc.language.iso	en	en
dc.subject	Macroscopic limit	en
dc.subject	Newton equation	en
dc.subject	nonlinear wave equation	en
dc.subject.ddc	515	en
dc.title	From the Newton equation to the wave equation in some simple cases	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	We prove that, in some simple situations at least, the one-dimensional wave equation is the limit as the microscopic scale goes to zero of some time-dependent Newton type equation of motion for atomistic systems. We address both some linear and some nonlinear cases.	en
dc.relation.isversionofjnlname	Networks and Heterogeneous Media
dc.relation.isversionofjnlvol	7	en
dc.relation.isversionofjnlissue	1	en
dc.relation.isversionofjnldate	2012
dc.relation.isversionofjnlpages	1-41	en
dc.relation.isversionofdoi	http://dx.doi.org/10.3934/nhm.2012.7.1	en
dc.relation.isversionofjnlpublisher	AIMS	en
dc.subject.ddclabel	Analyse	en
dc.relation.forthcoming	non	en
dc.relation.forthcomingprint	non	en

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