Paper Citation Record · LEDGER

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities

As of 17 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2505.06423.

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

pith.paper-citation-record.v1
2505.06423 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:57:56.578899Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact1
verified fuzzy26
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4077765-2b4a-4003-b370-d0c7251bee16 · outbound

This paper cites Abels , On generalized solutions of two-phase flows for viscous incompressible fluids , Interfaces Free Bound., 9 (2007), pp.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels , On generalized solutions of two-phase flows for viscous incompressible fluids , Interfaces Free Bound., 9 (2007), pp

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.163646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 41e83058-12a9-453b-8ebe-9b3dec498bc9 · outbound

This paper cites B1 of RIMS K\^oky\^uroku Bessatsu, Res.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities B1 of RIMS K\^oky\^uroku Bessatsu, Res

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.148810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2ba718bf-3294-431c-b551-d7f51ab6178d · outbound

This paper cites Abels, D.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels, D

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.134681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 244410c0-dd25-4760-a26b-90c07ab98776 · outbound

This paper cites Abels, D.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels, D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.120946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d79ebec2-87a4-41b2-aa71-8afa397ff6fd · outbound

This paper cites Abels, H.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels, H

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.108054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 42a76557-7ece-4105-a4cd-b899469b6fdb · outbound

This paper cites Abels, H.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels, H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.095450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d8086402-44f8-429d-9018-f022b5d9382d · outbound

This paper cites Abels, H.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels, H

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-15T22:57:56.706915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c5290115-cec0-4b03-9342-bfca85b227ec · outbound

This paper cites Abels, H.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels, H

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.082393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 54f0fb79-af6d-476e-bc24-4818aac9f6a6 · outbound

This paper cites Abels, H.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels, H

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.068822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d752c319-85a0-4639-be14-88965a25e698 · outbound

This paper cites Abels and D.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels and D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.055549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 46953e77-aeb1-4b72-8f95-a9546f24286c · outbound

This paper cites Abels and M.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels and M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.042746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bc58edf3-4a82-486d-aec4-d05a00c6f488 · outbound

This paper cites Abels and M.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Abels and M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:57.029770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ecc28bae-9147-4159-b5cb-bb30c63fcaaf · outbound

This paper cites an unresolved cited work.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:57:57.016901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6d64d453-94a8-47be-9219-3b6fdb321195 · outbound

This paper cites Ambrosio, N.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Ambrosio, N

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T22:57:56.490960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3318ca4c-eb8c-4d84-ace0-207d57aeb301 · outbound

This paper cites urich, Birkh\.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities urich, Birkh\

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.995823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ef551e93-36a5-400d-af16-1387c6381842 · outbound

This paper cites Chen , Global asymptotic limit of solutions of the C ahn- H illiard equation , J.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Chen , Global asymptotic limit of solutions of the C ahn- H illiard equation , J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.983447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 75b11c6e-6f3a-4d87-be02-647fb002c6e4 · outbound

This paper cites an unresolved cited work.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:57:56.971021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4aa52ee1-500c-4bed-8ec8-b10e9d1b6fca · outbound

This paper cites Fischer and S.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Fischer and S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.958246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 86586fd3-7548-49d6-a256-6720d78d84d3 · outbound

This paper cites A weak-strong uniqueness principle for the Mullins-Sekerka equation.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities A weak-strong uniqueness principle for the Mullins-Sekerka equation

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T22:57:56.510079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3f9cafe-78b1-4a18-900c-4f589c299892 · outbound

This paper cites Frigeri , Global existence of weak solutions for a nonlocal model for two-phase flows of incompressible fluids with unmatched densities , Math.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Frigeri , Global existence of weak solutions for a nonlocal model for two-phase flows of incompressible fluids with unmatched densities , Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.945728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1eb4364a-f46a-4ffb-8349-a910557695fe · outbound

This paper cites an unresolved cited work.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:57:56.932337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b14e6e51-8e23-42d6-87e5-93758625ee0c · outbound

This paper cites Garcke , Curvature driven interface evolution , Jahresber.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Garcke , Curvature driven interface evolution , Jahresber

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.919762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1941e176-01a5-4e3d-8c0e-2d4241e65475 · outbound

This paper cites Gigli and S.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Gigli and S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.907122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3fd4628b-c352-47a7-8af0-76511816f5c8 · outbound

This paper cites an unresolved cited work.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:57:56.894608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 78b1103a-c442-40b5-9114-0b55bcdffe44 · outbound

This paper cites Hensel and T.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Hensel and T

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.881896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d4250468-0dd2-4a09-98de-a3b730feb0b4 · outbound

This paper cites Hensel and K.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Hensel and K

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.867727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 152cebb2-7964-4371-b7f0-a2cc7e310ada · outbound

This paper cites Hohenberg and B.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Hohenberg and B

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.854825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0cfc9dc0-8a34-4181-a923-082f4c5cd277 · outbound

This paper cites ohne, J. Pr\.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities ohne, J. Pr\

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.841848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f3017400-6827-465f-94b3-68f1c509aab5 · outbound

This paper cites an unresolved cited work.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:57:56.828503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a6e2e221-299f-4f07-af51-cb60783aac08 · outbound

This paper cites Modica , Gradient theory of phase transitions with boundary contact energy , Ann.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Modica , Gradient theory of phase transitions with boundary contact energy , Ann

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.815495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8e4bd039-6f8e-4fcc-96dd-a997984f99f4 · outbound

This paper cites Pironneau , On the transport-diffusion algorithm and its applications to the N avier- S tokes equations , Numer.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Pironneau , On the transport-diffusion algorithm and its applications to the N avier- S tokes equations , Numer

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.803119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fc6e405f-29e0-4189-9181-c4b30c0cb7cd · outbound

This paper cites an unresolved cited work.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:57:56.790413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 36a6ad78-8f85-4ad3-a996-e9c7062908a6 · outbound

This paper cites R\"oger , Solutions for the S tefan problem with G ibbs- T homson law by a local minimisation , Interfaces Free Bound., 6 (2004), pp.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities R\"oger , Solutions for the S tefan problem with G ibbs- T homson law by a local minimisation , Interfaces Free Bound., 6 (2004), pp

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.777532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 40063ddb-474e-4bb2-80fe-f6e1a5270016 · outbound

This paper cites an unresolved cited work.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:57:56.763387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 405483be-0b1f-4466-b87b-0c1f6497d60b · outbound

This paper cites Sandier and S.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Sandier and S

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.748517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f2d1a4b6-6a40-497b-a68a-54dda5c12604 · outbound

This paper cites Sch\"atzle , Hypersurfaces with mean curvature given by an ambient S obolev function , J.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Sch\"atzle , Hypersurfaces with mean curvature given by an ambient S obolev function , J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:57:56.734103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d807b6db-3631-420e-9ace-3f823c703b5b · outbound

This paper cites an unresolved cited work.

Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T22:57:56.719780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.