Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297841282> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W4297841282 abstract "Motivated by applications to vortex rings, we study the Cauchy problem for the three-dimensional axisymmetric Navier-Stokes equations without swirl, using scale invariant function spaces. If the axisymmetric vorticity is integrable with respect to the two-dimensional measure dr dz, where (r,theta,z) denote the cylindrical coordinates in R^3, we show the existence of a unique global solution, which converges to zero in L^1 norm as time goes to infinity. The proof of local well-posedness follows exactly the same lines as in the two-dimensional case, and our approach emphasizes the similarity between both situations. The solutions we construct have infinite energy in general, so that energy dissipation cannot be invoked to control the long-time behavior. We also treat the more general case where the initial vorticity is a finite measure whose atomic part is small enough compared to viscosity. Such data include point masses, which correspond to vortex filaments in the three-dimensional picture." @default.
- W4297841282 created "2022-10-01" @default.
- W4297841282 creator A5045887742 @default.
- W4297841282 creator A5065688870 @default.
- W4297841282 date "2015-10-05" @default.
- W4297841282 modified "2023-09-25" @default.
- W4297841282 title "Remarks on the Cauchy problem for the axisymmetric Navier-Stokes equations" @default.
- W4297841282 doi "https://doi.org/10.48550/arxiv.1510.01036" @default.
- W4297841282 hasPublicationYear "2015" @default.
- W4297841282 type Work @default.
- W4297841282 citedByCount "0" @default.
- W4297841282 crossrefType "posted-content" @default.
- W4297841282 hasAuthorship W4297841282A5045887742 @default.
- W4297841282 hasAuthorship W4297841282A5065688870 @default.
- W4297841282 hasBestOaLocation W42978412821 @default.
- W4297841282 hasConcept C121332964 @default.
- W4297841282 hasConcept C134306372 @default.
- W4297841282 hasConcept C135402231 @default.
- W4297841282 hasConcept C140820882 @default.
- W4297841282 hasConcept C153635880 @default.
- W4297841282 hasConcept C17744445 @default.
- W4297841282 hasConcept C190470478 @default.
- W4297841282 hasConcept C191795146 @default.
- W4297841282 hasConcept C199539241 @default.
- W4297841282 hasConcept C200114574 @default.
- W4297841282 hasConcept C2524010 @default.
- W4297841282 hasConcept C26955809 @default.
- W4297841282 hasConcept C33026886 @default.
- W4297841282 hasConcept C33923547 @default.
- W4297841282 hasConcept C37914503 @default.
- W4297841282 hasConcept C97355855 @default.
- W4297841282 hasConceptScore W4297841282C121332964 @default.
- W4297841282 hasConceptScore W4297841282C134306372 @default.
- W4297841282 hasConceptScore W4297841282C135402231 @default.
- W4297841282 hasConceptScore W4297841282C140820882 @default.
- W4297841282 hasConceptScore W4297841282C153635880 @default.
- W4297841282 hasConceptScore W4297841282C17744445 @default.
- W4297841282 hasConceptScore W4297841282C190470478 @default.
- W4297841282 hasConceptScore W4297841282C191795146 @default.
- W4297841282 hasConceptScore W4297841282C199539241 @default.
- W4297841282 hasConceptScore W4297841282C200114574 @default.
- W4297841282 hasConceptScore W4297841282C2524010 @default.
- W4297841282 hasConceptScore W4297841282C26955809 @default.
- W4297841282 hasConceptScore W4297841282C33026886 @default.
- W4297841282 hasConceptScore W4297841282C33923547 @default.
- W4297841282 hasConceptScore W4297841282C37914503 @default.
- W4297841282 hasConceptScore W4297841282C97355855 @default.
- W4297841282 hasLocation W42978412821 @default.
- W4297841282 hasOpenAccess W4297841282 @default.
- W4297841282 hasPrimaryLocation W42978412821 @default.
- W4297841282 hasRelatedWork W1982696373 @default.
- W4297841282 hasRelatedWork W2017916037 @default.
- W4297841282 hasRelatedWork W2069788312 @default.
- W4297841282 hasRelatedWork W2073715736 @default.
- W4297841282 hasRelatedWork W2076312320 @default.
- W4297841282 hasRelatedWork W2145707699 @default.
- W4297841282 hasRelatedWork W2267244296 @default.
- W4297841282 hasRelatedWork W2751344667 @default.
- W4297841282 hasRelatedWork W3098092279 @default.
- W4297841282 hasRelatedWork W4297841282 @default.
- W4297841282 isParatext "false" @default.
- W4297841282 isRetracted "false" @default.
- W4297841282 workType "article" @default.