Maximal dissipative solutions for incompressible fluid dynamics
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2666 | |
dc.contributor.author | Lasarzik, Robert | |
dc.date.accessioned | 2022-06-23T14:49:32Z | |
dc.date.available | 2022-06-23T14:49:32Z | |
dc.date.issued | 2019 | |
dc.description.abstract | We introduce the new concept of maximal dissipative solutions for the Navier--Stokes and Euler equations and show that these solutions exist and the solution set is closed and convex. The concept of maximal dissipative solutions coincides with the concept of weak solutions as long as the weak solutions inherits enough regularity to be unique. A maximal dissipative solution is defined as the minimizer of a convex functional and we argue that this definition bears several advantages. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9250 | |
dc.identifier.uri | https://doi.org/10.34657/8288 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2666 | |
dc.relation.hasversion | https://doi.org/10.1007/s00033-021-01628-1 | |
dc.relation.issn | 2198-5855 | |
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 | |
dc.subject.other | Existence | eng |
dc.subject.other | uniqueness | eng |
dc.subject.other | Navier--Stokes | eng |
dc.subject.other | Euler | eng |
dc.subject.other | incompressible | eng |
dc.subject.other | fluid dynamics | eng |
dc.title | Maximal dissipative solutions for incompressible fluid dynamics | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 11 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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