Paper Citation Record · LEDGER

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data

As of 14 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2604.23652.

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

pith.paper-citation-record.v1
2604.23652 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T05:40:50.996391Z

measured 20 of 20 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T22:02:29.252025Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T22:02:29.653705Z

Reference resolution

19 of 19 outbound references displayed

verified exact4
verified fuzzy13
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 588b0c2a-f488-4551-abbb-5a99aa309344 · outbound

This paper cites Global weak solutions of the Navier-Stokes-Korteweg Equations in one dimension.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Global weak solutions of the Navier-Stokes-Korteweg Equations in one dimension

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:26:13.568235Z

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.

Observation f4759067-391f-4505-8e20-2ec52b438f19 · outbound

This paper cites Antonelli, L.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Antonelli, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.759236Z

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.

Observation a3850b6c-7731-4d46-b343-0698240ef0d8 · outbound

This paper cites Antonelli, S.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Antonelli, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.762103Z

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.

Observation c68869ee-fee4-422c-a0d8-8e376dc419da · outbound

This paper cites Bresch, B.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Bresch, B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.756678Z

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.

Observation 03a89413-04a0-42fe-a368-6dcf1c769362 · outbound

This paper cites Bresch, B.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Bresch, B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.766475Z

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.

Observation 157c8cae-0619-4ac4-b4a1-b68652b821ee · outbound

This paper cites Burtea, B.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Burtea, B

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.788460Z

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.

Observation 5d53ee3c-a307-48f5-bec4-794a1f2c7e0f · outbound

This paper cites an unresolved cited work.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-26T19:37:55.785938Z

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.

Observation f49fc516-892a-427f-8f16-f6d2e627fafd · outbound

This paper cites Danchin, B.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Danchin, B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.778090Z

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.

Observation bb149542-9351-452c-8084-75006dd22d5c · outbound

This paper cites an unresolved cited work.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-26T19:37:55.796877Z

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.

Observation 5a2b63cb-0c34-4e71-82d7-f9819263ae31 · outbound

This paper cites Global-in-time strong solutions for the 2D and 3D generalized compressible Navier-Stokes-Korteweg system with arbitrarily large initial data.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Global-in-time strong solutions for the 2D and 3D generalized compressible Navier-Stokes-Korteweg system with arbitrarily large initial data

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-07-07T01:16:08.464514Z

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.

Observation 787c9905-56b4-4049-ba27-cdd086a04dff · outbound

This paper cites Germain, P.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Germain, P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.794000Z

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.

Observation 11d7f2ff-6c76-4d9a-a040-815a927f274f · outbound

This paper cites Haspot, Existence of global strong solution for Korteweg system with large infinite energy initial data, J.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Haspot, Existence of global strong solution for Korteweg system with large infinite energy initial data, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.775872Z

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.

Observation 13cba227-7cf4-485d-a093-cdea31943b02 · outbound

This paper cites Huang, Y.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Huang, Y

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:26:13.547755Z

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.

Observation 2096f106-e9f3-4049-b3f8-1cea38e4116f · outbound

This paper cites Huang, W.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Huang, W

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:26:13.552918Z

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.

Observation 9a993358-6d7c-4ad9-9af9-54d0ef8d2695 · outbound

This paper cites Jüngel, Effective velocity in Navier-Stokes equations with third-order derivatives, Non- linear Anal.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Jüngel, Effective velocity in Navier-Stokes equations with third-order derivatives, Non- linear Anal

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.780830Z

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.

Observation 0b9d2da1-6f8a-4c2e-9492-7da008967c72 · outbound

This paper cites Jüngel, Global weak solutions to compressible Navier-Stokes equations for quantum fluids, SIAM J.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Jüngel, Global weak solutions to compressible Navier-Stokes equations for quantum fluids, SIAM J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.791683Z

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.

Observation 4e913abe-3a92-4348-bd14-1407592d44e1 · outbound

This paper cites Korteweg, Sur la forme que prennent les équations du mouvement des fluides si l’on tient compte des forces capillaires par des variations de densité, Arch.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Korteweg, Sur la forme que prennent les équations du mouvement des fluides si l’on tient compte des forces capillaires par des variations de densité, Arch

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.783269Z

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.

Observation fae6bcde-9b1c-47ec-9293-359dd9659554 · outbound

This paper cites Lacroix-Violet, A.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Lacroix-Violet, A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.769197Z

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.

Observation feee9445-589c-4c3a-8baf-b7c54f243f69 · outbound

This paper cites Tsyganov, Global existence and asymptotic convergence of weak solutions for the one- dimensional Navier-Stokes equations with capillarity and nonmonotonic pressure, J.

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data Tsyganov, Global existence and asymptotic convergence of weak solutions for the one- dimensional Navier-Stokes equations with capillarity and nonmonotonic pressure, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T19:37:55.772123Z

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.

Pith citing papers

Observation 7fdba70e-9900-4bdd-b9a3-c96d861fe92e · inbound

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation cites this paper.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-12T22:02:29.661406Z

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.