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Paper Citation Record · LEDGER

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness

As of 17 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2412.13828.

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

pith.paper-citation-record.v1
2412.13828 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:55:08.474191Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:08:44.059319Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T11:08:46.229785Z

Reference resolution

8 of 8 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 93ee1d4c-7eed-4206-9d2c-c95eefacca3f · outbound

This paper cites Global well-posedness for the 2 -D inhomogeneous incompressible Navier-Stokes system with large initial data in critical sp aces.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Global well-posedness for the 2 -D inhomogeneous incompressible Navier-Stokes system with large initial data in critical sp aces

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.623361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T12:55:08.439573Z digest=sha256:4df67e04b80e672d65ee1eb4b18022e1ab6a31077e4bae764cf6c44cc73cc522

Observation 1d70a4ce-88da-4132-8726-690f4d47bc4f · outbound

This paper cites Global unique solv ability of inhomogeneous Navier- Stokes equations with bounded density.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Global unique solv ability of inhomogeneous Navier- Stokes equations with bounded density

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.564998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T12:55:08.469216Z digest=sha256:8084079123d0e37b5925917e2e268386934ab8da173bfc869d44d17661c16a0e

Observation 50d90f7b-53c9-42e5-a6fb-bed31552c9c1 · outbound

This paper cites Global well-posedness of inhomogeneous Navier-Stokes equations with bounded density.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Global well-posedness of inhomogeneous Navier-Stokes equations with bounded density

Reference 6

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T12:55:08.517690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T12:55:08.463995Z digest=sha256:dfa219eb3340c05cc6183b5500891a63b4da9f0fc78a61304cc0086b18167272

Observation c0becf41-e99f-4ee7-91ab-68e87e8e6ea5 · outbound

This paper cites Nonhomogeneous viscous incompressible fluids: existence of velocity, density, and pressure.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Nonhomogeneous viscous incompressible fluids: existence of velocity, density, and pressure

Reference 157

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.552439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T12:55:08.474191Z digest=sha256:14d3cb239b040e1898016dc6a0b3ac8bed0c33fd4663831c792d86515f1967fa

Observation 9ac5a0c7-c5c4-4a35-b995-d612a454c1e5 · outbound

This paper cites Relati ve energy method for weak–strong uniqueness of the inhomogeneous Navier–Stokes equations f ar from vacuum.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Relati ve energy method for weak–strong uniqueness of the inhomogeneous Navier–Stokes equations f ar from vacuum

Reference 225

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.591811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T12:55:08.454312Z digest=sha256:9e72c48012f50dc93b35a9ae70c83bf5e946209ee292fb19db5e630781148de7

Observation 59d935da-d628-465b-a087-5761053ad45d · outbound

This paper cites Springer, He idelberg, 2011, pp.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Springer, He idelberg, 2011, pp

Reference 343

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.608054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T12:55:08.449713Z digest=sha256:c754c52beceb7d9eaf578766a8c6197be6ac9ffee0430952beb788ab25258352

Observation 68e62315-bd61-4c2b-afb0-1edd5d70a989 · outbound

This paper cites Density-dependent indecompressible viscous fluids in critical spaces.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Density-dependent indecompressible viscous fluids in critical spaces

Reference 2008

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:55:08.578957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T12:55:08.459478Z digest=sha256:03a70e5798f290308feae40e3c9d4b2ade33dbee6a70df01f4c8c33c25b8b0d7

Observation d70d7c0a-a3f9-43c1-812f-dc901d163303 · outbound

This paper cites Inhomogenous Navier--Stokes equations with unbounded density.

Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Inhomogenous Navier--Stokes equations with unbounded density

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:55:08.537689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T12:55:08.445123Z digest=sha256:f42e376dbd90b44831665124503b37c7646ee0ebc1b5b9ffe59371e8cf815a12

Pith citing papers

Observation 73cf918a-487c-4f9c-9c1c-f9e311da5133 · inbound

Inhomogeneous 2D Navier--Stokes equations: Existence, uniqueness, stability, continuity in time and energy conservation of weak solutions cites this paper.

Inhomogeneous 2D Navier--Stokes equations: Existence, uniqueness, stability, continuity in time and energy conservation of weak solutions Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:08:46.233653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:08:44.059319Z digest=sha256:052f1a3cb9d90164ff12c757a315f2c6fb2067b67b86f31869804c98c9504a17