Uniform asymptotic expansions for the infinite harmonic chain

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dc.bibliographicCitation.volume1846
dc.contributor.authorMielke, Alexander
dc.contributor.authorPatz, Carsten
dc.date.accessioned2016-03-24T17:37:45Z
dc.date.available2019-06-28T08:19:28Z
dc.date.issued2013
dc.description.abstractWe study the dispersive behavior of waves in linear oscillator chains. We show that for general general dispersions it is possible to construct an expansion such that the remainder can be estimated by 1/t uniformly in space. In particalur we give precise asymptotics for the transition from the 1/t1/2 decay of nondegenerate wave numbers to the generate 1/t1/3 decay of generate wave numbers. This involves a careful description of the oscillatory integral involving the Airy function.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn0946-8633
dc.identifier.urihttps://doi.org/10.34657/3457
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3213
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1846, ISSN 0946 – 8633eng
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subjectAsymptotic analysiseng
dc.subjectoscillatory integralseng
dc.subjectFermi–Pasta–Ulam chaineng
dc.subjectAiry functioneng
dc.subjectdispersive decayeng
dc.subjectmethod of stationary phaseeng
dc.subjectOszillatorische Differentialgleichungeng
dc.subjectNichtlineares dynamisches Systemeng
dc.subject.ddc510eng
dc.titleUniform asymptotic expansions for the infinite harmonic chaineng
dc.typereporteng
dc.typeTexteng
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastikeng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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