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Paper Citation Record · LEDGER

Global bifurcation for steady viscous roll waves on an incline

As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.21142.

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

pith.paper-citation-record.v1
2607.21142 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:32:03.163307Z

measured 28 of 28 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

28 of 28 outbound references displayed

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External citation measurements

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Outbound references

Observation 90e5519f-4e5c-458b-a636-9353da01d4e3 · outbound

This paper cites Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II.

Global bifurcation for steady viscous roll waves on an incline Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.079933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.079933Z digest=sha256:4f84c9a38e367c0c7337805ec0ac3e488267fa0ffd76f94d591d1434bc6af3b3

Observation 44700c67-383d-4186-8492-0d3e6da258fe · outbound

This paper cites Global bifurcation of steady gravity water waves with critical layers.

Global bifurcation for steady viscous roll waves on an incline Global bifurcation of steady gravity water waves with critical layers

Reference 4

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unresolved
no resolver link, observed 2026-08-01T08:32:03.090271Z

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source=pdf_text observed=2026-08-01T08:32:03.090271Z digest=sha256:2e7973218211ae2a7f8b2021090e7768419ef15a3f31b81f6277c76c9181e8ee

Observation ed138fe1-7afe-4f56-899e-d0fff7644f1f · outbound

This paper cites Traveling wave solutions to the free boundary incompressible Navier- Stokes equations with Navier boundary conditions.

Global bifurcation for steady viscous roll waves on an incline Traveling wave solutions to the free boundary incompressible Navier- Stokes equations with Navier boundary conditions

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.112129Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.112129Z digest=sha256:6de92fd4ff131a02cc37a8d0e6f925b62e165c98db7d6a4e720167fbc98c81fd

Observation dc92dd2e-2d93-4a4b-9ba8-3fad54903883 · outbound

This paper cites Large travelling capillary-gravity waves for Darcy flow.

Global bifurcation for steady viscous roll waves on an incline Large travelling capillary-gravity waves for Darcy flow

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.121520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.121520Z digest=sha256:1900210d5015c3e87061b6d55fbeab2869af8e3c9734dc475b612519319d96fb

Observation 39febd29-fe7c-43f1-aec8-52e8cedc01ef · outbound

This paper cites Accurate solution of the Orr-Sommerfeld stability equation.

Global bifurcation for steady viscous roll waves on an incline Accurate solution of the Orr-Sommerfeld stability equation

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.132754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.132754Z digest=sha256:d5ba77a4688e6a907e8597ed5dd6dbfc19347680b428349126377eb8defeaa33

Observation 502c9cea-029e-4059-9bd0-04ba55ab0e89 · outbound

This paper cites Traveling wave solutions to the one-phase Muskat problem: existence and stability.

Global bifurcation for steady viscous roll waves on an incline Traveling wave solutions to the one-phase Muskat problem: existence and stability

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.124313Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.124313Z digest=sha256:9d96bffe70c062a588b114bb849c8d958a8258390ceb3770e54c84570c78bc94

Observation a90c9216-2927-4448-b94c-911cc496793e · outbound

This paper cites Stationary wave solutions to two dimensional viscous shallow water equations: theory of small and large solutions.

Global bifurcation for steady viscous roll waves on an incline Stationary wave solutions to two dimensional viscous shallow water equations: theory of small and large solutions

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.144933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.144933Z digest=sha256:a67a251addff6707ac8de668cfcafb7ae21c7f98c3fa67b7ba7c834de1883daf

Observation 34cb9880-8e04-4a10-9070-c7f8d68f8e99 · outbound

This paper cites The stability or instability of the steady motions of a perfect liquid and of a viscous liquid. part II: a viscous liquid.

Global bifurcation for steady viscous roll waves on an incline The stability or instability of the steady motions of a perfect liquid and of a viscous liquid. part II: a viscous liquid

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.129891Z

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source=pdf_text observed=2026-08-01T08:32:03.129891Z digest=sha256:8de74ca84a879e64285b0744ab5b65625666441023462b9402ddb6a8c8388aa0

Observation f298acb3-04e5-4e8a-8671-a369f512e86d · outbound

This paper cites A new model of roll waves: comparison with Brock’s exper- iments.

