Pith. sign in

Paper Citation Record · LEDGER

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$

As of 16 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2606.20207.

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

pith.paper-citation-record.v1
2606.20207 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T16:34:17.498385Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 exact4
  • verified fuzzy0
  • unresolved31
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0d379b3b-3737-406e-b367-e99a1cb4d2c0 · outbound

This paper cites Abidi, ´Equation de Navier-Stokes avec densit´ e et viscosit´ e variables dans l’espace critique, Rev.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Abidi, ´Equation de Navier-Stokes avec densit´ e et viscosit´ e variables dans l’espace critique, Rev

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:710d5e937b0091070aa4881c30ce039d6228ba4a5fb14f04310ba23779b44e93

Observation 8aceab04-194d-4cca-a8ef-b1bcdb21d622 · outbound

This paper cites Abidi, G.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Abidi, G

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:7a3b072b42c86fe9149ade2cfba1da52b0d7d68871521d6a89f773fddec49ec9

Observation f9452fce-0e45-4ef9-91f1-a0f3dd0dc55a · outbound

This paper cites Abidi, G.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Abidi, G

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:a05f86e4ce7217731c65a195ed874d558b1a663cd4bd2dc05f2466fcab199764

Observation a5ba2ed2-d370-47f3-bb4c-7fb28926eb01 · outbound

This paper cites Abidi, G.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Abidi, G

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:381443de7b4d4f9a764461eee6022ec20ac1e6c5ca7a84c3cba1b1780fd88b2f

Observation d86bc0e4-d952-4c75-bcf7-f6dc12483175 · outbound

This paper cites Bahouri , J.-Y.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Bahouri , J.-Y

Reference 5

Resolution
verified exact
doi, observed 2026-06-26T16:39:35.240259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:23c21cced6fedd78848631c95373bc34862ae8589095baa0a1c7792a0389ec3e

Observation 63e3d05d-48a0-40f6-a4e0-849a800e5d6b · outbound

This paper cites Barker, Uniqueness results for weak Leray-Hopf solutions of the Navier-Stokes system with initial values in critical spaces, J.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Barker, Uniqueness results for weak Leray-Hopf solutions of the Navier-Stokes system with initial values in critical spaces, J

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:6afbcc23d394772b7fb68f5e01953814a765d40889daf55a6e6a4e088b563b33

Observation 5cf5379e-b44f-47ea-a072-e41cd1704fc5 · outbound

This paper cites Bourgain and N.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Bourgain and N

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:b74e28ed79cc8d0012ecd7c56be9a0fdb17d182008be8a561d7e0ad3c5fd2c27

Observation 55f63df9-eac5-40a7-8e27-1bcb19ccd9d8 · outbound

This paper cites Cannone, Y.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Cannone, Y

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:d916f811dc9783ba6cef8cedceaa8d28f11230ea210ae7f358802989ad37b4b5

Observation b8171235-cbf0-4ef3-9a0c-4ba5579600b3 · outbound

This paper cites Chemin, About weak-strong uniqueness for the 3D incompressible Navier-Stokes system, Comm.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Chemin, About weak-strong uniqueness for the 3D incompressible Navier-Stokes system, Comm

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:cd3c148349eb71973f87cee5e7b76826acdf19e964d72573662a2c308877211c

Observation ce109998-b0b2-472a-87ef-287a16f88b92 · outbound

This paper cites Chemin, M.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Chemin, M

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:a93a0f85bbb2add421bb013396b7049b8fca700e16f79ce112c65b0075fe9ef8

Observation 68458fcc-9c7d-48ee-ae36-2dc7d374d38d · outbound

This paper cites an unresolved cited work.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Unresolved cited work

Reference 11

Resolution
verified exact
doi, observed 2026-06-26T16:39:35.238012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:4f002d624eed7284e8309e56638e3b018f27fc19d34ca99cc6ffe67e80cf3981

Observation c8227e38-f051-4988-8294-e6cb7084d66f · outbound

This paper cites Well-posedness for local and nonlocal quasilinear evolution equations in fluids and geometry.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Well-posedness for local and nonlocal quasilinear evolution equations in fluids and geometry

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-07-04T04:59:35.830123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:e227db27718db44b6e7cf23453886f5504e72363b7ab28644ec9420200f4bd22

Observation 0a109d8e-0ee4-4b9f-8c39-a74a6e9ee506 · outbound

This paper cites Chen, L.-K.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Chen, L.-K

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:59ce8932baa4b759184edfd88c6cf33ac2ef249b82d6cb2546fc8edf4e435c21

Observation a974d716-28dd-4799-b9f5-d082984ac4d5 · outbound

This paper cites an unresolved cited work.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:db84e13897fdf3c516507f050c8da3681f882f57483a343b63d22700ffa0b24a

Observation d9ccce32-bb5f-49ae-9749-710dc213d364 · outbound

This paper cites an unresolved cited work.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:6e75787b3dfedcd6a422e2f390c016a8d66c544c0cb89b073db9137cd57f2ea6

Observation 2f6fda98-8d8c-49f7-ba7b-d8e7d4bf721b · outbound

This paper cites Danchin, Density-dependent incompressible viscous fluids in critical spaces, Proc.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Danchin, Density-dependent incompressible viscous fluids in critical spaces, Proc

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:ef83cf7db3684fcf96cded017fb6f95968164ebb6d146c1885f365c60a7af037

Observation 9b3909cd-44a4-4154-b9da-59f8c395b3a6 · outbound

This paper cites Danchin and P.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Danchin and P

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:3635af727c5bae9aa3f85c0611fc60595e2561238012a68f86b8e5cc01250224

