Matches in SemOpenAlex for { <https://semopenalex.org/work/W4221057333> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W4221057333 endingPage "133258" @default.
- W4221057333 startingPage "133258" @default.
- W4221057333 abstract "For the three dimensional axisymmetric Euler flow, we construct a family of solutions with multiple travelling vortex rings, with large speed of order O(|lnɛ|), where ɛ>0 is a small parameter. Our construction is based on the analysis of the following nonlinear elliptic equation: ∂rrψ+3r∂rψ+∂zzψ=−F((ψ−α2|lnɛ|)r2),(r,z)∈R2,ψr(0,z)=0forr=0,for some special functions F, where α is a parameter. The location of the vortex rings is governed by some balancing systems, which can be solved by the polynomial method in several special cases. For the non-swirl case, in the core of each vortex ring, our solutions can be regarded as a rescaled finite mass solution of the Liouville equation. The results can be generalized directly to the case with swirl, for which we also construct different types of solutions with multiple vortex rings." @default.
- W4221057333 created "2022-04-03" @default.
- W4221057333 creator A5057351789 @default.
- W4221057333 creator A5057643935 @default.
- W4221057333 creator A5069152649 @default.
- W4221057333 date "2022-06-01" @default.
- W4221057333 modified "2023-10-17" @default.
- W4221057333 title "Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows" @default.
- W4221057333 cites W1966865787 @default.
- W4221057333 cites W1971874153 @default.
- W4221057333 cites W1971994623 @default.
- W4221057333 cites W1989596720 @default.
- W4221057333 cites W2001014521 @default.
- W4221057333 cites W2007771487 @default.
- W4221057333 cites W2045520223 @default.
- W4221057333 cites W2053065715 @default.
- W4221057333 cites W2057178244 @default.
- W4221057333 cites W2061543546 @default.
- W4221057333 cites W2071068303 @default.
- W4221057333 cites W2073495747 @default.
- W4221057333 cites W2084597950 @default.
- W4221057333 cites W2086006282 @default.
- W4221057333 cites W2111843081 @default.
- W4221057333 cites W2155454253 @default.
- W4221057333 cites W2174390892 @default.
- W4221057333 cites W2800502213 @default.
- W4221057333 cites W2901359058 @default.
- W4221057333 cites W3100005401 @default.
- W4221057333 cites W3100774931 @default.
- W4221057333 cites W3121215195 @default.
- W4221057333 cites W3121363350 @default.
- W4221057333 cites W3135776917 @default.
- W4221057333 cites W3174708015 @default.
- W4221057333 cites W2079856024 @default.
- W4221057333 doi "https://doi.org/10.1016/j.physd.2022.133258" @default.
- W4221057333 hasPublicationYear "2022" @default.
- W4221057333 type Work @default.
- W4221057333 citedByCount "4" @default.
- W4221057333 countsByYear W42210573332022 @default.
- W4221057333 countsByYear W42210573332023 @default.
- W4221057333 crossrefType "journal-article" @default.
- W4221057333 hasAuthorship W4221057333A5057351789 @default.
- W4221057333 hasAuthorship W4221057333A5057643935 @default.
- W4221057333 hasAuthorship W4221057333A5069152649 @default.
- W4221057333 hasConcept C121332964 @default.
- W4221057333 hasConcept C134306372 @default.
- W4221057333 hasConcept C140820882 @default.
- W4221057333 hasConcept C158622935 @default.
- W4221057333 hasConcept C168475990 @default.
- W4221057333 hasConcept C2524010 @default.
- W4221057333 hasConcept C33026886 @default.
- W4221057333 hasConcept C33923547 @default.
- W4221057333 hasConcept C38349280 @default.
- W4221057333 hasConcept C38409319 @default.
- W4221057333 hasConcept C57879066 @default.
- W4221057333 hasConcept C62520636 @default.
- W4221057333 hasConcept C62884695 @default.
- W4221057333 hasConcept C84655787 @default.
- W4221057333 hasConcept C90119067 @default.
- W4221057333 hasConceptScore W4221057333C121332964 @default.
- W4221057333 hasConceptScore W4221057333C134306372 @default.
- W4221057333 hasConceptScore W4221057333C140820882 @default.
- W4221057333 hasConceptScore W4221057333C158622935 @default.
- W4221057333 hasConceptScore W4221057333C168475990 @default.
- W4221057333 hasConceptScore W4221057333C2524010 @default.
- W4221057333 hasConceptScore W4221057333C33026886 @default.
- W4221057333 hasConceptScore W4221057333C33923547 @default.
- W4221057333 hasConceptScore W4221057333C38349280 @default.
- W4221057333 hasConceptScore W4221057333C38409319 @default.
- W4221057333 hasConceptScore W4221057333C57879066 @default.
- W4221057333 hasConceptScore W4221057333C62520636 @default.
- W4221057333 hasConceptScore W4221057333C62884695 @default.
- W4221057333 hasConceptScore W4221057333C84655787 @default.
- W4221057333 hasConceptScore W4221057333C90119067 @default.
- W4221057333 hasFunder F4320321001 @default.
- W4221057333 hasFunder F4320334593 @default.
- W4221057333 hasFunder F4320335777 @default.
- W4221057333 hasFunder F4320335787 @default.
- W4221057333 hasLocation W42210573331 @default.
- W4221057333 hasOpenAccess W4221057333 @default.
- W4221057333 hasPrimaryLocation W42210573331 @default.
- W4221057333 hasRelatedWork W1486458157 @default.
- W4221057333 hasRelatedWork W1864403299 @default.
- W4221057333 hasRelatedWork W1976813606 @default.
- W4221057333 hasRelatedWork W2016663457 @default.
- W4221057333 hasRelatedWork W2405498069 @default.
- W4221057333 hasRelatedWork W2972300693 @default.
- W4221057333 hasRelatedWork W4213205870 @default.
- W4221057333 hasRelatedWork W4221057333 @default.
- W4221057333 hasRelatedWork W4288235425 @default.
- W4221057333 hasRelatedWork W4288621340 @default.
- W4221057333 hasVolume "434" @default.
- W4221057333 isParatext "false" @default.
- W4221057333 isRetracted "false" @default.
- W4221057333 workType "article" @default.