Matches in SemOpenAlex for { <https://semopenalex.org/work/W1498211808> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W1498211808 endingPage "1490" @default.
- W1498211808 startingPage "1481" @default.
- W1498211808 abstract "We are concerned here with steady, inviscid flows in two dimensions which have concentrated regions of vorticity. In particular, we study such flows which {open_quotes}desingularize{close_quotes} a configuration of point vortices in stable equilibrium with an irrotational flow. The vorticity functions in these flows are obtained as solutions of a variational problem for energy set in classes of rearrangements of fixed functions. It is inherent in the formulation of this problem that constraining sets which isolate different t regions of vorticity must be introduced. The existence of solutions of the variational problem follows from results of Burton, but in order for this to provide a flow with a continuous pressure, additional properties must be established. The simplest way to accomplish this is to show that the support of the vorticity is bounded away from the boundary of the constraining set. The major step in our analysis is a {open_quotes}local support lemma{close_quotes} which shows that this is possible under certain circumstances. This generalizes our earlier work for one vortex which in turn builds on results of Turkington. As we show below, it follows from the theory of Burton that for each vortex region {Omega}{sub i} there is a profile function {phi}{sub i}more » such that the vorticity {omega}{sub i} on that region satisfies {omega}{sub i} = {phi}, {omicron} {psi}, where {psi} is the stream function for the flow. Turkington and Eydeland have given an iterative method for computing vortex flows with multiple vortex regions when the profile functions, rather than rearrangement classes, are prescribed in advance. 14 refs, 4 figs.« less" @default.
- W1498211808 created "2016-06-24" @default.
- W1498211808 creator A5025511346 @default.
- W1498211808 creator A5015565312 @default.
- W1498211808 date "1995-01-01" @default.
- W1498211808 modified "2023-10-17" @default.
- W1498211808 title "Rearrangements in steady multiple vortex flows" @default.
- W1498211808 cites W1980445664 @default.
- W1498211808 cites W2009403598 @default.
- W1498211808 cites W2041917598 @default.
- W1498211808 cites W2059691390 @default.
- W1498211808 cites W2274538071 @default.
- W1498211808 cites W4250460145 @default.
- W1498211808 cites W4292360407 @default.
- W1498211808 cites W56984226 @default.
- W1498211808 doi "https://doi.org/10.1080/03605309508821141" @default.
- W1498211808 hasPublicationYear "1995" @default.
- W1498211808 type Work @default.
- W1498211808 sameAs 1498211808 @default.
- W1498211808 citedByCount "28" @default.
- W1498211808 countsByYear W14982118082013 @default.
- W1498211808 countsByYear W14982118082017 @default.
- W1498211808 countsByYear W14982118082018 @default.
- W1498211808 countsByYear W14982118082019 @default.
- W1498211808 countsByYear W14982118082020 @default.
- W1498211808 countsByYear W14982118082021 @default.
- W1498211808 countsByYear W14982118082022 @default.
- W1498211808 countsByYear W14982118082023 @default.
- W1498211808 crossrefType "journal-article" @default.
- W1498211808 hasAuthorship W1498211808A5015565312 @default.
- W1498211808 hasAuthorship W1498211808A5025511346 @default.
- W1498211808 hasConcept C121332964 @default.
- W1498211808 hasConcept C134306372 @default.
- W1498211808 hasConcept C140820882 @default.
- W1498211808 hasConcept C33923547 @default.
- W1498211808 hasConcept C57879066 @default.
- W1498211808 hasConceptScore W1498211808C121332964 @default.
- W1498211808 hasConceptScore W1498211808C134306372 @default.
- W1498211808 hasConceptScore W1498211808C140820882 @default.
- W1498211808 hasConceptScore W1498211808C33923547 @default.
- W1498211808 hasConceptScore W1498211808C57879066 @default.
- W1498211808 hasIssue "9-10" @default.
- W1498211808 hasLocation W14982118081 @default.
- W1498211808 hasOpenAccess W1498211808 @default.
- W1498211808 hasPrimaryLocation W14982118081 @default.
- W1498211808 hasRelatedWork W1531601525 @default.
- W1498211808 hasRelatedWork W1979597421 @default.
- W1498211808 hasRelatedWork W2758277628 @default.
- W1498211808 hasRelatedWork W2935909890 @default.
- W1498211808 hasRelatedWork W2948807893 @default.
- W1498211808 hasRelatedWork W3173606202 @default.
- W1498211808 hasRelatedWork W3183948672 @default.
- W1498211808 hasRelatedWork W4387497383 @default.
- W1498211808 hasRelatedWork W2778153218 @default.
- W1498211808 hasRelatedWork W3110381201 @default.
- W1498211808 hasVolume "20" @default.
- W1498211808 isParatext "false" @default.
- W1498211808 isRetracted "false" @default.
- W1498211808 magId "1498211808" @default.
- W1498211808 workType "article" @default.