Paper Citation Record · LEDGER

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem

As of 11 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.10676.

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

pith.paper-citation-record.v1
2607.10676 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T10:03:03.189441Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

24 of 24 outbound references displayed

verified exact0
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ce214cc1-917a-4a67-bd72-fe228fc073e0 · outbound

This paper cites an unresolved cited work.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2454e372-d132-448e-a4ad-3a88176b67f8 · outbound

This paper cites Abidi, G.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Abidi, G

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c10c3b58-6d68-42fa-97de-1b1466b06b9c · outbound

This paper cites Bahouri, J.-Y.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Bahouri, J.-Y

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 589fa72e-48eb-4a37-a1a0-a114f6789f14 · outbound

This paper cites Capone, D.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Capone, D

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f5b9102-6fe2-4ec2-aa1d-8c07c08dbf49 · outbound

This paper cites Chemin and N.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Chemin and N

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbe90a1a-ade0-48cd-a102-1bfe9bd3f886 · outbound

This paper cites Crin-Barat, N.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Crin-Barat, N

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e7c3de2-97fe-48bc-a388-0fd7b4e77e42 · outbound

This paper cites Crin-Barat, S.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Crin-Barat, S

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14532eca-5f37-42ae-9fbf-ab912a7afd1d · outbound

This paper cites an unresolved cited work.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdeedd63-813f-4c6d-9e14-70c4d68ab402 · outbound

This paper cites an unresolved cited work.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ec7161c-eb28-4fec-802e-94468fe4cc4b · outbound

This paper cites Danchin and P.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Danchin and P

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 610f4eaa-a2a2-456e-bce2-550c2566adb9 · outbound

This paper cites Danchin and P.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Danchin and P

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4739d25-3fd5-4d38-992a-e0cba03c0a1c · outbound

This paper cites Danchin, P.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Danchin, P

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7daeb941-e13c-4cdd-ac14-b4d394b8105f · outbound

This paper cites an unresolved cited work.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcdbb3fa-b5dd-4afb-8c67-eab81d6580fc · outbound

This paper cites Gancedo and E.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Gancedo and E

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f855f1b-6c39-46a2-b54d-863abc5c1d59 · outbound

This paper cites Gancedo, E.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Gancedo, E

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 969c5087-c5bd-48e2-a9b4-f24b68180a9f · outbound

This paper cites an unresolved cited work.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38bf1975-b8b6-4ee4-97ec-ac424297ad7e · outbound

This paper cites an unresolved cited work.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3c23792-428e-4fe3-8d65-a47b8c56fbb9 · outbound

This paper cites Kinnunen and O.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Kinnunen and O

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b4032da-0bf6-4c89-9df2-1bfa0784a8fc · outbound

This paper cites Lions and J.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Lions and J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e41a3de2-1a04-4025-b374-8e6d24b2fc9f · outbound

This paper cites Lions.Mathematical Topics in Fluid Mechanics.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Lions.Mathematical Topics in Fluid Mechanics

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ced847b-2d08-424a-95c5-474b4a883849 · outbound

This paper cites Paicu, P.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Paicu, P

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d76c4a1-aae5-4caa-8101-719fed7b41f1 · outbound

This paper cites Prange and J.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Prange and J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40a353fc-b0b2-4a0a-81b9-42524a7155f4 · outbound

This paper cites On Lions' density patch problem at a critical level of regularity.

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem On Lions' density patch problem at a critical level of regularity

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbb9b088-d1f2-4801-8b99-eda1bdafeb1a · outbound

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

$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem Inhomogeneous 2D Navier--Stokes equations: Existence, uniqueness, stability, continuity in time and energy conservation of weak solutions

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T10:03:03.189441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.