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Paper Citation Record · LEDGER

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum

As of 8 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2605.24568.

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

pith.paper-citation-record.v1
2605.24568 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T13:12:11.284571Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T02:28:58.375231Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-30T02:34:13.586625Z

Reference resolution

45 of 45 outbound references displayed

  • verified exact4
  • verified fuzzy19
  • unresolved22
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 22c1c8b2-1d2a-49cf-b547-ca604ec16ad6 · outbound

This paper cites Agmon, A.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Agmon, A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.545113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:dd6cd0ffeddba501492f5d0ee7055bf0357ce0ab82fe5db9f6859fbecf2767b4

Observation 894eebc1-1e4c-47d5-b185-d40ebb76f501 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.519588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:0fc1e89c7a2b3a1edeb4c88078d3124166854425eb6825a05862b8b7d5d6b978

Observation b7400add-d557-4b72-a3b4-4830b0662fd9 · outbound

This paper cites Blesgen, A generalisation of Navier-Stokes equations to two-phase-flows, J.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Blesgen, A generalisation of Navier-Stokes equations to two-phase-flows, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.536597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:272a30e5374d8fe4f910beee92f937de1b00903a24ee1fd7d19d235dd2939e1b

Observation f77c305b-6dd9-4343-9c8d-7a5c065ea2a6 · outbound

This paper cites Choe, and H.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Choe, and H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.548471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:c332630fd11b94953f5c3da3f5d1da0140c69a64b8a4454228eddc0768ce92da

Observation 0a9edc4e-ce31-4276-9043-8eb039f79912 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.554158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:628e0b188937b62d03295880c974e06c440dda0727907fa46a19b52c3374305c

Observation f3289e11-6235-42a8-a480-e66d44f8f274 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.577386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:446efb2161248ff3514cc3d398c5eaf007c3373ccb1b3b03378603fc3b5c0978

Observation 46b7e974-5377-4418-8e0d-ce9dcb8d3a80 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.567374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:a7bf5c2c1433212177da2dcb558be2c39e2b56717f90a44c13f32150c3bd20c4

Observation 9e93c197-bbe8-4463-97ef-e94465deec2a · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.552454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:1c4ede933b4dcb636dc63051b3c4f58f114c7f7c08bb3e35fef61fcf2af17d97

Observation 64af197a-3e20-41ee-80df-3a9c7252f36e · outbound

This paper cites Cho and H.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Cho and H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.562335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:d7013401a8fbe83d72c693a51a7eb273caa998b8c7043e6c052f3e239dc63859

Observation 722a9f0a-cae8-4677-8169-1e4be96dfb2a · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.563948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:040bab92b754281faaec87f314da0c40b226a3e3ded04e6414600313fb5d0aa9

Observation ee3868f4-cf1b-4a21-9aea-183e9f24ea08 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.570802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:083d961a43bcb1476639d5cefb8701015ba49a457c0c158245dcdb86772f83d9

Observation 26d00903-a243-4673-b52f-3d82d851bb53 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.555927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:0dd677178af3b7d39e8b9fdab0075b8c6f799e2e17e24176a46855c83147216f

Observation 039dab2c-1cf1-4fcd-8d52-b55deef77bce · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.559225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:b2274dedb501f48b323b9ea0667fba3c54d9e9be49047200e83c934fe5aa5f7a

Observation e74c393b-0018-48b1-83c6-d10fe95ef7e1 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.508251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:99897b88e95dc0d223fad4063e1ab4797da970ce42e0feef5761db79f04f3bfe

Observation 6af8e967-80af-4ffc-9987-f07da0528e09 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.572425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:d0349c1c6f13e4dda78b218b027f15fd357f1380f9b0207f527da8795c5616ac

Observation 69456425-4264-4e5b-883c-01b8aeaef476 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.575730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:48a4d6cd05a642ae7c049f30c0383072ee9cff873342736181e3f0bf89e67ebb

Observation ec9bfe64-b312-40cc-a061-f47c51c57f37 · outbound

This paper cites Fan and F.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Fan and F

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.574065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:2df9c2622041aa58145b31bcc6f2945b51a1d2f53f81da454afeabea42775984

Observation 50965665-8fb5-4937-a164-9cec33e8596d · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.557642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:ffaa751318f7f4785020a0ebe21b4b3c6f24b1b1d164a0b0943c18f85930c4ca

