Paper Citation Record · LEDGER

Sharp well-posedness for the free boundary MHD equations

As of 14 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2412.15625.

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

pith.paper-citation-record.v1
2412.15625 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:21:23.813192Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:40:57.178162Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

39 of 39 outbound references displayed

verified exact4
verified fuzzy31
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

1
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation d6711895-c5b3-4b8a-b867-732341bec843 · outbound

This paper cites Alazard, N.

Sharp well-posedness for the free boundary MHD equations Alazard, N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.571844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c23523c3-4483-4af3-8dbd-b716dfb5003e · outbound

This paper cites O˙ za´ n ski, and Amjad Tuﬀaha.

Sharp well-posedness for the free boundary MHD equations O˙ za´ n ski, and Amjad Tuﬀaha

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.551068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 329061c6-aec4-4e6d-bf83-681de7dfd9bb · outbound

This paper cites an unresolved cited work.

Sharp well-posedness for the free boundary MHD equations Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:21:24.531477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7ff23260-78b9-43fa-b8ac-f0cf11673186 · outbound

This paper cites Strong ill-posedness of the in compressible Euler equation in borderline Sobolev spaces.

Sharp well-posedness for the free boundary MHD equations Strong ill-posedness of the in compressible Euler equation in borderline Sobolev spaces

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.512396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f9fcbeb3-c6d2-4539-ad88-9319defa036e · outbound

This paper cites Caﬂisch, Isaac Klapper, and Gregory Steele.

Sharp well-posedness for the free boundary MHD equations Caﬂisch, Isaac Klapper, and Gregory Steele

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.492415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation aa5e2690-06e0-4113-96c7-66d6eac129d1 · outbound

This paper cites A priori estimates for water waves with emerging bottom.

Sharp well-posedness for the free boundary MHD equations A priori estimates for water waves with emerging bottom

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.474347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 51bbdaf7-6100-44e5-9b24-f7e481d518fe · outbound

This paper cites Disconzi, Mihaela Ifrim, and Daniel Tataru.

Sharp well-posedness for the free boundary MHD equations Disconzi, Mihaela Ifrim, and Daniel Tataru

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.456662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d27daccf-5d24-424f-aab9-c5d45ffe01d8 · outbound

This paper cites Disconzi, Igor Kukavica, and Amjad Tuﬀaha.

Sharp well-posedness for the free boundary MHD equations Disconzi, Igor Kukavica, and Amjad Tuﬀaha

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.439282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 835bd460-f090-4e56-8e45-d7a26c8c7159 · outbound

This paper cites an unresolved cited work.

Sharp well-posedness for the free boundary MHD equations Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:21:24.421747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6087e44f-fdc2-4e23-b749-94054d5d5a70 · outbound

This paper cites an unresolved cited work.

Sharp well-posedness for the free boundary MHD equations Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:21:24.405176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7293fafd-0bc8-4b42-ad50-4c6596f7a658 · outbound

This paper cites Zero surface te nsion limit of the free-boundary problem in incompressible magnetohydrodynamics.

Sharp well-posedness for the free boundary MHD equations Zero surface te nsion limit of the free-boundary problem in incompressible magnetohydrodynamics

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.387874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 621eb1bf-e671-488a-8f31-f11b0b4187d2 · outbound

This paper cites Local well-pos edness of the free-boundary incompressible magnetohydrod y- namics with surface tension.

Sharp well-posedness for the free boundary MHD equations Local well-pos edness of the free-boundary incompressible magnetohydrod y- namics with surface tension

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.371027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 35ca030b-3e17-4b7b-b0bf-2d26be2ae32b · outbound

This paper cites On the construction of solutio ns to the free-surface incompressible ideal magnetohydrod y- namic equations.

Sharp well-posedness for the free boundary MHD equations On the construction of solutio ns to the free-surface incompressible ideal magnetohydrod y- namic equations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.353233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 29ae30cd-71cc-4e38-8303-6ee48ac20d69 · outbound

This paper cites On the motion of free interface in ideal i ncompressible MHD.

Sharp well-posedness for the free boundary MHD equations On the motion of free interface in ideal i ncompressible MHD

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.335038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e9a7671c-fa8b-40e4-a0fc-1f1b7cc60543 · outbound

This paper cites A priori estimates for free bo undary problem of incompressible inviscid magnetohydrody - namic ﬂows.

