Paper Citation Record · LEDGER

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation

As of 13 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2608.10554.

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

pith.paper-citation-record.v1
2608.10554 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T22:02:29.347191Z

measured 35 of 35 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact3
verified fuzzy21
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4a92770-2c71-4cfc-a3bc-07360d56188b · outbound

This paper cites Bourgain, Global well-posedness of the defocusing critical nonlinear Schr¨ odinger equa- tion in the radial case, J.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Bourgain, Global well-posedness of the defocusing critical nonlinear Schr¨ odinger equa- tion in the radial case, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.407755Z

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 8840f243-7e99-4195-9c4e-9b284873b316 · outbound

This paper cites Bresch, B.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Bresch, B

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.392504Z

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 6b2f0192-438b-4803-a11e-3bb599c6293f · outbound

This paper cites Bresch, B.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Bresch, B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.371536Z

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 3bcd4916-f245-4aad-8da5-8ba5d8d6c95c · outbound

This paper cites Buckmaster, G.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Buckmaster, G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.354498Z

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 cfc8bd7c-8ada-4d52-bc55-9c36e8a52753 · outbound

This paper cites Brevik and Ø.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Brevik and Ø

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.338988Z

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 f19faeb1-294a-4419-8c08-7e39767fd40c · outbound

This paper cites Buckmaster, S.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Buckmaster, S

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.322817Z

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 600219e4-dc2f-4823-9d5f-1775c2ca960c · outbound

This paper cites Buckmaster, S.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Buckmaster, S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.308656Z

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 d5e6b6c3-408b-418b-9b20-d8ada5c8fb7e · outbound

This paper cites Buckmaster, S.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Buckmaster, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.294937Z

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 7beed838-b845-4549-a2ae-a638a21644c0 · outbound

This paper cites Cort´ azar, M.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Cort´ azar, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.279613Z

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 fda67891-daae-44ff-8e44-e15b9cfa16e2 · outbound

This paper cites Cao-Labora, J.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Cao-Labora, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.258781Z

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 15bcdb38-e84c-4769-a4a9-fc6efdd5a049 · outbound

This paper cites an unresolved cited work.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T22:02:29.194801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a357ace-5f3a-4a10-b2c6-4e6cf3155092 · outbound

This paper cites Colliander, M.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Colliander, M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.241966Z

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 6b404456-f6dd-4c7f-9853-ad9017fe282d · outbound

This paper cites Daskalopoulos, M.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Daskalopoulos, M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.225769Z

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 7f3ca607-228e-442a-a8af-28f0e2d1df71 · outbound

This paper cites Duyckaerts, C.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Duyckaerts, C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.205285Z

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 4ecc76a7-7265-44a3-8b9e-afa94859f278 · outbound

This paper cites Duyckaerts, C.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Duyckaerts, C

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.187630Z

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 5e671e11-8045-42b8-86d8-82a787d0dca3 · outbound

This paper cites an unresolved cited work.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T22:02:29.222232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e420540-0230-4f27-9e7f-91139e35cac9 · outbound

This paper cites an unresolved cited work.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T22:02:30.155708Z

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 2996fe25-8ce0-474a-a206-05966f43345d · outbound

This paper cites an unresolved cited work.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Unresolved cited work

Reference 18

Resolution: verified exact; raw_fallback, observed 2026-08-12T22:02:29.864903Z

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 f092dbd3-ad9b-466b-b7c0-6adaa7dda975 · 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.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Global-in-time strong solutions for the 2D and 3D generalized compressible Navier-Stokes-Korteweg system with arbitrarily large initial data

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T22:02:29.240149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93cd58b8-9738-4b7a-98d9-7b989d492366 · outbound

This paper cites Huang, Y.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Huang, Y

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T22:02:29.246545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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.

Observation 7e5090f5-a888-4d3a-b208-1dabb2b42454 · outbound

This paper cites Huang, W.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Huang, W

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-12T22:02:29.260215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d9affd1-dc72-466e-9333-4e014ceceb43 · outbound

This paper cites Huang, W.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Huang, W

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-12T22:02:29.535903Z

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 0578b6ab-958a-445a-8dfa-c51d5729bdd9 · outbound

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

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Korteweg, Sur la forme que prennent les ´ equations du mouvement des fluides si l’on tient compte des forces capillaires par des variations de densit´ e, Arch

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.131676Z

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 7a556e0a-ac78-4e70-98ad-4347960c00a2 · outbound

This paper cites an unresolved cited work.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T22:02:30.108786Z

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 73e75dac-b354-4a72-a50f-c93545875214 · outbound

This paper cites Krieger, W.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Krieger, W

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.075229Z

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 38ff9531-e7cf-4deb-b5c3-35b04b6cf952 · outbound

This paper cites an unresolved cited work.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T22:02:30.056168Z

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 f1167f76-a504-4142-bff4-cb961e362d51 · outbound

This paper cites Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-12T22:02:29.297293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cf454ac-3f8d-456c-86bc-ad74d6eaf115 · outbound

This paper cites Merle, P.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Merle, P

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.035697Z

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 d44a6ed8-b8a8-4cf5-b138-f0b959366ccc · outbound

This paper cites Merle, P.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Merle, P

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:30.018972Z

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 2ebdc087-aaa2-4850-af75-42e960995118 · outbound

This paper cites an unresolved cited work.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-12T22:02:30.003346Z

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 1f2ad427-8220-42da-b241-874c9cfc3b73 · outbound

This paper cites Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-12T22:02:29.330670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c7529a2-1844-4c79-b210-3d921f3eb69e · outbound

This paper cites Tankeshwar, Generalized negative bulk viscosity in liquids, J.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Tankeshwar, Generalized negative bulk viscosity in liquids, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:29.984814Z

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 a1c5e57e-2957-40f6-a824-aad405a4457f · outbound

This paper cites Vasseur, C.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Vasseur, C

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:29.967144Z

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 b203d60a-8354-4317-8385-34937c473e95 · outbound

This paper cites Zhang, Spherically symmetric strong solution of compressible flow with large data and density-dependent viscosities, J.

Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation Zhang, Spherically symmetric strong solution of compressible flow with large data and density-dependent viscosities, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:02:29.946782Z

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

No inbound Pith citation observations are available.