Homogenization and Orowan's law for anisotropic fractional operators of any order
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1962 | |
| dc.contributor.author | Patrizi, Stefania | |
| dc.contributor.author | Valdinoci, Enrico | |
| dc.date.accessioned | 2016-03-24T17:37:11Z | |
| dc.date.available | 2019-06-28T08:14:41Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | We consider an anisotropic Lévy operator Is of any order s 2 (0, 1) and we consider the homogenization properties of an evolution equation. The scaling properties and the effective Hamiltonian that we obtain is different according to the cases s < 1/2 and s > 1/2. In the isotropic onedimensional case, we also prove a statement related to the so-called Orowans law, that is an appropriate scaling of the effective Hamiltonian presents a linear behavior. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2512 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2987 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This 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.license | Dieses 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.subject.ddc | 510 | eng |
| dc.subject.other | Crystal dislocation | eng |
| dc.subject.other | homogenization | eng |
| dc.subject.other | fractional operators | eng |
| dc.title | Homogenization and Orowan's law for anisotropic fractional operators of any order | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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