Matches in SemOpenAlex for { <https://semopenalex.org/work/W1995967221> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W1995967221 abstract "The Navier-Stokes-Voigt model of viscoelastic incompressible fluid has been recently proposed as a regularization of the three-dimensional Navier-Stokes equations for the purpose of direct numerical simulations. Besides the kinematic viscosity parameter, $nu>0$, this model possesses a regularizing parameter, $alpha> 0$, a given length scale parameter, so that $frac{alpha^2}{nu}$ is the relaxation time of the viscoelastic fluid. In this work, we derive several statistical properties of the invariant measures associated with the solutions of the three-dimensional Navier-Stokes-Voigt equations. Moreover, we prove that, for fixed viscosity, $nu>0$, as the regularizing parameter $alpha$ tends to zero, there exists a subsequence of probability invariant measures converging, in a suitable sense, to a strong stationary statistical solution of the three-dimensional Navier-Stokes equations, which is a regularized version of the notion of stationary statistical solutions - a generalization of the concept of invariant measure introduced and investigated by Foias. This fact supports earlier numerical observations, and provides an additional evidence that, for small values of the regularization parameter $alpha$, the Navier-Stokes-Voigt model can indeed be considered as a model to study the statistical properties of the three-dimensional Navier-Stokes equations and turbulent flows via direct numerical simulations." @default.
- W1995967221 created "2016-06-24" @default.
- W1995967221 creator A5049120370 @default.
- W1995967221 creator A5076835339 @default.
- W1995967221 date "2009-10-08" @default.
- W1995967221 modified "2023-09-27" @default.
- W1995967221 title "Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit" @default.
- W1995967221 cites W1007583194 @default.
- W1995967221 cites W1557398628 @default.
- W1995967221 cites W1583776021 @default.
- W1995967221 cites W1672623218 @default.
- W1995967221 cites W1973195575 @default.
- W1995967221 cites W1988055686 @default.
- W1995967221 cites W1990428497 @default.
- W1995967221 cites W2021097403 @default.
- W1995967221 cites W2050962398 @default.
- W1995967221 cites W2056077850 @default.
- W1995967221 cites W2078362444 @default.
- W1995967221 cites W2110444507 @default.
- W1995967221 cites W2295885183 @default.
- W1995967221 cites W2950158964 @default.
- W1995967221 cites W2950181095 @default.
- W1995967221 cites W2963315378 @default.
- W1995967221 cites W2998195666 @default.
- W1995967221 hasPublicationYear "2009" @default.
- W1995967221 type Work @default.
- W1995967221 sameAs 1995967221 @default.
- W1995967221 citedByCount "4" @default.
- W1995967221 countsByYear W19959672212014 @default.
- W1995967221 countsByYear W19959672212015 @default.
- W1995967221 crossrefType "posted-content" @default.
- W1995967221 hasAuthorship W1995967221A5049120370 @default.
- W1995967221 hasAuthorship W1995967221A5076835339 @default.
- W1995967221 hasConcept C115667082 @default.
- W1995967221 hasConcept C121332964 @default.
- W1995967221 hasConcept C122044880 @default.
- W1995967221 hasConcept C134306372 @default.
- W1995967221 hasConcept C154945302 @default.
- W1995967221 hasConcept C190470478 @default.
- W1995967221 hasConcept C2776135515 @default.
- W1995967221 hasConcept C2781278361 @default.
- W1995967221 hasConcept C28826006 @default.
- W1995967221 hasConcept C33923547 @default.
- W1995967221 hasConcept C37914503 @default.
- W1995967221 hasConcept C41008148 @default.
- W1995967221 hasConcept C57879066 @default.
- W1995967221 hasConcept C84655787 @default.
- W1995967221 hasConcept C88768529 @default.
- W1995967221 hasConceptScore W1995967221C115667082 @default.
- W1995967221 hasConceptScore W1995967221C121332964 @default.
- W1995967221 hasConceptScore W1995967221C122044880 @default.
- W1995967221 hasConceptScore W1995967221C134306372 @default.
- W1995967221 hasConceptScore W1995967221C154945302 @default.
- W1995967221 hasConceptScore W1995967221C190470478 @default.
- W1995967221 hasConceptScore W1995967221C2776135515 @default.
- W1995967221 hasConceptScore W1995967221C2781278361 @default.
- W1995967221 hasConceptScore W1995967221C28826006 @default.
- W1995967221 hasConceptScore W1995967221C33923547 @default.
- W1995967221 hasConceptScore W1995967221C37914503 @default.
- W1995967221 hasConceptScore W1995967221C41008148 @default.
- W1995967221 hasConceptScore W1995967221C57879066 @default.
- W1995967221 hasConceptScore W1995967221C84655787 @default.
- W1995967221 hasConceptScore W1995967221C88768529 @default.
- W1995967221 hasLocation W19959672211 @default.
- W1995967221 hasOpenAccess W1995967221 @default.
- W1995967221 hasPrimaryLocation W19959672211 @default.
- W1995967221 hasRelatedWork W126031619 @default.
- W1995967221 hasRelatedWork W1631291176 @default.
- W1995967221 hasRelatedWork W1781940033 @default.
- W1995967221 hasRelatedWork W1853973642 @default.
- W1995967221 hasRelatedWork W1990982769 @default.
- W1995967221 hasRelatedWork W2044458714 @default.
- W1995967221 hasRelatedWork W2044836947 @default.
- W1995967221 hasRelatedWork W2058230700 @default.
- W1995967221 hasRelatedWork W2077597257 @default.
- W1995967221 hasRelatedWork W2130247647 @default.
- W1995967221 hasRelatedWork W2169767827 @default.
- W1995967221 hasRelatedWork W2248008408 @default.
- W1995967221 hasRelatedWork W2889248689 @default.
- W1995967221 hasRelatedWork W2962839726 @default.
- W1995967221 hasRelatedWork W2963315378 @default.
- W1995967221 hasRelatedWork W2963486101 @default.
- W1995967221 hasRelatedWork W2963849321 @default.
- W1995967221 hasRelatedWork W3003990368 @default.
- W1995967221 hasRelatedWork W3098271703 @default.
- W1995967221 hasRelatedWork W3105377977 @default.
- W1995967221 isParatext "false" @default.
- W1995967221 isRetracted "false" @default.
- W1995967221 magId "1995967221" @default.
- W1995967221 workType "article" @default.