Pith. sign in

Paper Citation Record · LEDGER

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl

As of 17 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 2 inbound Pith citation observations for arXiv:2412.10725.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.10725 v1

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:51:21.160293Z

measured 67 of 67 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:22:41.913031Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T07:26:02.562240Z

Reference resolution

65 of 65 outbound references displayed

  • verified exact0
  • verified fuzzy58
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3f7b576e-8468-4585-b5b4-4fca9dcdea37 · outbound

This paper cites Abe, Existence of vortex rings in Beltrami flows.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Abe, Existence of vortex rings in Beltrami flows

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.778422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.597701Z digest=sha256:2890d5f3da283f5f69bf97213bb49328cd4ea28a45e629fbdee74ef8ea8e2912

Observation 75b3fdc7-bdc4-4e04-ac1c-97aa71f80b05 · outbound

This paper cites Abidi and S.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Abidi and S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.757491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.606117Z digest=sha256:3722aab76b6e946193764889a94a4aec3462d3d13156b311588069c4579e1cf2

Observation e79b38ef-83b8-4c3f-b908-20c54df6075e · outbound

This paper cites an unresolved cited work.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:51:22.734698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.613228Z digest=sha256:2f96b7f98a34c5feaa7bb244ef71fa26330d12faec5fde4369176b8e0e941981

Observation 643f9e99-5ed2-4198-b1fe-5469119ef4d4 · outbound

This paper cites Arms and F.R.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Arms and F.R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.714510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.623851Z digest=sha256:d61eb93d90777624e8b46e794cd7f35569174e1fe3a005c89f2739312d848ed5

Observation 0ec2e97a-bfdf-47c9-826b-19979d47ee27 · outbound

This paper cites Bronzi, M.C.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Bronzi, M.C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.696157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.633326Z digest=sha256:847b42f011dfcb420408223915d0c72bb6f00138ac4d3f1d4baa5dca5e787056

Observation 675ca8bd-c7a2-464d-a659-a74dd7099458 · outbound

This paper cites Burchard and Y.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Burchard and Y

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.672703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.652737Z digest=sha256:1f586f49ec23a88b20382fa3827b2739fdd7b5a8e5b1234bee2784f18e29b3c8

Observation 5484b2ca-6033-4047-aba1-1efd506a9582 · outbound

This paper cites Caffarelli and A.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Caffarelli and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.655169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.667406Z digest=sha256:2de03a02158fc166a26f624159e270213d7e311b637ef1103c1f093b09348cf9

Observation a3e46abe-6879-4518-9967-151200c06cdb · outbound

This paper cites an unresolved cited work.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:51:22.635756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.673848Z digest=sha256:24dfb2da8240da566971be0af2f9a6d1753fe6c4f814dc1eab66701852efcc06

Observation b24188f5-c8c0-42ba-b6e1-441d18b38656 · outbound

This paper cites Cao and S.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Cao and S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.617293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.684074Z digest=sha256:520a9e3338e6c7cb89f37391a787781b37eff8886003f0383872ebb0bf47012a

Observation cba2a55b-c181-47e9-92af-c0c88b3a58b9 · outbound

This paper cites an unresolved cited work.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:51:22.594475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.693669Z digest=sha256:dfc6246beaad6c3ef0cf9f30b646a2a09272d0bf091913d9addc97c9c36b96d8

Observation 3e065482-6824-4ad0-b36d-886bfc40afc5 · outbound

This paper cites an unresolved cited work.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:51:22.570988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.699406Z digest=sha256:61343588a93bf7d9ed94d0e2a6680a5f2ad956701b0e888fedb75e3ea24e8853

Observation 3ac3fa03-70df-4188-a34a-6c9a17821a6e · outbound

This paper cites an unresolved cited work.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:51:22.547256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.709209Z digest=sha256:5ebe994ef8512fa5fe4fbc108ad5c8f27534a1030fd5e8af33685ff08e09846b

