Pith. sign in

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 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:155af160472b7befbd979b2dffd08bcfa872cd0f17a75d9302eb94d803391569

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:4b16e38dd42ee222d5609a28e5058f8d850a85171a875fdde7d86142be69f288

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:ddb21b7129ab3d00ea6cd77d37e9d4b37d6ff2fc76cd4e89373d16b6e2f77f58

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:41d72e85edeb655004de9ca3baed89c2c12fb599bb662833e5e1a302ad04d40c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:e46b50f5809a42e38a7f730636b675d5f24008e09e9ca1b2c2581debdf779b5f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:1286aa68e9d8ce55667bdbce1e45742e89e119d2b5b5982c9ea9eca08bfd1e65

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:37249e20de5cfd64f2b2c8f9d33628a545c26fc2b020fd41aaf59bc1c21bf276

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:019c6be89fa626bf07b3de4d2aab6349ab8d92114a27a685ed5060529ead3e2d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:747b93586b5b8b4e5ab4d9a79a5bbe52ee488bd5b89f031760e295c0539b796e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:09f872d605a44600ad598e29a83a31d970cb60c8059ed32d0af6ce94803ff7dd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:170493cbbace82697f15ba0c7f4c05e386ed9caf65e11e1b308aa08dd33bac76

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:c81da332ad967e3d20cc532e9ec5d0585d48290a4ec364b132fd56e77cbfe9e4

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:a1d814fd0e3d5491a2719dec3685e24af58590b7872b3475c6da4caf552da804

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:16cbca51c6992b6a8ec48bc0507cd546781ae209dc660ad188d333572178f0f0

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:1042e52e28bfbe2a7c891f2a5c6d93d13032cd2ae14040a24e6ec16e068cdef9

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:6b143ebf63384be25b141d959f08aa143c2d166ce16fef8ff3fd6a828e5bedfb

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:2dcc7c3056758793459731ebf3bf087266294789d058af1bd59861c0abbe0ea8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:316d9d212dd5cc51238ff0dbc004e296314233a24968e72fd6a05854d3a9b402

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:b9789251bb6c49532261d883a6586bf6894c0f025ba65e23408e95add73b1ff7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:cc5f8af4c76ad6982bbd49c964e190a2b809b992ca230641490acfbac67da6bf

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:bca52339fa8c553c1bef3602f5225b7e7b5043697205267d79dc13ab30c8ffc7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:68ff06194522bc97d7a671a2ca22d00ed05b23422b86139db9ef496248ea1f96

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:85b571224751e17e9a6bca46c1ad0bc0aeda018319a6df62c06fb726af5ff8b9

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:29a7a609638782eb324d3284ebbb3212526232f6068f3c942ebd9a98ace292e7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:a8cf378f0064eb16fe24c689bb8d685b71a656ece3bbea739f52d4b29cad3ce4

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:9cd5cac1777f2b1f1df22e50c2d42b289d5a69c469e23659d35e67cf05e46e62

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:486841992cd6e32d9cf3b7781d2821ee6f6ee3ee02d8fe3bc9752b14a346b046

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:731d39ebbc51329dd87fdb413fcee3b704b1bb1cdd74fb4ca99ae66dcf25225c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:c5fcafacdc6053e723c279e90f3d1dfcf7bc6e2c46709202e6b064c13e268218

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:0017dbd9959511a6e2a8a74b220027cf98079ba6468e760f401ca4dd55c29551

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:f1f304c6e646ad369f1473af6b8e428cfe356d50e3e2f6dc5898217bad7451af

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:2aa48332c925f067708fe54c0a6cdd701bca00b496e16299eebeb48f2100fc5f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:87f69a8cf5a58a12b8553012cfefa1fe4e13a2c3b90740206bf537eeb18126f4

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:902e8eb3c9e47aae6a1dc8eff8484022f2ebd1f386d6db3065a76de9150f14fe

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:bb90cadfa5d9f1b2589a9a71488f90a1e75a81fd1fd04251e6c8753d93c6a4fe

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:6ee6cc80e956f000aeeea2ce9fddae8b8e7051228e79e8027c58b53dc3104936

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:db57f8b052975d7d808feafea2db65583ab509c4703b8bf152f1820a16fe34e5

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:3e8fb994f6dc87a69af873db26f74aca0388d53f867d1d3ea6ae2fb1ba054dc3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:e14e78a1dd2cd17ca0dde36b7bdc8fc901a9ac78f4364e0457a6dd5ff4cd69ad

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:d0967a196063bdc68b7a25037e1cab1fc42875e75b11952f0c984195fb447f9e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:4f2a053863d66deb8cdf6d767e8716f38b3dad6b0ec78707af07d8fe37710204

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:51e1392b83cedb7fe7a9f664d4dedb96fd27cdb6e8916b2cb186dc52a12c6e83

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:0efb05862dbb5d181c39d6f38379a9a2fda9e8161a545cdf5d2cf627420a9f2f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:1e44e64b54453d78e3251b3a307c9f103c7b71ace74998ec18d002e9b3f27de1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T13:12:11.284571Z digest=sha256:cc2eaf97856debfb83d4ac5dfdae15dc8c9b13756f74280397c24f3222c274be

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T02:28:58.375231Z digest=sha256:decef7fa035714225a24a4b13be51b1847b1bccd43515790a27c628839febaa9