Paper Citation Record · LEDGER

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension

As of 13 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2411.14840.

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pith.paper-citation-record.v1
2411.14840 v2

Coverage vector

measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T14:56:39.146097Z

measured 35 of 35 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

35 of 35 outbound references displayed

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verified fuzzy31
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External citation measurements

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Outbound references

Observation f07d20f7-816b-4c12-b4db-0e40d22a9f41 · outbound

This paper cites On the cauchy pro blem for gravity water waves.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension On the cauchy pro blem for gravity water waves

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:40.007496Z

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 db2ac661-5809-42ec-89d2-20d1c66317ce · outbound

This paper cites Linear stability of comp ressible vortex sheets in two-dimensional elastodynamics.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Linear stability of comp ressible vortex sheets in two-dimensional elastodynamics

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.983431Z

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 cc806f87-1839-4ddc-87de-210ef3b43ceb · outbound

This paper cites Linear stability of comp ressible vortex sheets in 2d elastodynamics: variable coeﬃcients.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Linear stability of comp ressible vortex sheets in 2d elastodynamics: variable coeﬃcients

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.963394Z

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 0916cd6c-e7ae-48e3-8dbf-2e7ffb0f3c1d · outbound

This paper cites Nonlinear stability and exis- tence of compressible vortex sheets in 2d elastodynamics.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Nonlinear stability and exis- tence of compressible vortex sheets in 2d elastodynamics

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.944891Z

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 750a6250-d84c-492e-8a5f-5120fdf51d58 · outbound

This paper cites Stabiliz ation eﬀect of elasticity on three-dimensional compressible vortex sheets.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Stabiliz ation eﬀect of elasticity on three-dimensional compressible vortex sheets

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.925701Z

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 9c002fcf-16ba-4d23-a4f5-a3eab867c119 · outbound

This paper cites On the motion of the f ree surface of a liquid.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension On the motion of the f ree surface of a liquid

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.905184Z

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 530bd209-6b1f-474e-aae4-52c7c4d9c696 · outbound

This paper cites The interaction between qua silinear elastodynamics and the navier- stokes equations.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension The interaction between qua silinear elastodynamics and the navier- stokes equations

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.880346Z

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 b33ffa81-9072-41e9-a18a-98d58c6bf9c4 · outbound

This paper cites Well-posedness of the free- surface incompressible euler equations with or without surface tension.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Well-posedness of the free- surface incompressible euler equations with or without surface tension

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.856868Z

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 3afac5a8-59f7-45c1-b55c-fa4b45f7d8eb · outbound

This paper cites A simple proof of well-posedne ss for the free-surface incompressible euler equations.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension A simple proof of well-posedne ss for the free-surface incompressible euler equations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.835032Z

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 9bf793ce-b7d2-448d-ba3b-5d6057f46f6e · outbound

This paper cites Hyperbolic conservation laws in continuum physics, volume 3.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Hyperbolic conservation laws in continuum physics, volume 3

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.812786Z

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 4c1ca2c2-5a67-4b0b-953f-af858cb53339 · outbound

This paper cites Local well-po sedness for the motion of a compress- ible, self-gravitating liquid with free surface boundary.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Local well-po sedness for the motion of a compress- ible, self-gravitating liquid with free surface boundary

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.791366Z

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 eaa6e565-4e6a-41c4-8116-9febbfeba608 · outbound

This paper cites Local Well-posedness of the Free Boundary Incompressible Elastodynamics with Surface Tension.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Local Well-posedness of the Free Boundary Incompressible Elastodynamics with Surface Tension

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:56:39.298628Z

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 34d08720-e395-4f2c-a9ca-dd6a316e14b6 · outbound

This paper cites Well-posedness of the free boundary pr oblem in incompressible elastody- namics under the mixed type stability condition.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Well-posedness of the free boundary pr oblem in incompressible elastody- namics under the mixed type stability condition

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.769984Z

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 6dcb7513-4901-4be2-8104-cf79189a1a8f · outbound

This paper cites Well-posedness of the free bo undary problem for incompressible elastodynamics.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Well-posedness of the free bo undary problem for incompressible elastodynamics

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.748600Z

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 c52a82b2-dcdb-44a0-8872-3cd2eebe7202 · outbound

This paper cites Global solutions for incompress ible viscoelastic ﬂuids.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Global solutions for incompress ible viscoelastic ﬂuids

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.726387Z

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 d7486c0f-c39e-4dd2-9d32-811f8adbfc5e · outbound

This paper cites Global existence of classical solutions fo r the two-dimensional oldroyd model via the incompressible limit.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Global existence of classical solutions fo r the two-dimensional oldroyd model via the incompressible limit

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.700784Z

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 95b97c43-d8d3-4f2d-a356-c6d067985d7d · outbound

This paper cites Well-posedness of the free boundary problem in incompressible elastodynamics.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Well-posedness of the free boundary problem in incompressible elastodynamics