Observation 4528135e-fd43-40db-80a5-b49a4240f85c · outbound

This paper cites Cao and J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Cao and J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.525851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.717675Z digest=sha256:5817eec9d547cdf9fff58f5dfca9a85148216135ea10cde090bcb7cb2bcb7a6c

Observation c62ef2d4-9200-459d-a24b-ba8a0684e271 · outbound

This paper cites Cao and J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Cao and J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.505395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.726946Z digest=sha256:5f30ad275f302ee946438cb1faadbe0757e7d188ff934101198f8b8ff87da431

Observation 81d7f330-9413-43a0-a33f-b06eb239ac56 · outbound

This paper cites an unresolved cited work.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:51:22.484558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.735753Z digest=sha256:5b8b2e5d428bca25ebe5e6277dc9bc98e4e03ee54d7b2329d19ff9004da22acf

Observation c34f53d2-29b8-42f1-9966-1ece108e3524 · outbound

This paper cites Cao and W.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Cao and W

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.463595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.745061Z digest=sha256:22d1857ad5da1d2907bbffa912e332130202f83c83425f58b874c480fbb97e6b

Observation 182cf44f-a8aa-4d98-8266-4f9c4de422d2 · outbound

This paper cites Chiron, Vortex helices for the Gross-Pitaevskii equ ation, J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Chiron, Vortex helices for the Gross-Pitaevskii equ ation, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.440764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.762444Z digest=sha256:8bd96b81b7dc44b9c7ec23e0bed4d0c4c761140cdbf7777c2ab8c9a88c6e2937

Observation 593598d9-1918-4c3a-920c-e67832ef4e41 · outbound

This paper cites Da Rios, Sul moto d’un liquido indefinito con un filet to vorticoso di forma qualunque, Rendiconti del Circolo Matematico di Palermo (1884-1940) , 22 (1906), no.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Da Rios, Sul moto d’un liquido indefinito con un filet to vorticoso di forma qualunque, Rendiconti del Circolo Matematico di Palermo (1884-1940) , 22 (1906), no

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.418692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.769665Z digest=sha256:45818c6a58be030205316e3fd05790f0ed8a83b8ddeff8231f8f346a92c56511

Observation 97b25b4a-32d4-454c-9ed5-2b2e2e8dbf13 · outbound

This paper cites Dávila, M.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Dávila, M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.400501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.775886Z digest=sha256:ca42ed71b82c85754be60124df14e3d9b53c0b8b178e96948dd59dbc48d48c37

Observation 5095f6c2-5ba8-4bf0-9fd7-5ac7b9002a7e · outbound

This paper cites Dávila, M.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Dávila, M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.381343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.782782Z digest=sha256:d4f49ae9f574e3854e2ff7c660927fde6b2e57fcb92091528e1ec6e7c931c8e4

Observation bc23e761-b934-4352-aafc-e2f7159ca0cd · outbound

This paper cites D ´avila, M.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl D ´avila, M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.361950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.790736Z digest=sha256:d61e75a5da08a3ec4855a2c53a9aca903827e7b6e5d80849b5748d641cd80b80

Observation 5f7b1370-9f4e-4fb3-9e48-f8b997fec958 · outbound

This paper cites D ´avila, M.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl D ´avila, M

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.340085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.799610Z digest=sha256:6dbf31f26a26911f8d181bc493cd510e7e7c671ad5361f69b36a714bb3a4bc1c

Observation 7bc9771d-b8ec-41b9-8d48-ba9df7c0c9b9 · outbound

This paper cites de Valeriola and J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl de Valeriola and J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.317890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.810282Z digest=sha256:2af53f6f0b868a2d23e8cb28381e48cb4cc131e411917dde8cb757e96859f269

Observation a5b564c1-5ae4-4a4d-bb67-3f5f8de8f05f · outbound

This paper cites Dutrifoy, Existence globale en temps de solutions h ´elico¨idales des ´equations d’Euler, C.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Dutrifoy, Existence globale en temps de solutions h ´elico¨idales des ´equations d’Euler, C