Sharp well-posedness for the free boundary MHD equations A priori estimates for free bo undary problem of incompressible inviscid magnetohydrody - namic ﬂows

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.315540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a272462a-5fe7-487a-a97f-f74e5718772b · outbound

This paper cites Ill-posedness of free bounda ry problem of the incompressible ideal MHD.

Sharp well-posedness for the free boundary MHD equations Ill-posedness of free bounda ry problem of the incompressible ideal MHD

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.297795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4960fc55-0087-4ab7-9350-6f43de155912 · outbound

This paper cites A priori estimates and a blow-up criterion for the incompressible ideal MHD equations with surface tension and a closed free surface.

Sharp well-posedness for the free boundary MHD equations A priori estimates and a blow-up criterion for the incompressible ideal MHD equations with surface tension and a closed free surface

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:21:23.939053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7a894062-2553-43b3-b07e-0e667aee9a30 · outbound

This paper cites Sharp Hadamard local well-posedness, enhanced uniqueness and pointwise continuation criterion for the incompressible free boundary Euler equations.

Sharp well-posedness for the free boundary MHD equations Sharp Hadamard local well-posedness, enhanced uniqueness and pointwise continuation criterion for the incompressible free boundary Euler equations

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:21:23.914878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0f3621d9-eb2b-4726-84e7-d2156558f1f4 · outbound

This paper cites The compressible Eule r equations in a physical vacuum: A comprehensive Eulerian approach.

Sharp well-posedness for the free boundary MHD equations The compressible Eule r equations in a physical vacuum: A comprehensive Eulerian approach

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.278998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 37c80b4a-eccc-416f-8594-af2fb3c74bf7 · outbound

This paper cites W ell-posedness of the free bound ary problem in incompressible MHD with surface tension.

Sharp well-posedness for the free boundary MHD equations W ell-posedness of the free bound ary problem in incompressible MHD with surface tension

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.262000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6672efd4-dc46-4e5e-8b07-2384f1e11f14 · outbound

This paper cites Anisotropic regularit y of the free-boundary problem in compressible ideal magnet ohy- drodynamics.

Sharp well-posedness for the free boundary MHD equations Anisotropic regularit y of the free-boundary problem in compressible ideal magnet ohy- drodynamics

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.243893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 91b467e4-a003-42f4-80c6-b321c96a6816 · outbound

This paper cites Local Well-posedness of the Incompressible Current-Vortex Sheet Problems.

Sharp well-posedness for the free boundary MHD equations Local Well-posedness of the Incompressible Current-Vortex Sheet Problems

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:21:23.887970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cadcee7e-c282-4ffd-a729-111340be882e · outbound

This paper cites On the Free Boundary Problems for the Ideal Incompressible MHD Equations.

Sharp well-posedness for the free boundary MHD equations On the Free Boundary Problems for the Ideal Incompressible MHD Equations

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:21:23.862471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cadcd28b-ec2d-410f-9dea-d64c616ec409 · outbound

This paper cites A regularity result for th e incompressible magnetohydrodynamics equations with fre e surface boundary.

Sharp well-posedness for the free boundary MHD equations A regularity result for th e incompressible magnetohydrodynamics equations with fre e surface boundary

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.224598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9fc3730a-0030-4bd6-9fb1-ab0060b7e3f8 · outbound

This paper cites A priori estimates for the incompressible free-boundary magnetohydrodynamics equa tions with surface tension.

Sharp well-posedness for the free boundary MHD equations A priori estimates for the incompressible free-boundary magnetohydrodynamics equa tions with surface tension

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.204824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3224c121-3263-4329-8c33-429f788673af · outbound

This paper cites Finite energy solutio ns of Maxwell’s equations and constructive Hodge decomposi tions on nonsmooth Riemannian manifolds.

Sharp well-posedness for the free boundary MHD equations Finite energy solutio ns of Maxwell’s equations and constructive Hodge decomposi tions on nonsmooth Riemannian manifolds

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.184937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation dca1da46-ff37-466d-8e7d-949c4363fcb5 · outbound

This paper cites W ell-posedness of the plasma-vacuum interface problem.

Sharp well-posedness for the free boundary MHD equations W ell-posedness of the plasma-vacuum interface problem

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.166477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4be0104a-0d54-4bba-9634-b945558c443e · outbound

This paper cites Geometry and a priori e stimates for free boundary problems of the Euler equation.

Sharp well-posedness for the free boundary MHD equations Geometry and a priori e stimates for free boundary problems of the Euler equation

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.148854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 62414978-bb8b-46c7-890e-50d531bcd727 · outbound

This paper cites A priori estimates for ﬂuid interface problems.

