Matches in SemOpenAlex for { <https://semopenalex.org/work/W4249564657> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W4249564657 endingPage "370" @default.
- W4249564657 startingPage "359" @default.
- W4249564657 abstract "Strong global solvability is difficult to prove for high-dimensional hydrodynamic systems because of the complex interplay between nonlinearity and scale invariance. We define the Ladyzhenskaya–Lions exponent α l ( n )=(2+ n )/4 for Navier–Stokes equations with dissipation −(− Δ ) α in , for all n ≥2. We review the proof of strong global solvability when α ≥ α l ( n ), given smooth initial data. If the corresponding Euler equations for n >2 were to allow uncontrolled growth of the enstrophy , then no globally controlled coercive quantity is currently known to exist that can regularize solutions of the Navier–Stokes equations for α < α l ( n ). The energy is critical under scale transformations only for α = α l ( n )." @default.
- W4249564657 created "2022-05-12" @default.
- W4249564657 creator A5014553407 @default.
- W4249564657 creator A5078635156 @default.
- W4249564657 date "2011-01-28" @default.
- W4249564657 modified "2023-09-26" @default.
- W4249564657 title "Hydrodynamics at the smallest scales: a solvability criterion for Navier–Stokes equations in high dimensions" @default.
- W4249564657 cites W1991904673 @default.
- W4249564657 cites W2043627769 @default.
- W4249564657 cites W2051701239 @default.
- W4249564657 cites W2055520805 @default.
- W4249564657 cites W2107488476 @default.
- W4249564657 cites W2136126350 @default.
- W4249564657 cites W2155141409 @default.
- W4249564657 cites W2156640621 @default.
- W4249564657 cites W2583693034 @default.
- W4249564657 cites W2963839880 @default.
- W4249564657 cites W2964128815 @default.
- W4249564657 doi "https://doi.org/10.1098/rsta.2010.0257" @default.
- W4249564657 hasPublicationYear "2011" @default.
- W4249564657 type Work @default.
- W4249564657 citedByCount "1" @default.
- W4249564657 crossrefType "journal-article" @default.
- W4249564657 hasAuthorship W4249564657A5014553407 @default.
- W4249564657 hasAuthorship W4249564657A5078635156 @default.
- W4249564657 hasConcept C105795698 @default.
- W4249564657 hasConcept C121332964 @default.
- W4249564657 hasConcept C134306372 @default.
- W4249564657 hasConcept C135402231 @default.
- W4249564657 hasConcept C138885662 @default.
- W4249564657 hasConcept C140820882 @default.
- W4249564657 hasConcept C158622935 @default.
- W4249564657 hasConcept C178944513 @default.
- W4249564657 hasConcept C186370098 @default.
- W4249564657 hasConcept C200114574 @default.
- W4249564657 hasConcept C2778755073 @default.
- W4249564657 hasConcept C2780388253 @default.
- W4249564657 hasConcept C2781278361 @default.
- W4249564657 hasConcept C28826006 @default.
- W4249564657 hasConcept C33923547 @default.
- W4249564657 hasConcept C38409319 @default.
- W4249564657 hasConcept C41895202 @default.
- W4249564657 hasConcept C62520636 @default.
- W4249564657 hasConcept C62884695 @default.
- W4249564657 hasConcept C84655787 @default.
- W4249564657 hasConcept C97355855 @default.
- W4249564657 hasConceptScore W4249564657C105795698 @default.
- W4249564657 hasConceptScore W4249564657C121332964 @default.
- W4249564657 hasConceptScore W4249564657C134306372 @default.
- W4249564657 hasConceptScore W4249564657C135402231 @default.
- W4249564657 hasConceptScore W4249564657C138885662 @default.
- W4249564657 hasConceptScore W4249564657C140820882 @default.
- W4249564657 hasConceptScore W4249564657C158622935 @default.
- W4249564657 hasConceptScore W4249564657C178944513 @default.
- W4249564657 hasConceptScore W4249564657C186370098 @default.
- W4249564657 hasConceptScore W4249564657C200114574 @default.
- W4249564657 hasConceptScore W4249564657C2778755073 @default.
- W4249564657 hasConceptScore W4249564657C2780388253 @default.
- W4249564657 hasConceptScore W4249564657C2781278361 @default.
- W4249564657 hasConceptScore W4249564657C28826006 @default.
- W4249564657 hasConceptScore W4249564657C33923547 @default.
- W4249564657 hasConceptScore W4249564657C38409319 @default.
- W4249564657 hasConceptScore W4249564657C41895202 @default.
- W4249564657 hasConceptScore W4249564657C62520636 @default.
- W4249564657 hasConceptScore W4249564657C62884695 @default.
- W4249564657 hasConceptScore W4249564657C84655787 @default.
- W4249564657 hasConceptScore W4249564657C97355855 @default.
- W4249564657 hasIssue "1935" @default.
- W4249564657 hasLocation W42495646571 @default.
- W4249564657 hasOpenAccess W4249564657 @default.
- W4249564657 hasPrimaryLocation W42495646571 @default.
- W4249564657 hasRelatedWork W10764281 @default.
- W4249564657 hasRelatedWork W11331311 @default.
- W4249564657 hasRelatedWork W19301735 @default.
- W4249564657 hasRelatedWork W38334307 @default.
- W4249564657 hasRelatedWork W40043100 @default.
- W4249564657 hasRelatedWork W43348657 @default.
- W4249564657 hasRelatedWork W48750507 @default.
- W4249564657 hasRelatedWork W49677319 @default.
- W4249564657 hasRelatedWork W49933673 @default.
- W4249564657 hasRelatedWork W51206810 @default.
- W4249564657 hasVolume "369" @default.
- W4249564657 isParatext "false" @default.
- W4249564657 isRetracted "false" @default.
- W4249564657 workType "article" @default.