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.299036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.817153Z digest=sha256:c8455b3030f3110c417c1c6df2bd45069057eca966f8be83537190c7a09ad4e0

Observation 3534e963-4418-4a20-88f4-9417bae5aeaa · outbound

This paper cites Enciso and D.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Enciso and D

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.278366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.827471Z digest=sha256:4fb6fee8ffa6cb3a83fbe50dd8b30234d03ba4d2f376cddf7f486c0ed8fe3cd5

Observation 5cffc3ad-c8f3-4e46-872a-ed2431423e9d · outbound

This paper cites Enciso and D.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Enciso and D

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.257529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.836385Z digest=sha256:4f4b81486a8018ccfe8a63642bd6625a97f0976f7f62baa4cabed93546b8cb23

Observation 8b09f7e9-3929-4dcd-8a9f-6d6367cd21c8 · outbound

This paper cites Ettinger and E.S.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Ettinger and E.S

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.231456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.843286Z digest=sha256:5981cc57d5aa1aa94b7feb9a6cac13934f7abc112bafa8dc2e34b7540b220194

Observation 5a37c0a4-3342-48e5-a23a-f2d25d099c5b · outbound

This paper cites Fraenkel, On steady vortex rings of small cross-se ction in an ideal fluid, Proc.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Fraenkel, On steady vortex rings of small cross-se ction in an ideal fluid, Proc

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.210969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.852395Z digest=sha256:191b3bde8aae00081fdd058f79f886d35fb587cc51534ce608ff61b70fa85f23

Observation bf4b065e-698c-496c-a930-cf69f0f56d9e · outbound

This paper cites Fraenkel, Examples of steady vortex rings of small cross-section in an ideal fluid, J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Fraenkel, Examples of steady vortex rings of small cross-section in an ideal fluid, J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.180088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.860394Z digest=sha256:d37a363eac1f787ec1de7f572fa1691a9775e5b95bd95b6e83da8046d3781b30

Observation b74dfbaa-cd51-4938-b0a1-cc4397393f34 · outbound

This paper cites Fraenkel and M.S.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Fraenkel and M.S

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.152772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.868315Z digest=sha256:86c09b4e8e1f55f4fce3ccebd6448449b56a135f1020f5311446b5e87936a6b3

Observation bbda96a6-befe-4843-9de5-01d23ac922ce · outbound

This paper cites Friedman and B.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Friedman and B

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.126636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.878377Z digest=sha256:935e5a9779810bd8c1bc06ea85d6d9dc804da174a19ce688f02a19c4efa1b040

Observation 703a6e0f-810b-4ab7-a42a-09c6f207797f · outbound

This paper cites Fukumoto and T.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Fukumoto and T

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.106232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.883748Z digest=sha256:fd948d47dd6a5a510b13b2c01761a80696fdbd41db23b0d92a02c33b909b7d59

Observation 2330b43f-427d-40e3-a674-81dd96f8922d · outbound

This paper cites García, Vortex patches choreography for active scal ar equations, J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl García, Vortex patches choreography for active scal ar equations, J

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.087367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.892263Z digest=sha256:a6be170e79884c3568dd4d06505a525b536f2a3ae22b06878a6f3bb346199a52

Observation 5d9e3be1-1da4-4828-a76c-e36bfce10776 · outbound

This paper cites García, Kármán vortex street in incompressible fluid models, Nonlinearity, 33 (2020), no.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl García, Kármán vortex street in incompressible fluid models, Nonlinearity, 33 (2020), no

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.058653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.899169Z digest=sha256:642458c401343411c8304e94c01827bacfd0d3e89038cc06cf987e26a5a2f24c

Observation 648a433f-573b-49d9-ae46-f8fbb89f73ae · outbound

This paper cites Gilbarg and N.S.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Gilbarg and N.S

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:22.024787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.908449Z digest=sha256:b9f1298260335231e63de708e2d3788272f2df0e73382894b7d79a90b840a4ff

