Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963462894> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2963462894 endingPage "320" @default.
- W2963462894 startingPage "308" @default.
- W2963462894 abstract "The old idea that an infinite dimensional dynamical system may have its high modes or frequencies slaved to low modes or frequencies is re-visited in the context of the $3D$ Navier-Stokes equations. A set of dimensionless frequencies ${tilde{Omega}_{m}(t)}$ are used which are based on $L^{2m}$-norms of the vorticity. To avoid using derivatives a closure is assumed that suggests that the $tilde{Omega}_{m}$ ($m>1$) are slaved to $tilde{Omega}_{1}$ (the global enstrophy) in the form $tilde{Omega}_{m} = tilde{Omega}_{1}mathcal{F}_{m}(tilde{Omega}_{1})$. This is shaped by the constraint of two Holder inequalities and a time average from which emerges a form for $mathcal{F}_{m}$ which has been observed in previous numerical Navier-Stokes and MHD simulations. When written as a phase plane in a scaled form, this relation is parametrized by a set of functions $1 leq lambda_{m}(tau) leq 4$, where curves of constant $lambda_{m}$ form the boundaries between tongue-shaped regions. In regions where $2.5 leq lambda_{m} leq 4$ and $1 leq lambda_{m} leq 2$ the Navier-Stokes equations are shown to be regular,: numerical simulations appear to lie in the latter region. Only in the central region $2 < lambda_{m} < 2.5$ has no proof of regularity been found." @default.
- W2963462894 created "2019-07-30" @default.
- W2963462894 creator A5076323180 @default.
- W2963462894 date "2015-11-24" @default.
- W2963462894 modified "2023-10-16" @default.
- W2963462894 title "High–low frequency slaving and regularity issues in the 3D Navier–Stokes equations" @default.
- W2963462894 cites W106245569 @default.
- W2963462894 cites W1579236455 @default.
- W2963462894 cites W1985812515 @default.
- W2963462894 cites W1988288983 @default.
- W2963462894 cites W1995058887 @default.
- W2963462894 cites W2021964921 @default.
- W2963462894 cites W2023480419 @default.
- W2963462894 cites W2025377869 @default.
- W2963462894 cites W2028980736 @default.
- W2963462894 cites W2030939180 @default.
- W2963462894 cites W2035587664 @default.
- W2963462894 cites W2037403153 @default.
- W2963462894 cites W2045906052 @default.
- W2963462894 cites W2065297008 @default.
- W2963462894 cites W2071571287 @default.
- W2963462894 cites W2072059094 @default.
- W2963462894 cites W2078472687 @default.
- W2963462894 cites W2078707336 @default.
- W2963462894 cites W2083247107 @default.
- W2963462894 cites W2095377493 @default.
- W2963462894 cites W2098138598 @default.
- W2963462894 cites W2109497697 @default.
- W2963462894 cites W2123245583 @default.
- W2963462894 cites W2129891976 @default.
- W2963462894 cites W2131908956 @default.
- W2963462894 cites W2139352946 @default.
- W2963462894 cites W2215743493 @default.
- W2963462894 cites W2603597282 @default.
- W2963462894 cites W2963992818 @default.
- W2963462894 cites W3098890593 @default.
- W2963462894 cites W3102448929 @default.
- W2963462894 cites W3105726186 @default.
- W2963462894 cites W4243066586 @default.
- W2963462894 cites W4250645666 @default.
- W2963462894 doi "https://doi.org/10.1093/imamat/hxv037" @default.
- W2963462894 hasPublicationYear "2015" @default.
- W2963462894 type Work @default.
- W2963462894 sameAs 2963462894 @default.
- W2963462894 citedByCount "3" @default.
- W2963462894 countsByYear W29634628942016 @default.
- W2963462894 countsByYear W29634628942017 @default.
- W2963462894 crossrefType "journal-article" @default.
- W2963462894 hasAuthorship W2963462894A5076323180 @default.
- W2963462894 hasBestOaLocation W29634628942 @default.
- W2963462894 hasConcept C121332964 @default.
- W2963462894 hasConcept C134306372 @default.
- W2963462894 hasConcept C28826006 @default.
- W2963462894 hasConcept C33923547 @default.
- W2963462894 hasConcept C57879066 @default.
- W2963462894 hasConceptScore W2963462894C121332964 @default.
- W2963462894 hasConceptScore W2963462894C134306372 @default.
- W2963462894 hasConceptScore W2963462894C28826006 @default.
- W2963462894 hasConceptScore W2963462894C33923547 @default.
- W2963462894 hasConceptScore W2963462894C57879066 @default.
- W2963462894 hasIssue "2" @default.
- W2963462894 hasLocation W29634628941 @default.
- W2963462894 hasLocation W29634628942 @default.
- W2963462894 hasLocation W29634628943 @default.
- W2963462894 hasOpenAccess W2963462894 @default.
- W2963462894 hasPrimaryLocation W29634628941 @default.
- W2963462894 hasRelatedWork W2050770628 @default.
- W2963462894 hasRelatedWork W2052109794 @default.
- W2963462894 hasRelatedWork W2141704600 @default.
- W2963462894 hasRelatedWork W2347039194 @default.
- W2963462894 hasRelatedWork W2401850100 @default.
- W2963462894 hasRelatedWork W3043663456 @default.
- W2963462894 hasRelatedWork W3117324600 @default.
- W2963462894 hasRelatedWork W3157737782 @default.
- W2963462894 hasRelatedWork W3161443230 @default.
- W2963462894 hasRelatedWork W4210327724 @default.
- W2963462894 hasVolume "81" @default.
- W2963462894 isParatext "false" @default.
- W2963462894 isRetracted "false" @default.
- W2963462894 magId "2963462894" @default.
- W2963462894 workType "article" @default.