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Paper Citation Record · LEDGER

Structure of undercompressive shock waves in three-phase flow in porous media

As of 19 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 2 inbound Pith citation observations for arXiv:2412.04439.

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

pith.paper-citation-record.v1
2412.04439 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:30:41.421219Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:19:31.018246Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T00:14:27.758057Z

Reference resolution

54 of 54 outbound references displayed

  • verified exact21
  • verified fuzzy10
  • unresolved11
  • parse uncertain0
  • malformed identifier12
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1e268077-f7e6-4278-99e0-07834ec6778d · outbound

This paper cites Abreu, Numerical modelling of three-phase immiscible flow in hetero- geneous porous media with gravitational effects, Math.

Structure of undercompressive shock waves in three-phase flow in porous media Abreu, Numerical modelling of three-phase immiscible flow in hetero- geneous porous media with gravitational effects, Math

Reference 1

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.757882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7626fd57-78b4-485a-add2-f5dbbca95e71 · outbound

This paper cites Abreu, J.

Structure of undercompressive shock waves in three-phase flow in porous media Abreu, J

Reference 2

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.744754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 1df6e1fe-77ad-48a0-9760-38c816a0d169 · outbound

This paper cites Marchesin, B.

Structure of undercompressive shock waves in three-phase flow in porous media Marchesin, B

Reference 3

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.728568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.218447Z digest=sha256:be7816954dec22d2caaf5ba2fdc788f7caf4d3e10014bc854978c6b488a80561

Observation 8b328a48-c69c-49da-8854-5fa363969be4 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.713174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ad24e7f8-13a3-4b76-b381-9eb8740fe7ae · outbound

This paper cites Mehrabi, K.

Structure of undercompressive shock waves in three-phase flow in porous media Mehrabi, K

Reference 5

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.699910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 20c764e2-3ba6-4f54-9914-bf4068775675 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:30:42.247637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 4c182e2a-c946-466d-93f3-59533193e627 · outbound

This paper cites Isaacson, D.

Structure of undercompressive shock waves in three-phase flow in porous media Isaacson, D

Reference 7

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.686290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.238383Z digest=sha256:3f1ed177c3452219b0dd95c2fb7f51e62ae923ec0a5e0cb7ad5985a78e939678

Observation bf25d3ff-3869-4c47-9467-9178c4497c9f · outbound

This paper cites Castaneda, D.

Structure of undercompressive shock waves in three-phase flow in porous media Castaneda, D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:30:42.233531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.242526Z digest=sha256:a12b836da188c309d298decf16f0ed530d5c0f304bfb01a46ce74dfaeb40325a

Observation 2303818d-0d51-44f2-98f8-0c8ba51a07b7 · outbound

This paper cites Isaacson, D.

Structure of undercompressive shock waves in three-phase flow in porous media Isaacson, D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:30:42.221110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2abeab0f-b2dc-425c-9ac3-bd05f04dcf40 · outbound

This paper cites Matos, P.

Structure of undercompressive shock waves in three-phase flow in porous media Matos, P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:30:42.209755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.250351Z digest=sha256:4450e5da1a3e64fea3b36c76c593fe7295ab8517f3cc47654096b57b72706808

Observation 5497aa05-e007-474c-b198-f30c48c6ae21 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 11

Resolution
malformed identifier
no resolver link, observed 2026-08-11T21:30:41.253787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:30:41.253787Z digest=sha256:05ba2971a59032720a9576fc4b4f6f2948f274b7f2d15728419724deeff8deef

Observation 5d3b87e6-7282-4191-94cc-7a1a41832231 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 12

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.665702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.257477Z digest=sha256:fee8e956dc0f0a567773f6820c98db606c5e260b0316355a7b5f4c180a499c1b

Observation 279af9ee-d29a-4673-add2-7e0f8f10d965 · outbound

This paper cites Fayers, Extension of Stone’s method 1 and conditions for real char- acteristics in three-phase flow, SPE Reservoir Engineering 4 (04) (1989) 437–445.

Structure of undercompressive shock waves in three-phase flow in porous media Fayers, Extension of Stone’s method 1 and conditions for real char- acteristics in three-phase flow, SPE Reservoir Engineering 4 (04) (1989) 437–445

Reference 13

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.653719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.260887Z digest=sha256:080ef03acc4f1e90ee98fe3691dd3ad8a7fd4a33c037c46f45c77a9ef4890c4c

Observation 6923e405-6454-49aa-84f0-2f81b94e257e · outbound

This paper cites Holden, On the strict hyperbolicity of the Buckley–Leverett equations for three-phase flow in a porous medium, SIAM J.

