Pith. sign in

Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.597701Z digest=sha256:0dc081bcde569f27e3d08bcff3d43ae57de0ec741bccf6b1ff40f896e89e53f8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.606117Z digest=sha256:e615ff84d8da3416d892511675b44a178d2fe759b74f30dfbf01afca7f873e3f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.613228Z digest=sha256:9fde4f0f5b2a123efc09418de2142a340bef8f984bdae70dd7b33fac8544c055

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.623851Z digest=sha256:9e57517f6bb92394b2687a2ff1f60d2797f75c285fc7576a93665aac7314ac25

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.633326Z digest=sha256:5beaf9dbbf3d972ee5404749dd6db76458a9048d238a54d389c7b6b2ffc5d458

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.652737Z digest=sha256:d5f196ec026fc80ccfa386e916dcf581f470c87465d856745bcef65e9e8c729e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.667406Z digest=sha256:e728dfc2f9cd140c642abebbeb5cbfe9c9a77f004ad91a85a7b16c1d448e0c1e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.673848Z digest=sha256:27e4f524103bc901fc9d35aa4fbdfc49f36a596bc72c8cd7e56240f8a6f5017b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.684074Z digest=sha256:adf25c9fec1fe9d6a03c50a74898fc99724598d866b6015db44f21bdedce3ff7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.693669Z digest=sha256:bd540010024c81f58a8552b7701c881b1655124a7fc2a4e69a05f085614e244d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.699406Z digest=sha256:392a518abb960104454ed35acb88eaa53e36083af1be7b652be617c7a76c3cbd

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.709209Z digest=sha256:8f5da36c3e17bd3d1379d4a141d91f10d5a4edfc535ac9602d79d34ec46e2d09

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.717675Z digest=sha256:4b81285710de2f72deef110fa18551f7afe0720c16c22b1264f2de2bf1481edf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.726946Z digest=sha256:b8eb82957dc44f73007d9739a78570d68ee53886d256ed72fc6764c47ee515e2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.735753Z digest=sha256:52a2dc1dc2cb9296866d9de1493fcf8b75ca893e6ba0e2d2a6ff4edb456ecb76

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.745061Z digest=sha256:1328d68f128e4c677b36cfe06c32e7b5b71bcc95c1c7b05548bc89ab32aa7676

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.762444Z digest=sha256:3f6b650694c0d086b9a2e5b4bdee3fda307537c1372570654e3545e861637b5f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.769665Z digest=sha256:2e1bf1e3fdb713dce21b42875cd0055a0b1a182454fa0d504fdd622c5cc1fd14

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.775886Z digest=sha256:3cdcf1594a598043dc1e1dd1152fbeb1e13019991867d77f69dee338bfe0f77d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.782782Z digest=sha256:ef3a49b5aa524c3de7099e404324b49aa622acb1da0dc5fb1cf2a3f3fa74c81f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.790736Z digest=sha256:c216397255a12c8c641b7b4c88dbb41bc11eab338ecd2a35892c6227eef312c4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.799610Z digest=sha256:102f2b12dfd70b6b39f63b1c87062db03883ae74e14cf5f9410cd67a8badbfb7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.810282Z digest=sha256:1e715c94be8c61e9a85b0a3f524c71dbaad7b799f2975c98ed2e3a1b5e5e8a3e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.817153Z digest=sha256:6db91bbe91c9ec72bcc3741ad0c013da1e6493278b61d259e9c36e3ef77b2da5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.827471Z digest=sha256:f023bde29f5a00940b18f8c2093ad4e99c40fb31af5efcc465c5b696332a7dd0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.836385Z digest=sha256:1c429b473cc1cb608904f249d8e2761d8890afa35ceaaf6b8dd26182c1bc8d24

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.843286Z digest=sha256:8436b6b5411dfc0b900bf995d3d2bac3272817a972f3d72dff88fbcbd4dac56f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.852395Z digest=sha256:9e095294b7463f41c7c57f28269a1d60a7ff0ebe5b941826ab9c364e9c9d75c0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.860394Z digest=sha256:53b6e9e3f99704a034617d083f630ffe3d1624b350670aab85ac6db3146928d8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.868315Z digest=sha256:3788667a84a93180c0bd2a01a52aab6b452f72047b8c065d45c2b11f871cd754

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.878377Z digest=sha256:3eea6f75bba3dbde7bbcabdafa5f889b6ad9d78f326f7a9cb0661ff314698531

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.883748Z digest=sha256:a37c739d1e669078ad4b20caeba4c737e84eb0ee1bf328bc51a37dbfb6076962

