Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T21:30:41.421219Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T21:30:41.421219Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:19:31.018246Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-22T00:14:27.758057Z
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1e268077-f7e6-4278-99e0-07834ec6778d · outbound
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
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.
Observation 7626fd57-78b4-485a-add2-f5dbbca95e71 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Abreu, J
Reference 2
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.
Observation 1df6e1fe-77ad-48a0-9760-38c816a0d169 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Marchesin, B
Reference 3
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.
Observation 8b328a48-c69c-49da-8854-5fa363969be4 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 4
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.
Observation ad24e7f8-13a3-4b76-b381-9eb8740fe7ae · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Mehrabi, K
Reference 5
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.
Observation 20c764e2-3ba6-4f54-9914-bf4068775675 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 6
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.
Observation 4c182e2a-c946-466d-93f3-59533193e627 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Isaacson, D
Reference 7
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.
Observation bf25d3ff-3869-4c47-9467-9178c4497c9f · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Castaneda, D
Reference 8
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.
Observation 2303818d-0d51-44f2-98f8-0c8ba51a07b7 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Isaacson, D
Reference 9
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.
Observation 2abeab0f-b2dc-425c-9ac3-bd05f04dcf40 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Matos, P
Reference 10
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.
Observation 5497aa05-e007-474c-b198-f30c48c6ae21 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d3b87e6-7282-4191-94cc-7a1a41832231 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 12
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.
Observation 279af9ee-d29a-4673-add2-7e0f8f10d965 · outbound
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
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.
Observation 6923e405-6454-49aa-84f0-2f81b94e257e · outbound
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
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.
Observation 168a6665-08e0-4865-af22-b14371b19a4a · outbound
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
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.
Observation f6fe8d4b-aead-4e6b-92bb-96af9c710e51 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 16
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.
Observation be32f5fb-f4a4-43fe-90bb-b31a0c7a780d · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Matos, D
Reference 17
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.
Observation 35e96dee-2627-4faa-9c72-cd5d5ac8ac14 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 18
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.
Observation 702bf173-2dfa-44eb-8bda-5585759cb21d · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 19
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.
Observation 0846e09f-7609-4cbf-8015-0259c626fd4d · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Marchesin, A
Reference 20
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.
Observation 4cc0c7a7-f6ea-4b49-a9c9-12f116a8935c · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 21
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.
Observation db2412ff-f40a-4335-b69e-a9a304e7835c · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Majda, R
Reference 22
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.
Observation ffc157b5-0569-4b8f-a7c8-08807765430f · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 23
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.
Observation 6bad6e81-b9bc-4127-b789-6c788e7a1753 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Marchesin, C
Reference 24
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.
Observation 9de92226-f929-4784-bb92-1ac987349cc5 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Azevedo, C
Reference 25
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.
Observation d879ce12-cb77-44d9-b2a0-5c699946b57e · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Guckenheimer, P
Reference 26
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.
Observation 3d2a72ae-a6df-4522-b7c4-1ef5c8ea46d2 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 27
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.
Observation 7bf943ef-2b3d-4c1b-8657-9bda87cf8ccc · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 28
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.
Observation c906306f-69b8-4bde-811e-05b0c6c0ba96 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 29
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.
Observation de826b4d-ad33-4d72-8c4b-3bf2b6d302d9 · outbound
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
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.
Observation f0dde239-9148-499e-8ee0-24f363f8f5fd · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Andrade, A
Reference 31
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.
Observation 4000a981-bd5d-4b5d-abdb-b2abc03003fb · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Shearer, D
Reference 32
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.
Observation c0d53121-7dc6-4dee-8bfa-f0c67e2ea74a · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 33
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.
Observation 88b4f8eb-fc09-430c-a9a3-81a97b63ca5a · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 34
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.
Observation f2148367-696b-4d33-b9ee-fa7996861527 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d647327-9979-4d85-9ecc-ede4d742f422 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Smoller, Shock waves and reaction—diffusion equations, Vol
Reference 36
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.
Observation abc978af-15b0-4336-b6eb-3f4f658924d2 · outbound
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
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.
Observation b32fd946-c4dd-4708-b688-eeac7e803f5b · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 38
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.
Observation 6a12c97f-6edd-4fb0-a4db-a72fb60aa471 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Petrova, B
Reference 39
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.
Observation 2eb69f71-89e1-40eb-b084-707b56fa79c7 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Schecter, D
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1c5af45-7498-4fee-86ff-38e83df8bf58 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 41
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.
Observation 4030cb86-54ea-4196-9369-1f170d5ab4bc · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 42
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.
Observation 8c4e771f-239d-4800-8701-8fb03df9741e · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 43
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.
Observation b8e0071b-cdce-43e5-b246-ec5b115bc8a9 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 44
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.
Observation cc3e83c8-bef0-468a-bc2e-acddf681e912 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Matos, A
Reference 45
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.
Observation 04c27e1a-cbbf-4a1c-96bc-47e4dca66bee · outbound
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
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.
Observation 7316e600-2177-4520-8fb0-3dd2839c4a7e · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Castañeda, E
Reference 47
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.
Observation dd954cf0-938f-4dbf-8fab-c26be7d67dea · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 48
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.
Observation 5e42ca37-5f4a-4e87-bf78-7ec3de4bd351 · outbound
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
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.
Observation e1460828-9bcf-434d-90b5-fb524e2eb274 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 50
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.
Observation 9388498a-a3a2-470d-a065-40c47fc1276a · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Lambert, A
Reference 51
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.
Observation 889b2c91-dd24-48cf-b087-2c814bb54ee5 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 52
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.
Observation f04175de-58c3-461b-b9c0-e947925409a6 · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 320
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.
Observation f71fe975-e365-4d49-a799-265f026e90fb · outbound
Structure of undercompressive shock waves in three-phase flow in porous media Unresolved cited work
Reference 364
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.
Observation f0455a4b-082b-400b-8967-2dc9fe1c6dda · inbound
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
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.
Observation 5db123d6-fd38-42ee-a4b4-9942ef1be581 · inbound
Displacement of three-phase flow for Heavy Oil: Riemann Solutions Structure of undercompressive shock waves in three-phase flow in porous media
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.