Structure of undercompressive shock waves in three-phase flow in porous media Holden, On the strict hyperbolicity of the Buckley–Leverett equations for three-phase flow in a porous medium, SIAM J

Reference 14

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.641368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.264248Z digest=sha256:331d963e7afd5b7b824d1ec5afe2f0480ff2306943cea004a354763179b2f265

Observation 168a6665-08e0-4865-af22-b14371b19a4a · outbound

This paper cites Holden, On the Riemann problem for a prototype of a mixed type conservation law, Comm.

Structure of undercompressive shock waves in three-phase flow in porous media Holden, On the Riemann problem for a prototype of a mixed type conservation law, Comm

Reference 15

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.628813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f6fe8d4b-aead-4e6b-92bb-96af9c710e51 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.617621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.271057Z digest=sha256:e21aefb962d39ddef314ea46d59626ec2bd43e981825d34a5d55f1225919db8c

Observation be32f5fb-f4a4-43fe-90bb-b31a0c7a780d · outbound

This paper cites Matos, D.

Structure of undercompressive shock waves in three-phase flow in porous media Matos, D

Reference 17

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.604481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.274977Z digest=sha256:555efacee41cd949bb3299bfd15e3eed6948faf81a9a7fbe7d5994d04ff6df2f

Observation 35e96dee-2627-4faa-9c72-cd5d5ac8ac14 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 18

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T21:30:42.198091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.279442Z digest=sha256:feddd5a15ce206896c2981d785f586e831d6cf1e1b215069a7e66e2e43e981ac

Observation 702bf173-2dfa-44eb-8bda-5585759cb21d · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:30:42.184061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0846e09f-7609-4cbf-8015-0259c626fd4d · outbound

This paper cites Marchesin, A.

Structure of undercompressive shock waves in three-phase flow in porous media Marchesin, A

Reference 20

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T21:30:42.170896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.288308Z digest=sha256:ccaa314b395ed9cb5e7a55026d16299851bf331d49db77ab7950a75ce8b32065

Observation 4cc0c7a7-f6ea-4b49-a9c9-12f116a8935c · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 21

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.590520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation db2412ff-f40a-4335-b69e-a9a304e7835c · outbound

This paper cites Majda, R.

Structure of undercompressive shock waves in three-phase flow in porous media Majda, R

Reference 22

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T21:30:42.157563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.297165Z digest=sha256:90c34369053a7a3aa0c8167bf4883d1208fa0a0288b1401dc93dff738f880d20

Observation ffc157b5-0569-4b8f-a7c8-08807765430f · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:30:42.144404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.300933Z digest=sha256:48699cee518dbb40be9fbf40c7adbb53f4385f005bc27309b1b9d2f804c8a701

Observation 6bad6e81-b9bc-4127-b789-6c788e7a1753 · outbound

This paper cites Marchesin, C.

Structure of undercompressive shock waves in three-phase flow in porous media Marchesin, C

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:30:42.129026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 9de92226-f929-4784-bb92-1ac987349cc5 · outbound

This paper cites Azevedo, C.

Structure of undercompressive shock waves in three-phase flow in porous media Azevedo, C

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:30:42.115113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.308632Z digest=sha256:d7d895283f54a755b349df68bb0d377c63cabd171475619e1168a86bb3c47aa3

Observation d879ce12-cb77-44d9-b2a0-5c699946b57e · outbound

This paper cites Guckenheimer, P.

Structure of undercompressive shock waves in three-phase flow in porous media Guckenheimer, P

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:30:42.099751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3d2a72ae-a6df-4522-b7c4-1ef5c8ea46d2 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:30:42.088075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.316464Z digest=sha256:c018b1252d0ba03bc556f1c6f76c1d0d7683c993cc48618b684fe7c99fad39f0

Observation 7bf943ef-2b3d-4c1b-8657-9bda87cf8ccc · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 28

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T21:30:42.077647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.320649Z digest=sha256:b1c9d22b1773c1b3159edbc9642882aaeb2e25ce9aa4e43c116ec2562af2d700

Observation c906306f-69b8-4bde-811e-05b0c6c0ba96 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 29

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.577300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.324523Z digest=sha256:6a22b958d0bba511e47ac055aae03d996b9b8266cb790074693ca5affebe9b32

Observation de826b4d-ad33-4d72-8c4b-3bf2b6d302d9 · outbound

This paper cites Lozano, Diffusive effects in Riemann solutions for the three phase flow in porous media, Ph.D.