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.892263Z digest=sha256:14648bc13a910b445ac43ff790d59886838a3be153606a53395a33a9be5db3f2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.899169Z digest=sha256:d1646c7523b8b7902e765cab73d0cfea2a2f0f73c2c3b5f878e10655df0fd43c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.908449Z digest=sha256:c020a0f87c8cbd76ebf8dbda16b8180d93934564db0718c7f43d92d0bc5ba6c7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.917875Z digest=sha256:079250d247e4b0f984f0907c7d6bc3bd4163548f388f0f9b0e6186d6a79b5926

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.924994Z digest=sha256:2d3addc39fa462de400bae5b693434ad67aa5d9272b27aad611b9451394f851c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.931819Z digest=sha256:228af4682dfd1e4d115272c8a3fdbf55e9fc5e8c3ce70ccead068db71c00f6f5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.939889Z digest=sha256:210cbbc5df175bacc6ccc242e4bc8db528cdd67d9b782b7e549fdc09191c74aa

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.945907Z digest=sha256:9aab0b883c6bab37f98d3b748e268aa6cb22d4c42a87a15e547e6cd6512b6d1a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.956583Z digest=sha256:72667e3d49d97285dd3be9bf26ce6779624298792b4a517938d6a2ef62db340c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.964257Z digest=sha256:657789574195874666b4aa02ebb3901c99c55c5a50125af168694805729f90ab

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.970203Z digest=sha256:64727c6dc7846908d6d01a8a7adb9e3b71792be0e465ef055e3ec961d0422525

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.977471Z digest=sha256:0fbb94bbed0c91a4903391732f10822b60cef81e17eaac00893b776b8870aeb2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:20.990037Z digest=sha256:4f2979506669608dc01f6eed3ab6b7ca07db54f8ee0ce01fed1b49616b86c628

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.000292Z digest=sha256:69d7a4348cbc0ce96c8a8b71abbbd74c06b4cfb88512a1dc904480ed81624b10

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.005503Z digest=sha256:936f4d6bd90579f7c6a3a88e5791d966d23a329b30804d4a07be38b07f7a8c7c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.011855Z digest=sha256:967c0e61520471a9bfa800ebeaa1cf3c777cfd7b046b5a2e51231363d9adfcf6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.019183Z digest=sha256:c404181203975186713e1faf894db4e1b08ff0327e0701fe23870e64cf7bfb14

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.027225Z digest=sha256:7d0d3fce9335cf91f2556f189fa562670df63d1719578a643e078f091546e6c0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.035606Z digest=sha256:b613692671595767320f7f43acb3efe4d58d74d0d01978aa4e3d8ea021c5d692

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.044804Z digest=sha256:357c2527490af3af20d4f1fe5aed30acb372425576fef87e6ff0b805a1072d18

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.051612Z digest=sha256:d29a08bf13f28fdc87393f5a145fd37f3bb811832274a7e872a21c437c4d4520

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.059310Z digest=sha256:1eebcfb3017bd576e21047aac935128f6b876481f009bbf365414b35716e22ef

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.069053Z digest=sha256:247212e024200e988f1759f189cb4bb2679b5589882bebce72ca23877d2c845a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.074909Z digest=sha256:7cee082942bc54113e49ba83b4fb03ccf07a2ddffe258d0df8551ec69561784c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.081413Z digest=sha256:c54bcb711da941dc9461260b278dc82861620ce8c05200f3ff50bb80b600736c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.087049Z digest=sha256:6778d7957ae8e7af65e19d68ec9e3c5e633c20b889e5b61363fb585991bddf8e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.095924Z digest=sha256:b4d62c97dfeb9f02d8f4df77f8d4aa247f02349be6aa7185fc8e16e9b5674d0b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.105405Z digest=sha256:0195c014f52110dd4288ff2ffae5e30f919c77297790d0cbeefff8bacdd84dc8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.111875Z digest=sha256:0e3a397ceb0e696e263a55b2e9bc0929e29168837ee7472cf072955446cb4169

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.127609Z digest=sha256:ec2c5f52fed2396ca5fa0142b9ea623dacfcb66760d158f51a5e6e5850afb13c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.142756Z digest=sha256:db1dda277b61834538456bc4b3dd7a2820769efd7b4894df685d2b4900f386fc

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.153857Z digest=sha256:38463425c705ecf0e8c787e0265de83c93baffbdc7d67c3e25cd48eb546a6828

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T15:51:21.160293Z digest=sha256:c6be4648d6af68e21e1db5e74209e3f834afc7a4e0fe7aeefd47c7ae2f8ba1cf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T17:11:04.356713Z digest=sha256:2b438dcbc899162866cdca1be4cd2cc6eab68ea3b42591b8dd8476c231414a89

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