Sharp well-posedness for the free boundary MHD equations A priori estimates for ﬂuid interface problems

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.130485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0a51b31e-776f-4206-8396-e25af9c4ab93 · outbound

This paper cites Local well-posedness for ﬂuid interface problems.

Sharp well-posedness for the free boundary MHD equations Local well-posedness for ﬂuid interface problems

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.113602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8d621d06-8b8f-45c0-b8ad-73930cc49735 · outbound

This paper cites an unresolved cited work.

Sharp well-posedness for the free boundary MHD equations Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T11:21:23.767150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d3f186c-e4ea-4a80-b51d-8f4a5c55aed6 · outbound

This paper cites Nonlinear st ability of the current-vortex sheet to the incompressible M HD equations.

Sharp well-posedness for the free boundary MHD equations Nonlinear st ability of the current-vortex sheet to the incompressible M HD equations

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.084164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e13e812f-8a80-4b14-8642-90173c00b636 · outbound

This paper cites W ell-posedn ess of the plasma-vacuum interface problem for ideal incom- pressible MHD.

Sharp well-posedness for the free boundary MHD equations W ell-posedn ess of the plasma-vacuum interface problem for ideal incom- pressible MHD

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.066289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fb0c960c-2e48-4096-a842-965e4c1b7807 · outbound

This paper cites On well-posedness of the plasma-vacuu m interface problem: the case of non-elliptic interface sym bol.

Sharp well-posedness for the free boundary MHD equations On well-posedness of the plasma-vacuu m interface problem: the case of non-elliptic interface sym bol

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.047194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ac638eb4-accb-4e72-88df-28ea723c8fb2 · outbound

This paper cites On violent instability of a plasma-vac uum interface for an incompressible plasma ﬂow and nonzero d is- placement current in vacuum.

Sharp well-posedness for the free boundary MHD equations On violent instability of a plasma-vac uum interface for an incompressible plasma ﬂow and nonzero d is- placement current in vacuum

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.028613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3fb044b7-812c-4acf-b06f-53ee72ebe2de · outbound

This paper cites W ell-posedness of free bou ndary problem in non-relativistic and relativistic ideal c ompress- ible magnetohydrodynamics.

Sharp well-posedness for the free boundary MHD equations W ell-posedness of free bou ndary problem in non-relativistic and relativistic ideal c ompress- ible magnetohydrodynamics

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:24.010770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 726cae1d-f6f5-4b5e-86ec-46f48db24427 · outbound

This paper cites W ell-posedness for the fre e-boundary ideal compressible magnetohydrodynamic equat ions with surface tension.

Sharp well-posedness for the free boundary MHD equations W ell-posedness for the fre e-boundary ideal compressible magnetohydrodynamic equat ions with surface tension

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:23.993334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6c88e1e7-4c15-4c0c-ac5b-b2ef11493ed4 · outbound

This paper cites Local well-posedness and break-down criterion of the incom - pressible Euler equations with free boundary.

Sharp well-posedness for the free boundary MHD equations Local well-posedness and break-down criterion of the incom - pressible Euler equations with free boundary

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:23.975366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f27899ee-04f8-4f29-afe7-e1ead6362e51 · outbound

This paper cites Local well-posedness of the free-bounda ry problem in compressible resistive magnetohydrodynamic s.

Sharp well-posedness for the free boundary MHD equations Local well-posedness of the free-bounda ry problem in compressible resistive magnetohydrodynamic s

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:21:23.956555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation a281d937-3c81-4d3e-b497-e81e4188312a · inbound

Physical Vacuum Problems for the Full Compressible Euler Equations: Low-regularity Hadamard-style Local Well-posedness cites this paper.

Physical Vacuum Problems for the Full Compressible Euler Equations: Low-regularity Hadamard-style Local Well-posedness Sharp well-posedness for the free boundary MHD equations

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T12:40:57.178162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5f69f3d-b162-4ef7-9e65-4b28e3233a43 · inbound

Low-regularity a priori estimates, blow-up criterion, and self-intersection singularities for free-boundary ideal magnetohydrodynamics with surface tension cites this paper.

Low-regularity a priori estimates, blow-up criterion, and self-intersection singularities for free-boundary ideal magnetohydrodynamics with surface tension Sharp well-posedness for the free boundary MHD equations

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-02T09:16:48.391827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.