Dislocation dynamics in crystals: A macroscopic theory in a fractional Laplace setting

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dc.bibliographicCitation.volume1847
dc.contributor.authorDipierro, Serena
dc.contributor.authorPalatucci, Giampiero
dc.contributor.authorValdinoci, Enrico
dc.date.accessioned2016-03-24T17:37:47Z
dc.date.available2019-06-28T08:21:23Z
dc.date.issued2013
dc.description.abstractWe consider an evolution equation arising in the PeierlsNabarro model for crystal dislocation. We study the evolution of such dislocation function and show that, at a macroscopic scale, the dislocations have the tendency to concentrate at single points of the crystal, where the size of the slip coincides with the natural periodicity of the medium. these dislocation points evolve according to the external stress and an interior repulsive potential.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn0946-8633
dc.identifier.urihttps://doi.org/10.34657/2257
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3288
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1847, 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.subjectNonlinear problemseng
dc.subjectnonlocal Allen-Cahn equationeng
dc.subjectreaction-diffusioneng
dc.subjectPeierls–Nabarro modeleng
dc.subjectdislocation dynamicseng
dc.subjectparticle systemseng
dc.subjectfractional Laplacianeng
dc.subjectfractional Sobolev spaces.Evolutionsgleichungeng
dc.subjectGitterbaufehlereng
dc.subjectPeierls-Instabilitäteng
dc.subject.ddc510eng
dc.titleDislocation dynamics in crystals: A macroscopic theory in a fractional Laplace settingeng
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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