Global bifurcation for steady viscous roll waves on an incline A new model of roll waves: comparison with Brock’s exper- iments

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.135609Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.135609Z digest=sha256:8f2208eddc6d142f3c428d848f0c495470a1aa1d388a9efc9f0ed2e398d52262

Observation 45342ab5-cf3d-4906-8d0f-cad510efea5b · outbound

This paper cites Bifurcation from simple eigenvalues.

Global bifurcation for steady viscous roll waves on an incline Bifurcation from simple eigenvalues

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.096462Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.096462Z digest=sha256:b1313b68b62e04b068d032b0a589c497eead574b6af80cdeb57f4c13c265db66

Observation a491f5f8-e6ee-4f41-9e6e-fbdaed7d7dd7 · outbound

This paper cites On a pseudo-differential equation for Stokes waves.

Global bifurcation for steady viscous roll waves on an incline On a pseudo-differential equation for Stokes waves

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.157693Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.157693Z digest=sha256:c08fe9ac105957fc660d8b5a7dfc90608bcea5503aca7c64703cc12c785b928c

Observation 6941044d-447a-4467-b06c-2944215f01a9 · outbound

This paper cites Traveling water waves—the ebb and flow of two centuries.

Global bifurcation for steady viscous roll waves on an incline Traveling water waves—the ebb and flow of two centuries

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.102895Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.102895Z digest=sha256:2972fa323dbddd88cde949361bbcd813e8dfe5739c889f8bedafbecf432359b7

Observation 27b9c4ab-90a2-4a0e-90bc-1e8627842aff · outbound

This paper cites Surface waves of viscous fluid down an inclined plane.

Global bifurcation for steady viscous roll waves on an incline Surface waves of viscous fluid down an inclined plane

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.127120Z

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source=pdf_text observed=2026-08-01T08:32:03.127120Z digest=sha256:acc268381c7dc1148075dabe29340888504e08b6a6fc072c565ea74e9836bcd6

Observation ab5c5d9b-0616-4fb3-915f-1d9acdbc78c6 · outbound

This paper cites On the evolution of roll waves.

Global bifurcation for steady viscous roll waves on an incline On the evolution of roll waves

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.118508Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.118508Z digest=sha256:533ed7c03d19b678a72c7252fe4cc257e9a398b94bf0e320e144c6fd522a10f0

Observation 3664a79b-1afe-4ef2-8c83-5c37bbebcae7 · outbound

This paper cites Traveling wave solutions to the multilayer free boundary incompress- ible Navier-Stokes equations.

Global bifurcation for steady viscous roll waves on an incline Traveling wave solutions to the multilayer free boundary incompress- ible Navier-Stokes equations

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.151550Z

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source=pdf_text observed=2026-08-01T08:32:03.151550Z digest=sha256:da95c32d9ce8640ee46ae77a84f336932c5fc4fe20531f0e29acd7ab0725a4c9

Observation bacdbe78-3596-4031-babf-f80657f8b0aa · outbound

This paper cites Steady water waves.

Global bifurcation for steady viscous roll waves on an incline Steady water waves

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.154506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.154506Z digest=sha256:650587a258f3bc202942948fca79bf2cbf6359f856ea8521376b5fdaf60e9e9e

Observation ece410df-374a-486e-a170-b78ae966a36f · outbound

This paper cites Traveling wave solutions to the inclined or periodic free boundary incompressible Navier-Stokes equations.

Global bifurcation for steady viscous roll waves on an incline Traveling wave solutions to the inclined or periodic free boundary incompressible Navier-Stokes equations

Reference 437

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.115562Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.115562Z digest=sha256:7b62533a8f459b562301f8a0025a90fd56b4f09883f6b8a831a031d8ae394d2e

Observation f1928793-c701-455f-9ccc-51f373ab51b2 · outbound

This paper cites Progressive waves in rivers.

Global bifurcation for steady viscous roll waves on an incline Progressive waves in rivers

Reference 1934

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.093407Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.093407Z digest=sha256:bb9d06e551d19435c09eab3ca2e5cec6f9aff987584b00a6684d9d331aff2a6b

Observation 6b68084f-c549-499b-9300-239043bb2e1c · outbound

This paper cites On the existence theory for irrotational water waves.

