Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T10:46:14.720225Z
Paper Citation Record · LEDGER
Finite time blow-up in a 1D model of the incompressible porous media equation
As of 12 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2412.16376.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:02:03.869146Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T15:02:03.960932Z
Reference resolution
34 of 34 outbound references displayed
- verified exact2
- verified fuzzy17
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8868ded8-56e2-4b02-907b-6bbeaba874e6 · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.852752Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9b88402b-a481-4b10-bd33-25c5b792408b · outbound
This paper cites Non Existence and Strong Ill-Posedness in $H^2$ for the Stable IPM Equation.
Finite time blow-up in a 1D model of the incompressible porous media equation Non Existence and Strong Ill-Posedness in $H^2$ for the Stable IPM Equation
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T10:46:14.988320Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8db1c4df-f7ff-4cb2-ae86-f609bd7fb907 · outbound
This paper cites Bianchini, T.
Finite time blow-up in a 1D model of the incompressible porous media equation Bianchini, T
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.826591Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4d374831-f443-42bf-8d87-ee244a5839f1 · outbound
This paper cites Castro and D.
Finite time blow-up in a 1D model of the incompressible porous media equation Castro and D
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.800974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8607ebbd-f638-43bc-a4e4-f9d19439cc24 · outbound
This paper cites Castro, D.
Finite time blow-up in a 1D model of the incompressible porous media equation Castro, D
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.776691Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d81733fb-8dc8-449a-8b18-9113e371be17 · outbound
This paper cites Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis.
Finite time blow-up in a 1D model of the incompressible porous media equation Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:46:14.440663Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7d95e501-e772-40a1-b417-10e7c5dafa6b · outbound
This paper cites Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous Numerics.
Finite time blow-up in a 1D model of the incompressible porous media equation Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous Numerics
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:46:14.453622Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 96b9cfa2-a60d-4808-be31-5b09f71ff415 · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.747523Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5d08dddd-c17d-48ae-be05-f997d5b395a6 · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.726700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fb55fa56-684c-458e-844c-aba6bf7c5fe0 · outbound
This paper cites Constantin, Analysis of hydrodynamic models, CBMS-NSF Regional Conference Series in Applied Mathemat- ics, 90, SIAM, Philadelphia, PA, 2017.
Finite time blow-up in a 1D model of the incompressible porous media equation Constantin, Analysis of hydrodynamic models, CBMS-NSF Regional Conference Series in Applied Mathemat- ics, 90, SIAM, Philadelphia, PA, 2017
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.686768Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6936f2f5-862b-419d-b36c-8d7f8cf0d473 · outbound
This paper cites Constantin, P.
Finite time blow-up in a 1D model of the incompressible porous media equation Constantin, P
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.658304Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bf6cad88-1063-49dc-a47a-87d069b72127 · outbound
This paper cites Constantin, A.
Finite time blow-up in a 1D model of the incompressible porous media equation Constantin, A
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.609050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 85e48791-3ad4-44c9-926b-a1937be368a5 · outbound
This paper cites C´ ordoba, D.
Finite time blow-up in a 1D model of the incompressible porous media equation C´ ordoba, D
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.575572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 73468c76-ae6c-4def-95d5-aefbb49b6f50 · outbound
This paper cites C´ odorba, F.
Finite time blow-up in a 1D model of the incompressible porous media equation C´ odorba, F
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.536572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a8d4e911-f3a5-4e9f-9f9e-b15cb7509af2 · outbound
This paper cites Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source.
Finite time blow-up in a 1D model of the incompressible porous media equation Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:46:14.561969Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6ef49f5-dbee-465a-a049-5de7548559bf · outbound
This paper cites De Gregorio On a one-dimensional model for the three-dimensional vorti city equation, J.
Finite time blow-up in a 1D model of the incompressible porous media equation De Gregorio On a one-dimensional model for the three-dimensional vorti city equation, J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.504107Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 86eb9c7d-f20f-4194-876c-d1d34bb52b61 · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.476639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 61155721-1b58-44cb-b03b-f811de59c8d6 · outbound
This paper cites Dong, Well-posedness for a transport equation with non-local vel ocity, J.
Finite time blow-up in a 1D model of the incompressible porous media equation Dong, Well-posedness for a transport equation with non-local vel ocity, J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.452156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 581b7642-0fda-4cf1-8306-82f6a01cbc9a · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.422185Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b1f10452-1674-473a-90b9-c48bb1ad88c6 · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.374268Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7d620aab-45ba-4098-bda1-5d9995579cc8 · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.348259Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5c9c00df-0c7e-4d7b-a2a6-810a8b6c06b9 · outbound
This paper cites Hoang and M.
Finite time blow-up in a 1D model of the incompressible porous media equation Hoang and M
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.322010Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ae4af0a2-d83b-48b6-b23e-1662c3bfeac5 · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.291722Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e42538e9-807f-41f7-bef4-de96358fe8bd · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.256714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1a3c60a4-2d8c-4faf-b8ae-d2a791be9770 · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.229497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2c9a5ecc-dc74-4179-bb69-9cf70be661b4 · outbound
This paper cites Kiselev, Regularity and blow up for active scalars, Math.
Finite time blow-up in a 1D model of the incompressible porous media equation Kiselev, Regularity and blow up for active scalars, Math
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.202539Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ba3a05f6-a069-4c10-a893-9f2043fef6a5 · outbound
This paper cites Kiselev, F.
Finite time blow-up in a 1D model of the incompressible porous media equation Kiselev, F
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.158220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 48d19a17-dc95-495f-b9a8-01f774274221 · outbound
This paper cites Kiselev and Y.
Finite time blow-up in a 1D model of the incompressible porous media equation Kiselev and Y
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.129966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b5899e77-9af4-478c-b0d0-41bb22efe3bc · outbound
This paper cites Li and J.
Finite time blow-up in a 1D model of the incompressible porous media equation Li and J
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.097715Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9cc99c14-b520-4fc3-98b0-4487769f602b · outbound
This paper cites an unresolved cited work.
Finite time blow-up in a 1D model of the incompressible porous media equation Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T10:46:15.071086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 27bcd68a-438c-4fe0-879f-c174ca7842e2 · outbound
This paper cites Okamoto, T.
Finite time blow-up in a 1D model of the incompressible porous media equation Okamoto, T
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.046101Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 69e2ddaa-9bbb-4bcb-977b-fbee05f6a019 · outbound
This paper cites Silvestre and V.
Finite time blow-up in a 1D model of the incompressible porous media equation Silvestre and V
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T10:46:15.021336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1c3591b7-2bd4-4672-b3af-0aacb48a4216 · outbound
This paper cites The 2D Muskat Problem I: Local Regularity on the Half-plane, Plane, and Strips.
Finite time blow-up in a 1D model of the incompressible porous media equation The 2D Muskat Problem I: Local Regularity on the Half-plane, Plane, and Strips
Reference 33
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T10:46:14.845920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5e8a0e3e-a1d2-4283-956b-5b3466809b5f · outbound
This paper cites The 2D Muskat Problem II: Stable Regime Small Data Singularity on the Half-plane.
Finite time blow-up in a 1D model of the incompressible porous media equation The 2D Muskat Problem II: Stable Regime Small Data Singularity on the Half-plane
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T10:46:14.720225Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation efb3ccfa-0253-4cd2-b88a-696496d03fa8 · inbound
Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations cites this paper.
Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations Finite time blow-up in a 1D model of the incompressible porous media equation
Reference 22
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T15:02:03.964260Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.