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.680638Z

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 66ad2681-ec56-4185-a95f-54a6eeb0d504 · outbound

This paper cites Well-posedness of the free boundary problem in elastodynamics with mixed stability condition.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Well-posedness of the free boundary problem in elastodynamics with mixed stability condition

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.662681Z

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 7d8a5514-0cc0-4417-acfc-6216acc289e0 · outbound

This paper cites On hydrodynamics of vis coelastic ﬂuids.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension On hydrodynamics of vis coelastic ﬂuids

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.644636Z

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 5adda698-60fa-4bb4-96cc-4c24a7331da8 · outbound

This paper cites Some analytical issues for elastic complex ﬂuids.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Some analytical issues for elastic complex ﬂuids

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.625517Z

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 4e7a32d2-0d9e-4ee2-8e9e-88972bd6c06e · outbound

This paper cites On the initial-boundary value problem of the incompressible viscoelastic ﬂuid system.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension On the initial-boundary value problem of the incompressible viscoelastic ﬂuid system

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.604066Z

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 e6a8f968-6dcb-4252-af13-1db07ce91c8e · outbound

This paper cites Well-posedness for the Linearized Motion of an Incompressible Liquid with Free Surface Boundary.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Well-posedness for the Linearized Motion of an Incompressible Liquid with Free Surface Boundary

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:56:39.255881Z

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 aa543e62-3b36-4bc3-a27c-bad29dcbcaf2 · outbound

This paper cites Well-posedness for the motion of an incompressib le liquid with free surface boundary.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Well-posedness for the motion of an incompressib le liquid with free surface boundary

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.578808Z

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 0fb59932-7ca0-4ad7-aa85-c815d53fc8dc · outbound

This paper cites Compressible Gravity-Capillary Water Waves with Vorticity: Local Well-Posedness, Incompressible and Zero-Surface-Tension Limits.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Compressible Gravity-Capillary Water Waves with Vorticity: Local Well-Posedness, Incompressible and Zero-Surface-Tension Limits

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-12T14:56:39.065202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d231cfda-e3f1-4a85-8bba-fc119d33edba · outbound

This paper cites Small viscosity and boundary layer methods: theory, stabil ity analysis, and applications.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Small viscosity and boundary layer methods: theory, stabil ity analysis, and applications

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.555976Z

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 eb995595-6e28-49f5-b7aa-32372dce3446 · outbound

This paper cites On the three-dimensional euler equations with a free boundary subject to surface tension.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension On the three-dimensional euler equations with a free boundary subject to surface tension

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.537648Z

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 e00c9dd6-59c7-442c-afb4-3b9988e779e2 · outbound

This paper cites Geometry and a priori estim ates for free boundary problems of the euler’s equation.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Geometry and a priori estim ates for free boundary problems of the euler’s equation

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.514157Z

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 16c1b57f-35a2-4e27-ab79-a9c753ca02f7 · outbound

This paper cites A priori estimates for ﬂuid in terface problems.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension A priori estimates for ﬂuid in terface problems

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.490360Z

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 bcacb87b-86e3-43e4-bb94-4b318f2f5410 · outbound

This paper cites Local well-posedness for ﬂ uid interface problems.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Local well-posedness for ﬂ uid interface problems

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.468819Z

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 db384745-5432-4896-92cb-911f951daaff · outbound

This paper cites Well-posedness in sobolev spaces of the full water wav e problem in 2-d.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Well-posedness in sobolev spaces of the full water wav e problem in 2-d

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.447418Z

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 cc0cfd47-6fba-4682-9a1c-be14bb28ad9a · outbound

This paper cites Well-posedness in sobolev spaces of the full water wav e problem in 3-d.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Well-posedness in sobolev spaces of the full water wav e problem in 3-d

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.425691Z

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 9630457f-891e-4bda-92ae-c758e82afb3e · outbound

This paper cites On the free-boundary incompressible elastodyna mics with and without surface tension, 2024.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension On the free-boundary incompressible elastodyna mics with and without surface tension, 2024

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.395318Z

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 0487a224-6a28-4e0d-a2ce-1a83431dc54f · outbound

This paper cites Local well-posedness and incompressible limit of t he free-boundary problem in com- pressible elastodynamics.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Local well-posedness and incompressible limit of t he free-boundary problem in com- pressible elastodynamics

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.351238Z

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 4e856cff-2d07-4c93-b795-c7c9d81e2b05 · outbound

This paper cites Well-posedness and Incompressible Limit of Current-Vortex Sheets with Surface Tension in Compressible Ideal MHD.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension Well-posedness and Incompressible Limit of Current-Vortex Sheets with Surface Tension in Compressible Ideal MHD

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-12T14:56:39.139786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecc0f464-de35-4e16-a183-adcea57dd825 · outbound

This paper cites On the free boundary problem of t hree-dimensional incompressible euler equations.

Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension On the free boundary problem of t hree-dimensional incompressible euler equations

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:56:39.329494Z

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.

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