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Paper Citation Record · LEDGER

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl

As of 15 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2607.27560.

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pith.paper-citation-record.v1
2607.27560 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T05:55:42.829144Z

measured 28 of 28 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:12:59.393224Z

measured 0 of 1 external citation measurements

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

Source: cited_works

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27 of 27 outbound references displayed

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Outbound references

Observation b121b1ca-306e-464f-9017-6344d5c8b1be · outbound

This paper cites On the global well-posedness for the axisymmetric Euler equations.Math.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl On the global well-posedness for the axisymmetric Euler equations.Math

Reference 1

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source=pdf_text observed=2026-08-01T05:55:39.942606Z digest=sha256:c2865add95993542e2f120b90fdc1b1abdbc9911da991df6d9f031ba9cd288ac

Observation 7b533339-3fa3-46ae-9e75-c322350a5801 · outbound

This paper cites Fluides parfaits incompressibles.Ast´ erisque, (230):177, 1995.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Fluides parfaits incompressibles.Ast´ erisque, (230):177, 1995

Reference 2

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Observation e55f5e0f-d496-430f-9b01-f021311d3899 · outbound

This paper cites an unresolved cited work.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Unresolved cited work

Reference 3

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Observation 1cf30187-6d36-4b3e-8698-c4ac9ff0a3ed · outbound

This paper cites Growth of anti-parallel vorticity in Euler flows.Phys.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Growth of anti-parallel vorticity in Euler flows.Phys

Reference 4

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source=pdf_text observed=2026-08-01T05:55:40.331264Z digest=sha256:d592ca0a5c47105a2a206686290332fad3019a102cb045ba2ef7b258b22e0f14

Observation 53175fb8-e1b2-449b-94d8-16dd80e301e0 · outbound

This paper cites Gilbert, and Paul Valiant.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Gilbert, and Paul Valiant

Reference 5

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source=pdf_text observed=2026-08-01T05:55:40.411234Z digest=sha256:2cfbba3187268de93344bf37df91b73d4a6e4ccf1ff12a89cfed1895a215c011

Observation c73e2aff-b1b9-4b76-bcf6-216a2c19b14f · outbound

This paper cites On global regularity of some bi-rotational Euler flows inR 4.J.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl On global regularity of some bi-rotational Euler flows inR 4.J

Reference 6

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Observation e6c2ff12-ec16-4c54-9adc-72f0da1bffd1 · outbound

This paper cites Global regularity for some axisymmetric Euler flows inR d.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Global regularity for some axisymmetric Euler flows inR d

Reference 7

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Observation ace27a73-b1e3-497a-8472-56b9ec2a1a83 · outbound

This paper cites Axisymmetric incompressible flows with bounded vorticity.Uspekhi Mat.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Axisymmetric incompressible flows with bounded vorticity.Uspekhi Mat

Reference 8

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Observation 03e1be0e-d179-46ee-bd32-2d55527a8e21 · outbound

This paper cites Drivas and Tarek M.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Drivas and Tarek M

Reference 9

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source=pdf_text observed=2026-08-01T05:55:40.737855Z digest=sha256:d63efe4724347436ff9839edbd6f2c8436ac6c2acd99b37d8b3386d523015c9d

Observation 16ed7327-8ab2-4d84-9d34-259f7ecd82c7 · outbound

This paper cites Growth estimates for axisymmetric euler equations without swirl.preprint, arXiv:2512.13456.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Growth estimates for axisymmetric euler equations without swirl.preprint, arXiv:2512.13456

Reference 10

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Observation 1d179196-0722-4c4b-b5a8-e615d5c50a1c · outbound

This paper cites On the Cauchy problem for axi-symmetric vortex rings.Arch.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl On the Cauchy problem for axi-symmetric vortex rings.Arch

Reference 11

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Observation 657ab49d-c454-4d5c-8f3c-d1d36426493c · outbound

This paper cites Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions.J.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions.J

Reference 12

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Observation 0cc7fff8-0a5d-4ae7-91ef-5168ebe92a78 · outbound

This paper cites Hou and Shumao Zhang.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Hou and Shumao Zhang

