Paper Citation Record · LEDGER

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D

As of 14 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 2 inbound Pith citation observations for arXiv:2502.10024.

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

pith.paper-citation-record.v1
2502.10024 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:52:27.411612Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:57:39.264579Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T01:58:51.533843Z

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy24
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0af1bcb2-a472-4bb1-8ad8-0aba48198eb1 · outbound

This paper cites an unresolved cited work.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:52:27.836273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3701fc4f-fb12-466e-85ec-868c1d1ccbf4 · outbound

This paper cites Fourier analysis and nonlinear partial diﬀerential equa- tions.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Fourier analysis and nonlinear partial diﬀerential equa- tions

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.821784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 40887a17-35e3-4928-932c-4452aedb65f3 · outbound

This paper cites an unresolved cited work.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:52:27.807805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1d502a2b-6737-4ad7-a9ed-a6a2256bcf56 · outbound

This paper cites Bony: Calcul symbolique et propagation des singularités pour les é quations aux dérivées par- tielles non linéaires.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Bony: Calcul symbolique et propagation des singularités pour les é quations aux dérivées par- tielles non linéaires

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.792846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d691e368-4165-4d4c-b798-56175f1fa5a5 · outbound

This paper cites Bravin, F.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Bravin, F

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.778268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 98b2e5f1-9fe6-4ef1-9770-379bf83df520 · outbound

This paper cites Chemin: Sur le mouvement des particules d’un ﬂuide parfait incompress ible bidimensionel.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Chemin: Sur le mouvement des particules d’un ﬂuide parfait incompress ible bidimensionel

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.761426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c55a3a93-aab2-41c2-b512-9d55969482c4 · outbound

This paper cites Chemin: Persistance des structures géométriques liées aux poches de to urbillon.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Chemin: Persistance des structures géométriques liées aux poches de to urbillon

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.744644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 07d143fa-bd53-419e-9052-9431d7248fd4 · outbound

This paper cites Fluides parfaits incompressibles.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Fluides parfaits incompressibles

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.729246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation dd7b1ba3-61c7-4e38-8093-11d01a66a165 · outbound

This paper cites Nonlinear inviscid damping for 2-D inhomogeneous incompressible Euler equations.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Nonlinear inviscid damping for 2-D inhomogeneous incompressible Euler equations

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-07T19:52:27.455135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e5e55f7f-53c4-45d7-85b3-73091bed8bb9 · outbound

This paper cites Colombini, D.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Colombini, D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.715906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b2fe5dc9-a7ea-48d9-a905-3156f68801e2 · outbound

This paper cites Colombini, G.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Colombini, G

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.703293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d360a605-0cdc-49ee-81b5-ac874baf53fc · outbound

This paper cites Constantin, C.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Constantin, C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.688875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0f7f4d64-f6fe-4918-8d49-25c081e39fba · outbound

This paper cites Constantin, C.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Constantin, C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.674206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 461422d9-1528-4e09-b7e0-01d7f1cc26fa · outbound

This paper cites Danchin: The inviscid limit for density-dependent incompressible ﬂ uids.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Danchin: The inviscid limit for density-dependent incompressible ﬂ uids

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.659466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4d77ab12-ff85-4188-bf49-b43229d1a254 · outbound

This paper cites Danchin: On the well-posedness of the incompressible density-depen dent Euler equations in the Lp framework.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Danchin: On the well-posedness of the incompressible density-depen dent Euler equations in the Lp framework

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.644611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a47b831a-8e5d-4f78-a7fc-ff8340cb9f0f · outbound

This paper cites Danchin, F.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Danchin, F

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.629590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1499b0a4-9da3-4ed6-a652-682dc991e9be · outbound

This paper cites Mathematical analysis of models of non-homogeneous ﬂuids and of hyperbolic operators with low-regularity coeﬃcients.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Mathematical analysis of models of non-homogeneous ﬂuids and of hyperbolic operators with low-regularity coeﬃcients

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.615690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f961421b-9db2-424a-ae71-aebad5a7d85c · outbound

This paper cites Fanelli: Conservation of geometric structures for non-homogeneous inv iscid incompressible ﬂuids.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Fanelli: Conservation of geometric structures for non-homogeneous inv iscid incompressible ﬂuids

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.600761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b7949f0e-4b6f-4eef-abf8-2ff287c3e5c9 · outbound

This paper cites Fanelli, E.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Fanelli, E

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.586545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3fa518bf-c11d-44da-880e-916d8d863b08 · outbound

This paper cites Fanelli, R.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Fanelli, R

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.571914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 84682a18-f847-4cce-b265-b3d796df8c6e · outbound

This paper cites Hmidi, S.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Hmidi, S

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.556782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7fd0ea6b-dad3-4704-bf25-40505853a54b · outbound

This paper cites Vorticity and incompressible ﬂow.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Vorticity and incompressible ﬂow

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.542100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 817c73db-27d1-42d7-a2cc-8793f623c676 · outbound

This paper cites Para-diﬀerential calculus and applications to the Cauchy problem for nonlinear sys- tems.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Para-diﬀerential calculus and applications to the Cauchy problem for nonlinear sys- tems

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.527294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 72ab91b9-9331-44c2-b8a7-2a80af334097 · outbound

This paper cites Meyer, C.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Meyer, C

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.513805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f7cbcb95-87d1-4458-8b09-f9f1407be7c7 · outbound

This paper cites Paicu, P.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Paicu, P

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.501061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cbbeec3c-c2da-447c-90cf-084800ec1af4 · outbound

This paper cites Vishik: Hydrodynamics in Besov spaces.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Vishik: Hydrodynamics in Besov spaces

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.487355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0bea56cb-88b2-4df0-85a5-1df5dc1d5ac7 · outbound

This paper cites Wolibner: Un théorème d’existence du mouvement plan d’un ﬂuide parfait , homogène, incom- pressible, pendant un temps inﬁniment long.

Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D Wolibner: Un théorème d’existence du mouvement plan d’un ﬂuide parfait , homogène, incom- pressible, pendant un temps inﬁniment long

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:52:27.471892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 8d1969f7-4ead-426e-a287-ffaa52c13714 · inbound

Yudovich theory under geometric regularity for density-dependent incompressible fluids cites this paper.

Yudovich theory under geometric regularity for density-dependent incompressible fluids Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T21:57:39.264579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d12ced9-7c95-4680-a912-21487a1c0f8c · inbound

A Lagrangian Approach to the Inhomogeneous Incompressible Euler Equation cites this paper.

A Lagrangian Approach to the Inhomogeneous Incompressible Euler Equation Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-17T01:58:51.535994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.