Observation c30ed00f-71a6-4db6-b8d9-d72b101c015f · outbound

This paper cites Guerra and M.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Guerra and M

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.994310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.917875Z digest=sha256:bb85372a04b8e6e12ab2c6ddd5197e9d70d14cc9a579a5a31682b29724a57aab

Observation e409f5c9-2408-45ff-94e2-49aaa2ab9863 · outbound

This paper cites Guo and L.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Guo and L

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.966855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.924994Z digest=sha256:fcab48bed5206f57ff0290b1a89c4abcfd1ed31d9cfa32c333968b2bcf316fa4

Observation a3f27379-cb68-4314-a916-999aeecd0710 · outbound

This paper cites Hassainia and M.H.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Hassainia and M.H

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.936601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.931819Z digest=sha256:cc8942bdbc21badc830da7beaacae0847fbf2bab16b4c4b70e1faf34679d4f59

Observation 8af6714f-c2da-4b50-9d2a-5bebb6383e3f · outbound

This paper cites Hassainia and T.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Hassainia and T

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.893116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.939889Z digest=sha256:13bcba08ce491ab2c201192e026f02f4e73021fe699e3b5ffccc519f6cedcbac

Observation 7ce9ecb4-18b1-4d61-9978-21ab1ba7c370 · outbound

This paper cites Helmholtz, On integrals of the hydrodynamics equati ons which express vortex motion, J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Helmholtz, On integrals of the hydrodynamics equati ons which express vortex motion, J

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.868115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.945907Z digest=sha256:eba3e5f12140352e63f4d6d46ee5a88e129ef9e089a794823281f34d9c6e9916

Observation 8e1980a3-75f6-41ce-814a-d1f5dacb9dbb · outbound

This paper cites Hmidi and J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Hmidi and J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.841531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.956583Z digest=sha256:fbeefd681a6c54105e304189d23338e9491593b5ec2ea7233e0a2a2906d3776a

Observation 09d09287-7754-43dc-a71e-02b7cac8f62f · outbound

This paper cites Jerrard and C.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Jerrard and C

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.817359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.964257Z digest=sha256:c249d459c3e5c5ff19ab148cccceef0d60e70973d484f8d7199ab9e7047fab69

Observation 4d00e98a-02d1-4a5c-8e51-c87986ecafd7 · outbound

This paper cites Jerrard and D.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Jerrard and D

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.793002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.970203Z digest=sha256:2fc79e0d1674072477fee323dad2df2b73e68215973591324fe07770b42657df

Observation 526e3867-afb6-46b3-9cfe-ba4395084e5b · outbound

This paper cites an unresolved cited work.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-11T15:51:21.765856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.977471Z digest=sha256:ec6a923c4a8e19cbc333b2e4a862076f446e8014116e7dfe628f2967b3ef22e8

Observation 7ef4a5e8-229f-4bcd-90ee-4936d328d7bd · outbound

This paper cites Jiu, M.C.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Jiu, M.C

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.738176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:20.990037Z digest=sha256:f50318b92de19219b606d52dbd4809f0ddbbd0cba5c8cfef0bb0270fcea4c17c

Observation 77881854-2483-485b-a10a-0373a0f619bc · outbound

This paper cites Keener, Knotted vortex filaments in an ideal fluid, J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Keener, Knotted vortex filaments in an ideal fluid, J

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.699396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.000292Z digest=sha256:531796e3976e04cf980f23228e3f8b1b9e44fcec99cb50854be64f63bf2436d5

Observation cced223b-d346-4f1a-985e-134bf079b3b6 · outbound

This paper cites Lamb, Hydrodynamics, Cambridge Mathematical Libra ry, 6th edn.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Lamb, Hydrodynamics, Cambridge Mathematical Libra ry, 6th edn

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.675150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.005503Z digest=sha256:08bd3724a8fa095e6fb822dfe0544ec13ab8b16c39c6e3882dae579db5737c01