Structure of undercompressive shock waves in three-phase flow in porous media Lozano, Diffusive effects in Riemann solutions for the three phase flow in porous media, Ph.D

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:30:42.065927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.328472Z digest=sha256:6313db30d07e20ca8e01dfecd8e66e5ecd29500cb5843e77834550babaf02d4d

Observation f0dde239-9148-499e-8ee0-24f363f8f5fd · outbound

This paper cites Andrade, A.

Structure of undercompressive shock waves in three-phase flow in porous media Andrade, A

Reference 31

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.564839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.332310Z digest=sha256:dbc7e88607fbd20d9fbe134bb7ad5c3d1d9c2c40483b03dce6171057cd418dc2

Observation 4000a981-bd5d-4b5d-abdb-b2abc03003fb · outbound

This paper cites Shearer, D.

Structure of undercompressive shock waves in three-phase flow in porous media Shearer, D

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:30:42.053708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.336124Z digest=sha256:178802fac2d54a5eda620c2324df270d841c26d83fd689eb33650b18493eab49

Observation c0d53121-7dc6-4dee-8bfa-f0c67e2ea74a · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 33

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.539760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.343933Z digest=sha256:f2c263a82cb6130729aa5f1141f6b889a351ddaf183fdee6583f5d1b5a095990

Observation 88b4f8eb-fc09-430c-a9a3-81a97b63ca5a · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:30:42.042314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.348103Z digest=sha256:b2cfa875cb348803426f6dfbbdc3ee10312f90d44361be7293aaa7c3360a5246

Observation f2148367-696b-4d33-b9ee-fa7996861527 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T21:30:41.352776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:30:41.352776Z digest=sha256:a4470badefcc32d8dc7e65eae95379837eeb6f591757975512867b85a8ab0285

Observation 9d647327-9979-4d85-9ecc-ede4d742f422 · outbound

This paper cites Smoller, Shock waves and reaction—diffusion equations, Vol.

Structure of undercompressive shock waves in three-phase flow in porous media Smoller, Shock waves and reaction—diffusion equations, Vol

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:30:42.029596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.356919Z digest=sha256:6d9a5c0cfd6223566eab149f9646d8a7dc0aa560a61e188e96d086ec9fd80b6c

Observation abc978af-15b0-4336-b6eb-3f4f658924d2 · outbound

This paper cites Liu, The Riemann problem for general systems of conserva- tion laws, J.

Structure of undercompressive shock waves in three-phase flow in porous media Liu, The Riemann problem for general systems of conserva- tion laws, J

Reference 37

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T21:30:42.017108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.360931Z digest=sha256:09849578e141ee51743b66b0eced0fe3175f0d5bb7c31b4983227ea33b336d74

Observation b32fd946-c4dd-4708-b688-eeac7e803f5b · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:30:42.004221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.364881Z digest=sha256:9ec2fe6a9d2aeab658df8030bb4f1940a37f31e246e76b6b808f1241d7ea1066

Observation 6a12c97f-6edd-4fb0-a4db-a72fb60aa471 · outbound

This paper cites Petrova, B.

Structure of undercompressive shock waves in three-phase flow in porous media Petrova, B

Reference 39

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T21:30:41.986155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.368713Z digest=sha256:ee7e6c1bbaca30a88468a780449b3e69ca072a075740f00f10218e6f88bb04d9

Observation 2eb69f71-89e1-40eb-b084-707b56fa79c7 · outbound

This paper cites Schecter, D.

Structure of undercompressive shock waves in three-phase flow in porous media Schecter, D

Reference 40

Resolution
malformed identifier
no resolver link, observed 2026-08-11T21:30:41.372405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:30:41.372405Z digest=sha256:b2fc6f9cde3d47ba91991dc5b31ba66ed3ddd979d138e7d388fbeb193b7f598a

Observation d1c5af45-7498-4fee-86ff-38e83df8bf58 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 41

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T21:30:41.973364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.376252Z digest=sha256:e6b7ba95ad647a269cdcb683c73c3a707876097ab35fcfd8b4448e0d54453ca9

Observation 4030cb86-54ea-4196-9369-1f170d5ab4bc · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:30:41.959925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.380639Z digest=sha256:4a5156e0a8d3ed4b477f2fff5ec209d4921acb66f1b7b591b522174e475e980d

Observation 8c4e771f-239d-4800-8701-8fb03df9741e · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:30:41.945957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.384742Z digest=sha256:06ef639f0c8f80a5ff5239d4bf1f613495eceb0b56a963359dcc86d82198cbf4

Observation b8e0071b-cdce-43e5-b246-ec5b115bc8a9 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:30:41.930942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.392526Z digest=sha256:8afb099ce8024a1f5780e6e3dbb980e0e733e94e5deb9df7f06b09e91c80f1a2

Observation cc3e83c8-bef0-468a-bc2e-acddf681e912 · outbound

This paper cites Matos, A.

