Pith. sign in

Paper Citation Record · LEDGER

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

As of 14 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.597701Z digest=sha256:3fbcbaad6d0e30b970a7d333535e6ac02b18457c89eebf85d5696bda16682f37

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.606117Z digest=sha256:7fae2863d74024822807381d596d925d0ba6b91c85c74d6f92ae6709a50948a0

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.613228Z digest=sha256:e3d11371b4eb4708006648eede1b55a7f3c24c06062f1b1b1a89a904d0988940

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.623851Z digest=sha256:46881cf09d83076a54fde96155c79bc4eb1bc57bd0ef87c91010b1ab069cdade

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.633326Z digest=sha256:c317a9c940fd6daedb8d09089994d5a79aac20c0ab977d50b5ade7d26584d526

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.652737Z digest=sha256:566c856312ba196443e34c9cedf1f95d5b472252c3e3e0955f49df0b3c51ffe7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.667406Z digest=sha256:70011c663905e534aa295bd66a72c1cc254b7b412d954c95c20c73a99f9ce36f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.673848Z digest=sha256:3f965c5cbbe8b140acecdb5fd68ee8492f7a120ee2e91adb56f014a80ca76400

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.684074Z digest=sha256:d8e003a2b54f61e5b95f31cd4841310034ec47b7e402fcc7f48ca3a5798282cb

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.693669Z digest=sha256:cd95ebfaae53ffd449db120a0822ba91f8aaa7d2338492db59efd9169ea27116

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.699406Z digest=sha256:81d554a636ed3d0e3c0cbdf9dbbdd3a804572976e3b12e8fb04626d0f8e8ccf5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.709209Z digest=sha256:4e5e4630181e5d7e501a9ee15ab246139dfa47fa0327074c53df036858a9ce07

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.717675Z digest=sha256:81d46eef8f870f19918d13b6a3846478f1cf8296f53a1a6d552efa5ab57115a6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.726946Z digest=sha256:c9fd5b5f211f03b208b487049e92828ad1a0fcc3eb360c28000117d6c630fd39

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.735753Z digest=sha256:23eda7673d5919ce81f0febecf715b2ea9f68b5355fc8824aafdad016cf06db9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.745061Z digest=sha256:cca4e2d9d04bcc8f9588073b248e2da9dfa06236395b4920aef42352eeef49ff

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.762444Z digest=sha256:3ea7ae9deb39a58ebf76b9771d5fd83e196c08695bc61241ab7f77a071bec7db

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.769665Z digest=sha256:09d5f499f67ad030d3076b4f51856844746ce3906d627f93c0624afc0996dede

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.775886Z digest=sha256:39fe10c34e4e7ad8afe56ee627e848f80f96c46a46af3ba69e28c1406732289a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.782782Z digest=sha256:e450bad0d187997e4a6b9ec5bd40607f0a5e79b7c0f1e599ad5b6360395c6073

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.790736Z digest=sha256:cebdf18d8e79bb21a91ddb6672c428a389bd8cdd5f70a8b72781424dae92173d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.799610Z digest=sha256:70c1cdb4ec9112d24976e899326216e348525ffc750212fafdecbab0514d48d6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.810282Z digest=sha256:dd4c44f344bed92564b94262bd1b2d0b82ebef28ef501310fb04fd8591b75216

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.817153Z digest=sha256:5dec25b6a6cb847a7f09cc84dc7777627200d530fddaa3682d507ef53f9075b7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.827471Z digest=sha256:f1e9c7e69614aedeff2669cf5d781979aa9f4b00bf9953b210f94b592d3d4adb

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.836385Z digest=sha256:83b925fad166834c49aafe75b767a7677569cc62571de037772b452edba4ad76

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.843286Z digest=sha256:63096c792d9f4f8d9c54a897d55c6b12d82797707980cdf12ad4b341dd50660e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.852395Z digest=sha256:3b706ea8b635006cee69eea482083fac36212b8682bc723f6d30186743d0d92b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.860394Z digest=sha256:8481cd6b82de1603169b844f72cb06335db95a43b2dfb198166a16f77b11e697

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.868315Z digest=sha256:107610759191154ece99bd36f803a0ee7489ec0a727d3d4bac4f1a310c4dc2d4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.878377Z digest=sha256:4c7d64a9c28d3ebcf325c8427e95ab2c5e4d06a64f43c25dfea9770c569d3d1e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.883748Z digest=sha256:fbe98afb4020c76442b9fa304a9fe3ac54d1057fd4a9542bee40f284d72febd8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.892263Z digest=sha256:ff2313ec2a8867d9cf572c14880678565d5f855e84b59fcc318e828e96abb0eb

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.899169Z digest=sha256:485c8c7ee8936c5bddd4aad773eaa1f4696898fa23a1399b000c6efe8ac39c61