Observation 6955dba2-3adc-4fa0-b8c3-3ddd641b5e1b · outbound

This paper cites Levi-Civita, Sull’attrazione esercitata da una lin ea materiale in punti prossimi alla linea stessa, Rend.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Levi-Civita, Sull’attrazione esercitata da una lin ea materiale in punti prossimi alla linea stessa, Rend

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.648805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.011855Z digest=sha256:fa1f8b4349f9189f0fdd939ff52439edb9829a3e309a9b7b2eca4feba4f23c75

Observation 278f4e0c-7bd9-4321-90ff-7543bf8ceebb · outbound

This paper cites Levi-Civita, Attrazione newtoniana dei tubi sottil i e vortici filiformi, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze Ser.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Levi-Civita, Attrazione newtoniana dei tubi sottil i e vortici filiformi, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze Ser

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.624686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.019183Z digest=sha256:bd882d56afe0cfa5ca14afa96790ad23a2a203e7741b77c272a32ff76b160cd2

Observation 8bacc3d9-307b-49f1-83b6-ada7d1e7ba74 · outbound

This paper cites Lieb and M.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Lieb and M

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.599215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.027225Z digest=sha256:87ed7e34b166179d766c43725e5146964ae6daa3acb757934ec2088d628e7185

Observation 2121c286-c5b7-4f97-934d-81b8d9c81648 · outbound

This paper cites Lopes Filho, A.L.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Lopes Filho, A.L

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.569291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.035606Z digest=sha256:a9f5cf3eb3210aa4581ae17bae86d63dfac452ae2650cfad803b94dfcb4e24a3

Observation 074f799c-056e-4235-99d0-5fc2a38107c2 · outbound

This paper cites Majda and A.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Majda and A

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.532861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.044804Z digest=sha256:2c7475f5fba74ff1aee666c1e089f1680687b1ef4866643142f190b23a922d39

Observation 5331e529-089d-48a6-a85f-2b38fca81898 · outbound

This paper cites Moore and P.G.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Moore and P.G

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.509171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.051612Z digest=sha256:3566e3807275a705f597c436c9c285950d1a71f0cdf2200963fa986e4f1bbac5

Observation 19142633-bc1a-4bad-99c4-fb60d94e0ae0 · outbound

This paper cites Ni, On the existence of global vortex rings, J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Ni, On the existence of global vortex rings, J

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.484809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.059310Z digest=sha256:015ce56540445af3c47b9b3a26a68dadf11152d5b956ed359421d10414ea4adc

Observation b51b0356-7221-4b92-a520-68e6027fa8b9 · outbound

This paper cites Norbury, A steady vortex ring close to Hill’s spheric al vortex, Proc.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Norbury, A steady vortex ring close to Hill’s spheric al vortex, Proc

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.459568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.069053Z digest=sha256:5e509079f3d7a84fe3bab1505585f2b1ee2feeb25a6c52c3307a24e7f8edcadd

Observation 48301c54-7017-4ce4-84ee-62b59b04b486 · outbound

This paper cites Ricca, Rediscovery of da rios equations, Nature, 352 (1991), no.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Ricca, Rediscovery of da rios equations, Nature, 352 (1991), no

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.438237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.074909Z digest=sha256:c9ee32e1a5a9378750f3f442373f306a995ae8c895a2edf7b0c6cad05645eb95

Observation db94ef02-278f-4899-ae93-c5959ffb1aeb · outbound

This paper cites Ricca, The contributions of Da Rios and Levi-Civit a to asymptotic potential theory and vortex filament dynamics, Fluid dyn.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Ricca, The contributions of Da Rios and Levi-Civit a to asymptotic potential theory and vortex filament dynamics, Fluid dyn

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.417427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.081413Z digest=sha256:a6622d9a922c29aebad4a69da822f418d8d57985863bce7c7278e8db184a1d41

Observation 7466d56d-30b6-48e9-be27-64d029f6331a · outbound

This paper cites Saffman, Vortex dynamics, Cambridge Monographs on Mechanics and Applied Mathematics, Cambridge University Press, New York, (1992).