Structure of undercompressive shock waves in three-phase flow in porous media Matos, A

Reference 45

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.494136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.396588Z digest=sha256:9c932d36c0092b14a1aa42b5ad4634a8158da454ce7cfd82a813b38c434256f0

Observation 04c27e1a-cbbf-4a1c-96bc-47e4dca66bee · outbound

This paper cites Ole˘ ınik, On the uniqueness of the generalized solution of the Cauchy problem for a nonlinear system of equations occurring in mechanics, Usp.

Structure of undercompressive shock waves in three-phase flow in porous media Ole˘ ınik, On the uniqueness of the generalized solution of the Cauchy problem for a nonlinear system of equations occurring in mechanics, Usp

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:30:41.917838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.400016Z digest=sha256:671af550a4108f92b087a39d6bfd8c6ba39d736180ca37cc6b51685be4cbafdf

Observation 7316e600-2177-4520-8fb0-3dd2839c4a7e · outbound

This paper cites Castañeda, E.

Structure of undercompressive shock waves in three-phase flow in porous media Castañeda, E

Reference 47

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.479791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.403535Z digest=sha256:5285561f071e164af937bdd774f43d8e8b8375f3c862da522d2dfe5ba67f742c

Observation dd954cf0-938f-4dbf-8fab-c26be7d67dea · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:30:41.904500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.406927Z digest=sha256:de9776359ba945267a5db8ecdcfeb8eba6e25173eadc481429dd34f360188023

Observation 5e42ca37-5f4a-4e87-bf78-7ec3de4bd351 · outbound

This paper cites Wendroff, The Riemann problem for materials with nonconvex equa- tions of state i: Isentropic flow; ii general flow, J.

Structure of undercompressive shock waves in three-phase flow in porous media Wendroff, The Riemann problem for materials with nonconvex equa- tions of state i: Isentropic flow; ii general flow, J

Reference 49

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.465335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.410476Z digest=sha256:be931e8462952d08ec3ade6c5d913e3ad5f0261a73853f16f4cf28399a895367

Observation e1460828-9bcf-434d-90b5-fb524e2eb274 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 50

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T21:30:41.886230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.414317Z digest=sha256:67c5d7ae7a3de1dc2dcb55412a4cdae0bc04a84329ae80844cdc6705f86b6504

Observation 9388498a-a3a2-470d-a065-40c47fc1276a · outbound

This paper cites Lambert, A.

Structure of undercompressive shock waves in three-phase flow in porous media Lambert, A

Reference 51

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T21:30:41.873377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.417888Z digest=sha256:4fad6a3c97ea22367caf56d0fd44b03b4e6ec229980579da967b4ef4c23705e4

Observation 889b2c91-dd24-48cf-b087-2c814bb54ee5 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 52

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T21:30:41.860690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.421219Z digest=sha256:ffc82be73ce625a04e3e1eece2e2d9af11f1110a9eae28627bba81be24043017

Observation f04175de-58c3-461b-b9c0-e947925409a6 · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 320

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.552182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.339774Z digest=sha256:114a4655c3d639b2140d2a16a821723200fbbbced7c1863210bcdbbea37475b4

Observation f71fe975-e365-4d49-a799-265f026e90fb · outbound

This paper cites an unresolved cited work.

Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work

Reference 364

Resolution
verified exact
doi, observed 2026-08-11T21:30:41.511157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T21:30:41.388527Z digest=sha256:d144c8b00753eac256d5ca4a1e623a584a705b3cce2a70f0f4f114eca2d3ecfe

Pith citing papers

Observation f0455a4b-082b-400b-8967-2dc9fe1c6dda · inbound

The Riemann problem for three-phase foam flow in porous media cites this paper.

The Riemann problem for three-phase foam flow in porous media Structure of undercompressive shock waves in three-phase flow in porous media

Reference 57

Resolution
verified exact
arxiv_id, observed 2026-05-22T00:14:27.760673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-22T00:13:44.764089Z digest=sha256:0e8dee98dc5d9c1b2ff456b4e6dabcc3f00885274cb72a6caaa96391c6a8a056

Observation 5db123d6-fd38-42ee-a4b4-9942ef1be581 · inbound

Displacement of three-phase flow for Heavy Oil: Riemann Solutions cites this paper.

Displacement of three-phase flow for Heavy Oil: Riemann Solutions Structure of undercompressive shock waves in three-phase flow in porous media

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T05:19:31.018246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:19:31.018246Z digest=sha256:126540c5d278464e5e23011b1175d2c27ff4fa976b85113aaf8d1103f3159755