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.908449Z digest=sha256:589cbfcac1a58b6c5e64db883fb4231e6d9c8aff7f953f0dd8b98d995c442a89

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.917875Z digest=sha256:98b86ce84b2df95e182ea5b75402d5f6a8923b1a4942d940983fea91daee5cb3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.924994Z digest=sha256:ce3765e8f7a8c0e44797cb66085e092a089aba7f41ccb9f913787bc123d51455

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.931819Z digest=sha256:567b37d5dfe291c608fc0a5a1549bd182c64016e4d1f88708a5dd6ec74af7229

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.939889Z digest=sha256:14165ed67559e5ffbe3e8db83ef15b73f30ff8991947b8f630d0431316b83c4b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.945907Z digest=sha256:7f87f06db51fdb78e0fab9a58e6d7d57e8620cb5dff8e98a62043ce0df7d5ccb

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.956583Z digest=sha256:97ef35a64eee1bdbcee6b56e0d036bff78b186f5d7adff6609e9909b5236d8bd

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.964257Z digest=sha256:4bc35c9d2fbe99c9b5687b3c138befb513c19f4cbe36a5a5363bed573c8f12a8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.970203Z digest=sha256:004bad9e2eb8c9d51ddc1e15363d37cb4f99e668bce9370e5aefd146a7d194ba

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.977471Z digest=sha256:8b40110a96d1422c910d9655633220588a547db961fa424c20c3e3cafbbff258

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:20.990037Z digest=sha256:d5973680a860d5562e0d0c000af8be291d8d2cc9d8299a8b524e6f9f5d2fcad1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.000292Z digest=sha256:845f6d18f1372c36d2c280ed43b6751cdd5a86ec4ac15a835d4d747fc57dd4ab

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.005503Z digest=sha256:6acf757cdcf304ad9ecfbeed2911ad4220671e0e55b8c03763ee134ccb6d3003

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.011855Z digest=sha256:863d09c91bea1beaf55767dd084525d32bc8c9252ad75251c289c3ed607f1841

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.019183Z digest=sha256:8c6522c7523eeff914fb4a54c103d9ee87b39d1c6c2828c2276d49b3bb908529

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.027225Z digest=sha256:6de250541c7c4b1c806816c42da96eea28eca20f9f1ab4d22ee9dd68abfc8f4f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.035606Z digest=sha256:2153a46eaeacea5248b4d7c1483c7a33a36277283c31bc1ec35bc4ac72a599ef

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.044804Z digest=sha256:0b0058caee4c4f42312832013f2f7f514952bf931982c2036ee36d3ba97f9f29

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.051612Z digest=sha256:137002a1d61459b7fd67041e991a467f9d8727e39fd150ea97437034af97c290

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.059310Z digest=sha256:3921fe623f8f06dea6b7a7e24c4dc72f5ba061e51d828f0b8a4b663581a04b9a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.069053Z digest=sha256:cb82741c820bc68746227facaed8261f63cfb71bef15c9037b3326d2d900f830

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.074909Z digest=sha256:6311ce25aaca15e4c74714d521e781da658548fc28de7c835e3d887ab5f859e7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.081413Z digest=sha256:bc8903d8220ac5e61655c2ee65744c5da6a7805517eb46332c09045550b2a7e4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.087049Z digest=sha256:1d2da0c5dc93d78b9d66609c46ed54037334f131f867113da242f9e0d25495c2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.095924Z digest=sha256:98397373234ae1c5f1aedde36486acefe7b0437c33b857850c0e43b5fddb4a17

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.105405Z digest=sha256:3a4eacde53a4535846e0c657a4043a9c1d9ea84550765097d0e43e2d00d3df2a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.111875Z digest=sha256:d673e78533d59c6d5548990a9b323875c156b2c7fa9087fcc936861d16cb8e25

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.127609Z digest=sha256:aeffe8e2a8826fc5bd3e3c8d7fb2dba61f792ff1bd41f61bb6bfb3f96099bedc

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.142756Z digest=sha256:cfd5c37704625780e01a0a94347dcee2550772a7bdb735aa521d3f26729a4d4b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.153857Z digest=sha256:d96585db1a6ee269b12ae45841518f5271c8124b4415e3c26304f85a8e7332fa

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T15:51:21.160293Z digest=sha256:c6df0b080fe61f196d8d4f092f735904949643ef80f47969fe5763278e6e1d58

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T17:11:04.356713Z digest=sha256:e33b2a57fbdca069e2e44c58497a5a31a4a9ef9dae77d1125343fe876c37ff98

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:a7409fb0e57a3229cd55b84f9a193f0707ca5b9f1a3b846cfd9c2a311929d8dc