Reference 13

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Observation 6ac672b5-0f88-4886-ae46-6842117d596b · outbound

This paper cites Hou and Shumao Zhang.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Hou and Shumao Zhang

Reference 14

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Observation a650df21-7741-4a6a-ad8c-41fc9c2b3e90 · outbound

This paper cites Support growth of vorticity for bi-rotational euler flows in high dimensions.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Support growth of vorticity for bi-rotational euler flows in high dimensions

Reference 15

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Observation 0498fb3e-52b1-45d1-bc41-dd41571da4b0 · outbound

This paper cites Higher-dimensional Euler fluids and Hasimoto transform: counterexamples and generalizations.Nonlinearity, 34(3):1525–1542, 2021.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Higher-dimensional Euler fluids and Hasimoto transform: counterexamples and generalizations.Nonlinearity, 34(3):1525–1542, 2021

Reference 16

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Observation ff278e6b-6b5f-49b3-b9a3-483a2607bcbd · outbound

This paper cites Global regularity of some axisymmetric, single-signed vorticity in any dimension.Commun.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Global regularity of some axisymmetric, single-signed vorticity in any dimension.Commun

Reference 17

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Observation 68052b3d-753e-4053-8d0f-688b9b319a5d · outbound

This paper cites On the optimal rate of vortex stretching for axisymmetric Euler flows without swirl.Arch.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl On the optimal rate of vortex stretching for axisymmetric Euler flows without swirl.Arch

Reference 18

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Observation 5b490352-d776-4b83-ac1e-7f3a347df31b · outbound

This paper cites A confinement result for axisymmetric fluids.Rend.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl A confinement result for axisymmetric fluids.Rend

Reference 19

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Observation b0e00c05-1893-405e-9a2c-940ef56057e5 · outbound

This paper cites Majda and Andrea L.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Majda and Andrea L

Reference 20

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Observation f0fd1819-4a6f-4dc2-8e35-7de37f142308 · outbound

This paper cites Global regularity for axisymmetric, swirl-free solutions of the Euler equation in four dimensions.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Global regularity for axisymmetric, swirl-free solutions of the Euler equation in four dimensions

Reference 21

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source=pdf_text observed=2026-08-01T05:55:42.038038Z digest=sha256:bb938a0d3621c1dff1b267c676eb66d9c93bc7c99efefdf0e64f207a0b88f833

Observation d1434a80-4f77-443f-90b5-881183be3e7c · outbound

This paper cites On the regularity of axisymmetric, swirl-free solutions of the Euler equation in four and higher dimensions.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl On the regularity of axisymmetric, swirl-free solutions of the Euler equation in four and higher dimensions

Reference 22

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Observation e3f18f26-0398-4781-b03e-d8e0fcf4674f · outbound

This paper cites Saint Raymond.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Saint Raymond

Reference 23

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Observation da33de53-b7c6-4f0c-b27b-a87e53c6cd63 · outbound

This paper cites Global regularity of axisymmetric Euler equations without swirl in higher dimensions.Acta Math.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Global regularity of axisymmetric Euler equations without swirl in higher dimensions.Acta Math

Reference 24

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Observation dd62370c-d0c2-4a1d-a6b2-bf715b196539 · outbound

This paper cites Note on global existence for axially symmetric solutions of the Euler system.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Note on global existence for axially symmetric solutions of the Euler system

Reference 25

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Observation 3b59a8b6-169a-4bbe-80a3-10c8078a552f · outbound

This paper cites an unresolved cited work.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Unresolved cited work

Reference 26

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Observation 6f5703b0-1b13-45b1-9b46-91c0d2c22836 · outbound

This paper cites Vortex motion of the Euler and lake equations.J.

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl Vortex motion of the Euler and lake equations.J

Reference 27

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Pith citing papers

Observation 2db4a94e-6b7d-4eea-9695-85513dd02d2c · inbound

Linear Growth of the Vorticity Maximum for Axisymmetric Euler Flows Without Swirl cites this paper.

Linear Growth of the Vorticity Maximum for Axisymmetric Euler Flows Without Swirl On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl

Reference 24

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