Observation 9c068713-941d-4eab-a441-2e9f1bf250fe · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-06-30T13:14:40.670779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:fc6aaa6497e93423ef3501b5f47e43c7371391f0c951a6789f5061a393cd6f5b

Observation c3ae88c5-b447-42d7-9d97-c57addc2e7b4 · outbound

This paper cites Feireisl,Dynamics of Viscous Compressible Fluids, Oxford Lecture Series in Mathematics and Its Appli- cations, Vol.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Feireisl,Dynamics of Viscous Compressible Fluids, Oxford Lecture Series in Mathematics and Its Appli- cations, Vol

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.523291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:752cfcdad2b3296b91de52c816443e57dcd31e8c26d56f9028b15c83e3f24d54

Observation b9d93d86-fa83-49ff-817a-9f98429a6f82 · outbound

This paper cites Feireisl, H.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Feireisl, H

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.560800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:979332e90d6284926c5c218856ec9fd9c99f331955157a975874e7c0b864396f

Observation 1e854af9-5a24-4ccc-b11a-bfdc92344d4e · outbound

This paper cites Giorgini and R.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Giorgini and R

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.540027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:cbc9d30063e501454f15e9790817feeba8785916baef2b512aa372a8a063e50f

Observation 7d3d4ca9-aa6e-4add-9a3b-c177956fb793 · outbound

This paper cites Huang, J.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Huang, J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.546844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:4616ff5d29180064b9c4304352523b3e6a0eab9e338497734760e9627ffa5a5b

Observation c77e0e4e-bab8-4780-9fbc-a9b64024ed7f · outbound

This paper cites Huang, C.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Huang, C

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.565572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:80bae7918e23ae4b8012ab4f5c25225f73684172608992a20b51e8de4ab61d8c

Observation d08e6779-4f9d-42b2-86cd-d76c5bfce929 · outbound

This paper cites Jiang, J.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Jiang, J

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-06-30T13:14:40.673729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:4b26c8e84de38050b634f14816c50aec0d339c427a4bf51e81b41991a10a1e77

Observation aa1a3e26-2ee3-4c47-b7f8-973e485d2c0b · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.533089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:75797ae53766d92cc0676a967d7770fc4a4b7bad91ef3d424bf1d6d47e7ad16e

Observation fdb23c21-7ab2-4026-87db-10196cd6ba6c · outbound

This paper cites Kotschote, Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type, Arch.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Kotschote, Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type, Arch

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.506585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:65d4c3f19b00b166aa841458546b029ec2a8ba040b861ebaf1ce8f6a7ac19413

Observation 26048a9d-fc16-4304-99e2-d17b64729108 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.550241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:0a60ce383bfd95a7011cf095ff7507326280fba1166f903233a1c56104869616

Observation 88ffedc6-6981-4989-b647-89402b905375 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.529012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:f9d0e030fe300c01d51dc6fd2a9a5d8ad93b6901581721acf770532509de0a47

Observation 5af4cd2f-def7-46a1-a82f-009d90b4e682 · outbound

This paper cites Li, Local existence and uniqueness of strong solutions to the Navier-Stokes equations with nonnegative density, J.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Li, Local existence and uniqueness of strong solutions to the Navier-Stokes equations with nonnegative density, J

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.512109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:6c48acca24ea727b87c023571455e5791584ad4dad0d4a2cf4dc9e3a6566b86d

Observation 152c82f0-d310-42b4-bc04-4d5898947cb4 · outbound

This paper cites Li and Y.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Li and Y

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.510067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:0c0f98b30ff4a04dfda154d1299c15d86b578be0ea96619e63dc52dc357c246f

Observation 321c4c4d-2289-44e6-99dc-584f085e5299 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.516269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:c6ccb668830a334b6f8fc9780e150d6d732ccfdbf69da08cd314e270d6750d76

Observation 47ed04ab-9b89-4647-88b6-95b336036997 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.525071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:1ea7d5df90258e1bb0967038fb653805035ba8cbef1475621b457d0424a1ba46

Observation ec617108-fe93-4397-a504-81e1e8f6531d · outbound

This paper cites Li and M.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Li and M

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.531003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:74c1b28698e42632f5df729586301431411fe175c4bf81257a5700a34a67a4fc