Observation 46203ebb-10af-4b26-9f4d-c8d57cbf0b64 · outbound

This paper cites Danchin and P.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Danchin and P

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:95c25674179f048e4fef6665e4cdbb3644666c73676402ab5031ea4b782d6852

Observation c305ecef-2a73-4361-a806-24a787df1425 · outbound

This paper cites Danchin and P.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Danchin and P

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:5dc2ee73de252ffd7f2411f1da41b617d441f6305c4f3f6eeab86db15c4f2192

Observation 74abcb79-79a6-4793-99c0-f50437a1efa4 · outbound

This paper cites Danchin and S.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Danchin and S

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:cda13a204826bf7a97ffc0482bc5fe173289d4031f3237eb563047e91c005200

Observation 3b4b20dc-fd12-4296-8587-bb111738e4f9 · outbound

This paper cites Danchin and P.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Danchin and P

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:44b9eddddcf6e7adfeca2147f1ef8e1c8fbb0aa4770f0bf12b181d0f606cb054

Observation d92b0bf8-efdc-4da8-a492-e1d20b122da3 · outbound

This paper cites Dong and Z.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Dong and Z

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:d1d168d4500b113c125cce8ae09da3a65242352c5e0f70efb1b4658686b04187

Observation d7a15e10-663e-41d6-a9fb-643dabf2fc0b · outbound

This paper cites Fujita and T.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Fujita and T

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:723dac687410e003cd12e0223e6df2873c1aeb62ec7456903134c71d1e2edacc

Observation d93f02c0-202a-4436-96bd-bee4421d7f63 · outbound

This paper cites Hao et al., Global well-posedness of inhomogeneous Navier-Stokes equations with bounded density, Int.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Hao et al., Global well-posedness of inhomogeneous Navier-Stokes equations with bounded density, Int

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:a836f6089d606749043d7f9b40fd86cd2da06a6cfb362493cdb30d8ab1a08b01

Observation b728cad0-ba2f-472c-83d8-11c7da4ea871 · outbound

This paper cites Global well-posedness and self-similar solution of the inhomogeneous Navier-Stokes system.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Global well-posedness and self-similar solution of the inhomogeneous Navier-Stokes system

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-07-04T04:59:35.833770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:c834ca02d0585a39218c8ccadd8a18d0cf80134fdff030f445e4b08c26f7de52

Observation aaeb56b1-1b3e-4509-9b85-fcb1c9fb5a68 · outbound

This paper cites an unresolved cited work.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:78b46efb42d656fc810a4896e163ef28a20c5b0053b734786a47698af3d40e4f

Observation 551384b5-9103-4768-99e5-84a7f2b887e0 · outbound

This paper cites Kato, StrongL p-solutions of the Navier-Stokes equation inR m, with applications to weak solutions, Math.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Kato, StrongL p-solutions of the Navier-Stokes equation inR m, with applications to weak solutions, Math

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:606c948c86447fe70ddaf87a9e63bf994dc3b14bb5c2499dee50b2c8c11f7d12

Observation c46f00ed-d9da-443d-99bb-02d6dbdbfbb7 · outbound

This paper cites an unresolved cited work.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:8fa896c26ab847d64cc4f50bfc0b1a6d1d3313849842d1d104d79d3294638452

Observation 8b08791c-26f0-4134-af40-00e76b99da5a · outbound

This paper cites Koch and D.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Koch and D

Reference 29

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:a9535221b6803009e26eac0d4a0fc0c80000688601cc98084fa850a305588ce6

Observation cd611722-98ad-4c97-88c1-086cbb3ff3ff · outbound

This paper cites Leray, Sur le mouvement d’un liquide visqueux emplissant l’espace, Acta Math.63(1934), no.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Leray, Sur le mouvement d’un liquide visqueux emplissant l’espace, Acta Math.63(1934), no

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:c709823373768dda02aef0a2840a9bfd8a1a101265b7f4e8559645ec95ee3f05

Observation 314893d0-0782-4194-bc65-e4696b4457c8 · outbound

This paper cites Lions,Mathematical topics in fluid mechanics.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Lions,Mathematical topics in fluid mechanics

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:df641e242f0f5a30f79e661e51913dcc4d996662652a45efa8493446247e2bb1

Observation 8f85ff9e-aa14-42b9-a82d-612f6c578cc0 · outbound

This paper cites Paicu, P.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Paicu, P

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:96a15c7230313905e2f572c4776cfb072577349c15f3104ce3a4b5d237ad779d

Observation 46241a1b-3da4-4ca3-82ef-d702fa931397 · outbound

This paper cites Qian and P.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Qian and P

Reference 33

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:20589c4c16014aebb8c86cfa85b519c1745c0be32b71d958e6ca77b0ef56de96

Observation c18126af-b7ac-41b9-8027-7a8031aeca41 · outbound

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

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Simon, Nonhomogeneous viscous incompressible fluids: existence of velocity, density, and pressure, SIAM J

Reference 34

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:f5a1453a8dac106305eb0d7856c10f836ec5ea062db7400eedec720f0f8af3a1

Observation 0045025b-1eda-4dfb-82cb-baf698ee44c7 · outbound

This paper cites Zhang, Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system, Adv.

Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$ Zhang, Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system, Adv

Reference 35

Resolution
unresolved
no resolver link, observed 2026-06-26T16:34:17.498385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T16:34:17.498385Z digest=sha256:78035d4cfcccad151d69ccefe5d771384a18c5e5a32933234fd9184d8dae8b0b

Pith citing papers

No inbound Pith citation observations are available.