Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2476 | |
| dc.contributor.author | Lasarzik, Robert | |
| dc.date.accessioned | 2018-04-16T09:57:56Z | |
| dc.date.available | 2019-06-28T08:16:59Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | In this article, we prove the existence of measure-valued solutions to the EricksenLeslie system equipped with the OseenFrank energy. We introduce the concept of generalized gradient Young measures. Via a Galerkin approximation, we show the existence of weak solutions to a regularized system and attain measure-valued solutions for vanishing regularization. Additionally, it is shown that the measure-valued solution fulfills an energy inequality. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2641 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3102 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2476 | |
| 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 | Liquid crystal | eng |
| dc.subject.other | Ericksen–Leslie equation | eng |
| dc.subject.other | existence | eng |
| dc.subject.other | measure-valued solution | eng |
| dc.subject.other | generalized Young measure | eng |
| dc.title | Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy | 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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