Paper Citation Record · LEDGER

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations

As of 17 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2507.19257.

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

pith.paper-citation-record.v1
2507.19257 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:10:28.792129Z

measured 13 of 13 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

13 of 13 outbound references displayed

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verified fuzzy2
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External citation measurements

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Outbound references

Observation f1f4646b-5914-4ac5-ada8-50689d6467b7 · outbound

This paper cites Anomalous diffusion by fractal homogenization.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations Anomalous diffusion by fractal homogenization

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T18:10:28.743553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69d52ab5-6493-4302-9c5b-aa1ad989b373 · outbound

This paper cites No anomalous dissipation in two-dimensional incompressible fluids.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations No anomalous dissipation in two-dimensional incompressible fluids

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T18:10:28.768153Z

Source-reported events for the cited work

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Observation 340cc34c-89ca-4ae3-aae5-0493d60a5a60 · outbound

This paper cites Implicit function theorem with continuous dependence on parameter.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations Implicit function theorem with continuous dependence on parameter

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:10:29.019826Z

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 9e4e25cb-3759-47c0-8aa1-26ea4fe1e9a4 · outbound

This paper cites On vanishing diffusivity selection for the advection equation.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations On vanishing diffusivity selection for the advection equation

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:10:29.007653Z

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 f343b66b-d287-4657-8d79-3e5ab7c13a96 · outbound

This paper cites The $L^3$-based strong Onsager theorem.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations The $L^3$-based strong Onsager theorem

Reference 1986

Resolution: unresolved; no resolver link, observed 2026-08-15T18:10:28.772934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac386ddb-71a6-4810-9d3a-b15afd56eb8a · outbound

This paper cites Self-similar instability and forced nonuniqueness: an application to the 2D Euler equations.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations Self-similar instability and forced nonuniqueness: an application to the 2D Euler equations

Reference 1987

Resolution: unresolved; no resolver link, observed 2026-08-15T18:10:28.763558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e01a1ba-51e6-41f8-a517-7dba784b6b60 · outbound

This paper cites Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I

Reference 2003

Resolution: unresolved; no resolver link, observed 2026-08-15T18:10:28.788062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22072385-ef79-4c61-9614-65755c2108f2 · outbound

This paper cites Scale invariant bounds for the Kelvin-Helmholtz instability.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations Scale invariant bounds for the Kelvin-Helmholtz instability

Reference 2013

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:10:28.849997Z

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 a5584075-e468-42b6-891d-6fc8b784d878 · outbound

This paper cites A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-15T18:10:28.752730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70d0f9b8-85f3-4b81-acd4-2add8c36b0ca · outbound

This paper cites Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-15T18:10:28.792129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 514fc761-39f2-43e8-b527-bff541044ca8 · outbound

This paper cites Anomalous dissipation and Euler flows.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations Anomalous dissipation and Euler flows

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-15T18:10:28.748311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d63fe0cd-b183-4478-afaf-71e0c85c3d83 · outbound

This paper cites Linear and nonlinear instability of vortex columns.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations Linear and nonlinear instability of vortex columns

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-15T18:10:28.738467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39957257-ea56-47df-bc91-bd50828d03d2 · outbound

This paper cites Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation.

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-15T18:10:28.758213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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