Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions
dc.bibliographicCitation.firstPage | 4617 | eng |
dc.bibliographicCitation.issue | 9 | eng |
dc.bibliographicCitation.journalTitle | Discrete and continuous dynamical systems : DCDS : Series A | eng |
dc.bibliographicCitation.lastPage | 4635 | eng |
dc.bibliographicCitation.volume | 38 | eng |
dc.contributor.author | Emmrich, Etienne | |
dc.contributor.author | Lasarzik, Robert | |
dc.date.accessioned | 2022-06-22T05:59:45Z | |
dc.date.available | 2022-06-22T05:59:45Z | |
dc.date.issued | 2018 | |
dc.description.abstract | We study the Ericksen-Leslie system equipped with a quadratic free energy functional. The norm restriction of the director is incorporated by a standard relaxation technique using a double-well potential. We use the relative energy concept, often applied in the context of compressible Euler- or related systems of fluid dynamics, to prove weak-strong uniqueness of solutions. A main novelty, not only in the context of the Ericksen-Leslie model, is that the relative energy inequality is proved for a system with a nonconvex energy. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9110 | |
dc.identifier.uri | https://doi.org/10.34657/8148 | |
dc.language.iso | eng | eng |
dc.publisher | Springfield, Mo. : American Institute of Mathematical Sciences | eng |
dc.relation.doi | https://doi.org/10.3934/dcds.2018202 | |
dc.relation.essn | 1553-5231 | |
dc.rights.license | CC BY 4.0 Unported | eng |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | eng |
dc.subject.ddc | 510 | eng |
dc.subject.other | Ericksen-Leslie equation | eng |
dc.subject.other | Existence | eng |
dc.subject.other | Liquid crystal | eng |
dc.subject.other | Weak solution | eng |
dc.subject.other | Weak-strong uniqueness | eng |
dc.title | Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions | eng |
dc.type | Article | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Zeitschriftenartikel | eng |
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