Global bifurcation for steady viscous roll waves on an incline On the existence theory for irrotational water waves

Reference 1966

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.108966Z digest=sha256:30a24080d4429de1a7c147faf41290989319b1896b934d70eeece2f6f46fe6b9

Observation c1f1b6f4-7856-44dd-a73a-19567ae21186 · outbound

This paper cites Mathematical solution of the problem of roll-waves in inclined open channels.

Global bifurcation for steady viscous roll waves on an incline Mathematical solution of the problem of roll-waves in inclined open channels

Reference 1981

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.099772Z

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source=pdf_text observed=2026-08-01T08:32:03.099772Z digest=sha256:b8ab9c4f689f31aecd2ab07f18f5e8f77c70a9d1042a45d6c11f04318dd3812c

Observation d52c4f39-cc45-4701-a209-2e9e7e0939eb · outbound

This paper cites Stability of liquid flow down an inclined plane.

Global bifurcation for steady viscous roll waves on an incline Stability of liquid flow down an inclined plane

Reference 1995

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.163307Z digest=sha256:919e88c781061dfc4f1b7252c1695f5ab239d88f1f2a1d4cf4368eb0cb723c4f

Observation e894a6ce-ca07-4fa0-99f6-5619c06e2e5d · outbound

This paper cites Free boundary problems for a viscous incompressible fluid.

Global bifurcation for steady viscous roll waves on an incline Free boundary problems for a viscous incompressible fluid

Reference 2001

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.138633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.138633Z digest=sha256:c1243c926054b1b87d1a24c65afdbbe57c134ddd77c709d349fa91285d9d8def

Observation db234495-c53e-4da7-8dd1-89ca1e97a0a7 · outbound

This paper cites Existence and qualitative theory for stratified solitary water waves.

Global bifurcation for steady viscous roll waves on an incline Existence and qualitative theory for stratified solitary water waves

Reference 2002

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.087188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.087188Z digest=sha256:92fc8fb3a9bdcd1c7e12522f7f8a3eaab3a3c8fa6a655ebf8b6808c0bbad0232

Observation 461be0b0-1547-49ce-8b34-a549a398cbfb · outbound

This paper cites Large-amplitude steady gravity water waves with general vorticity and critical layers.

Global bifurcation for steady viscous roll waves on an incline Large-amplitude steady gravity water waves with general vorticity and critical layers

Reference 2011

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.160351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.160351Z digest=sha256:5386438ed1a97f04361f752bf2405218b3be4ab848b2d7b53976bf9f25d5b0ea

Observation 1d663834-f1e3-457e-b269-814ae1d78708 · outbound

This paper cites Wave flow of thin viscous liquid films.

Global bifurcation for steady viscous roll waves on an incline Wave flow of thin viscous liquid films

Reference 2012

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.105873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.105873Z digest=sha256:2fa6069a357d27b4c2c7fe63bb46c870a5a8cf92a43b0473cbd7dbf1233a21ff

Observation cea471d4-8ae7-4b9d-b49f-77b59dcd0434 · outbound

This paper cites Well-posedness of the traveling wave problem for the free boundary compressible Navier-Stokes equations.

Global bifurcation for steady viscous roll waves on an incline Well-posedness of the traveling wave problem for the free boundary compressible Navier-Stokes equations

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.148165Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.148165Z digest=sha256:ffededf721a9bbacb9715ff312cd79509750bdfe466fbbc4cf77f156fd6787a1

Observation d2528fdc-2330-40a2-94f8-75534bbd0898 · outbound

This paper cites Gravity driven traveling bore wave solutions to the free boundary incompressible Navier-Stokes equations.

Global bifurcation for steady viscous roll waves on an incline Gravity driven traveling bore wave solutions to the free boundary incompressible Navier-Stokes equations

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.141505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.141505Z digest=sha256:7c87f425c87c9f39128791c53ebe3e58697db408766c03c48b67a789f160d660

Observation 2484dea4-11d2-425f-a7bb-9f012cc642c9 · outbound

This paper cites Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit.

Global bifurcation for steady viscous roll waves on an incline Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit

Reference 2026

Resolution
unresolved
no resolver link, observed 2026-08-01T08:32:03.083727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:32:03.083727Z digest=sha256:828c49c95c7475a64cf3c22af3d5bf775aaa79f2a7ab2496807ff6db17ff5015

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