Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T21:38:43.132501Z
Paper Citation Record · LEDGER
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension
As of 23 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2501.04576.
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 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:13:47.995702Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T11:13:52.639530Z
Reference resolution
28 of 28 outbound references displayed
- verified exact1
- verified fuzzy8
- unresolved19
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 71dd547f-9fad-428d-92d7-7f3b02c31028 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:44.492448Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c8bb87dd-144e-471a-8ffc-7bf35ccf62ba · outbound
This paper cites Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T21:38:42.700896Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cedc617c-1a58-4a07-be3c-f44382b1f6ca · outbound
This paper cites M., Theriot, J.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension M., Theriot, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:38:44.469732Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 129f6d2f-6ed1-4ca5-b43c-e206aa840030 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:44.428978Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f4de60db-d01f-4814-9e9f-298fac0ff9ef · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:44.345558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 40d5b00e-29ea-491c-aa8f-721ae64c0de1 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:44.319950Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8efe325d-46c3-4775-b298-91d98e0578ad · outbound
This paper cites and Rybalko, V.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Rybalko, V
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:38:44.302546Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bd0d6d11-9e21-4612-bf37-e08b4b9e1f06 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:44.248497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9e872dd9-f84e-4255-ba24-49b0422657e8 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:44.146625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3273e471-bb6c-4fcf-9a9e-550d0aaf295f · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:44.040099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c38ac940-4bce-4762-a2fb-5a9de45ed898 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:44.015910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 40a9e2aa-690b-49d2-875f-b7f8987cbc6d · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:44.000020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation acf8253e-9b24-407c-b37a-e0ce608458ef · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:43.951297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0174693a-05e7-43a8-a5f0-be1b32e6b6ee · outbound
This paper cites and Hu, B.
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:38:43.758806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 987b0fb8-97e9-4d50-b318-7cc7a77bca99 · outbound
This paper cites and Reitich, F.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Reitich, F
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:38:43.706584Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ddf15f9c-daf5-4c11-a9e3-118c2a265b3c · outbound
This paper cites M., Barnhart, E.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension M., Barnhart, E
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:38:43.690913Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2001dcb9-38f5-4a0d-ab14-a68a7c7a1724 · outbound
This paper cites Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T21:38:43.179903Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9f8eccdd-9b4e-49b4-9b46-69dcc402d87e · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:43.667075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 997f84ab-32e5-46b7-ba13-e379f7f64dc4 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:43.649930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation adea48d9-1313-41f3-b18c-8eed73936cc2 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:43.628049Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 17fb752f-964c-4a1f-ab13-572e17c8169d · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:43.515342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 99bf6114-a438-4811-b5fc-2338b0e6b566 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:43.428164Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 458e50b8-8d25-4029-ae43-742a459af653 · outbound
This paper cites and Truskinovsky, L.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Truskinovsky, L
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:38:43.409841Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1619d88b-3f8b-4610-a69e-69f0c5d42aa8 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:43.370753Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 951ca60a-2627-4cf6-81c7-81d1171e27f3 · outbound
This paper cites and Berlyand, L.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Berlyand, L
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:38:43.350210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a31c9ba2-c58e-4890-b671-625aa0c8ca13 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:43.328930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b13e6e82-11d1-484c-b2a6-05b89a381012 · outbound
This paper cites an unresolved cited work.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:38:43.307386Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d4833e81-feb8-4ded-9e39-478f01d8d3e0 · outbound
This paper cites and Aranson, I.
Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Aranson, I
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:38:43.259166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
Observation febc2abd-30b3-45a6-b9e3-d384d2588c4f · inbound
Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion cites this paper.
Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:13:52.719851Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.