Observation 48c8de76-44c2-4b1f-8a16-e516e4cad46e · outbound

This paper cites Incompressible Limit of Strong Solutions to the Diffuse Interface Model for Two-phase Flows.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Incompressible Limit of Strong Solutions to the Diffuse Interface Model for Two-phase Flows

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-06-30T13:14:40.676641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:49cbfab67312cb5f6a0b7d5023c682f9a6d813038c7bc6ca42077534e2ee7a1f

Observation fc247104-435b-4168-b85e-0f9d21167637 · outbound

This paper cites Well-posedness of the nonhomogeneous incompressible Navier-Stokes/Allen-Cahn system.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Well-posedness of the nonhomogeneous incompressible Navier-Stokes/Allen-Cahn system

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-06-30T13:14:40.679123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:b31f50e8f665644a265cd17a339e3595e30839847bb2cc9418b893184f7ce7bc

Observation 5c730436-2d75-4869-af40-a4d95b26ce8b · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.538268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:dd63c3de54c0f30046e024810cacb6ebe1f9ea4fe8414e53849e55f75aaf612c

Observation 2b2585f6-065a-4909-a985-8af5da6ebf96 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.534802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:e65d05f468a330a66b44a850c9cadd50a5d7e312e0dd8dff1f64829d0f843f3d

Observation 9b4b870c-9866-4a4f-80e7-eae29e660dd3 · outbound

This paper cites Salvi, I.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Salvi, I

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.521364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:494477e267c63871b69df1a7687c90c763abf8c0d1dec9996b5fccfbffb25e6c

Observation 0d3a50e9-a1c4-4d0c-98cb-924c20b84807 · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.541619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:02156272602d654f8ed94253b6869108979e9543ac83bf80e00ea20a95225e63

Observation da766222-ed00-4e49-8c59-62b5a7538e28 · outbound

This paper cites Su, On global classical solutions to one-dimensional compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and vacuum, Bound.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Su, On global classical solutions to one-dimensional compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and vacuum, Bound

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.527084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:0348c8e3840ef643355b1659b459f3ad3e13b61f4da6e5427cd0c3585706c326

Observation b57d8f4d-ff24-4047-959d-2f024dbc409b · outbound

This paper cites an unresolved cited work.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:15:57.514236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:9ff61f79a09c6b89cbdae341b8e27aa2083a734d22d3bb54cbc9fdc9c5879986

Observation 6928ff93-71b6-4ddb-ab0e-7937296ca381 · outbound

This paper cites Zhang, A regularity criterion for the 3D incompressible density-dependent Navier-Stokes-Allen-Cahn equations, J.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Zhang, A regularity criterion for the 3D incompressible density-dependent Navier-Stokes-Allen-Cahn equations, J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.543412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:57944d234a12586d420ede7b2dd9ba83fa3790219057340548529ef5b7e7260f

Observation 497423ba-801f-45b5-b6e5-6a658f7fbf1c · outbound

This paper cites Zhang, Regularity of solutions to 1D compressible Navier-Stokes-Allen-Cahn system, Appl.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Zhang, Regularity of solutions to 1D compressible Navier-Stokes-Allen-Cahn system, Appl

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.569122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:c72373f7a7a29226af6cf249d3d1a1a8f9360ba37278f7701718c12f79526f38

Observation 4d8cace7-690c-48de-9a24-1736ceda387c · outbound

This paper cites Zhao, Global well-posedness and decay estimates for three-dimensional compressible Navier-Stokes-Allen- Cahn systems, Proc.

Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum Zhao, Global well-posedness and decay estimates for three-dimensional compressible Navier-Stokes-Allen- Cahn systems, Proc

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:15:57.504712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:2564347a0494e6b2b6929b560417aacd6e3bece21c7621ef6aa1b08d024e8c51

Pith citing papers

Observation be010233-91a6-4a30-bfac-305b1d0ebd41 · inbound

Global strong solutions for 1D compressible Navier-Stokes/Cahn-Hilliard equations with vacuum cites this paper.

Global strong solutions for 1D compressible Navier-Stokes/Cahn-Hilliard equations with vacuum Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-06-30T02:34:13.588706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T02:28:58.375231Z digest=sha256:65dc9eb5fdd76e738efe6a2dd36277cb037a7ef9479939edccccfdaecdef8593