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Saffman, Vortex dynamics, Cambridge Monographs on Mechanics and Applied Mathematics, Cambridge University Press, New York, (1992)

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.396829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.087049Z digest=sha256:43079c3a835e674a87c2eb6fd3ebc9ed6d1a9507fca42d803bd313609b973d51

Observation adb12bee-7c9e-41fc-966a-221f0979e2dd · outbound

This paper cites Smets and J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Smets and J

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.373210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.095924Z digest=sha256:3a0580163a7825e888e37cb495959350e2ab2ed6059219954303e19bfd1fd0c0

Observation 9a97c231-97ad-436c-a504-8c6479c13132 · outbound

This paper cites Thomson (Lord Kelvin), Vortex statics, Proc.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Thomson (Lord Kelvin), Vortex statics, Proc

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.345691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.105405Z digest=sha256:7f8eba71f838b795d80f5649b23b48c5907e7d21b8d1cffb219c277269439608

Observation 2cfc44ec-ddff-4f1e-af91-fe8baaedb921 · outbound

This paper cites Thomson (Lord Kelvin), Mathematical and Physical Pa pers, IV., Cambridge, (1910).

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Thomson (Lord Kelvin), Mathematical and Physical Pa pers, IV., Cambridge, (1910)

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.322946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.111875Z digest=sha256:a5127475fba1b2fbb0b873dbf1656a4f28273dd70f6674b41383a9a60f836b8e

Observation 06448ef7-b9df-4e94-ab99-4d1c4fb1e229 · outbound

This paper cites Turkington, On steady vortex flow in two dimensions.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Turkington, On steady vortex flow in two dimensions

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.302460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.127609Z digest=sha256:6e6c9389d8fd863d776d6f9803b90b0fe7b4fee2fc5c522d34f2b9e1251ada85

Observation 39142dcf-b358-47af-b9ea-86035b0c3a4f · outbound

This paper cites Turkington, Vortex rings with swirl: axisymmetric s olutions of the Euler equations with nonzero helicity, SIAM J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Turkington, Vortex rings with swirl: axisymmetric s olutions of the Euler equations with nonzero helicity, SIAM J

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.278533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.142756Z digest=sha256:304c6a2b6ff257b455c18b11bfcdcdd5f877105235118fa4846c36d8c1b31b87

Observation b085210d-8a27-42d3-ba84-eb988e95053d · outbound

This paper cites Wei and J.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Wei and J

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.257370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.153857Z digest=sha256:5eed379dbcac340d23ec3ec64f6eb66b81c733e89c05e09b5f4565fe79e36e04

Observation b26cc4cb-4913-4d76-b554-fda038f28863 · outbound

This paper cites Yang, Global vortex rings and asymptotic behaviour, Nonlinear Anal., 25 (1995), no.

On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl Yang, Global vortex rings and asymptotic behaviour, Nonlinear Anal., 25 (1995), no

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T15:51:21.228627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T15:51:21.160293Z digest=sha256:017b4f718548bbe73bcea93d6c9e8cdb16e5be14b4e1bd9e919d2babba1e297b

Pith citing papers

Observation 47675cfc-29e5-47bc-8fcf-e7b08146761d · inbound

Clustered vortex helices with compactly supported cross-sectional vorticity in the 3D Euler equations cites this paper.

Clustered vortex helices with compactly supported cross-sectional vorticity in the 3D Euler equations On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-05-11T07:26:02.564811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T17:11:04.356713Z digest=sha256:9c3be063a886b2d431040be169222b88e21f66d187e0937b1be3123830422ad3

Observation cb938f55-b31d-48d2-b914-d20c0b91ca19 · inbound

Piecewise smooth stationary Euler flows with support in a neighborhood of a helix cites this paper.

Piecewise smooth stationary Euler flows with support in a neighborhood of a helix On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-01T21:22:41.913031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:22:41.913031Z digest=sha256:41bcb909befda1be7645876b3d86776c1caacc024873771d401e9364afc1aa1d