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Paper Citation Record · LEDGER

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.15256.

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2607.15256 v1

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measured 32 of 32 reference resolution

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Outbound references

Observation 4abf3070-bea0-4d03-a37b-42f8a34c973a · outbound

This paper cites Finite time singularities in the landau equation with very hard potentials.arXiv preprint arXiv:2602.05981, 2026.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Finite time singularities in the landau equation with very hard potentials.arXiv preprint arXiv:2602.05981, 2026

Reference 1

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Observation c48ca768-619a-434e-b5a9-5a3f6d966fd9 · outbound

This paper cites Smooth imploding solutions for 3d com- pressible fluids.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Smooth imploding solutions for 3d com- pressible fluids

Reference 2

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Observation fc8a1f1c-283d-4dd5-a4ed-e8498fb2f0d1 · outbound

This paper cites Singularity formation and global well-posedness for the generalized Constantin–Lax–Majda equation with dissipation.Nonlinearity, 33(5):2502, 2020.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Singularity formation and global well-posedness for the generalized Constantin–Lax–Majda equation with dissipation.Nonlinearity, 33(5):2502, 2020

Reference 3

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Observation 9b46de8f-d184-41e9-8faf-c99182d38cb6 · outbound

This paper cites On the slightly perturbed De Gregorio model onS 1.Arch.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity On the slightly perturbed De Gregorio model onS 1.Arch

Reference 4

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Observation f15f0ea9-06b9-4220-8557-f25805112d6f · outbound

This paper cites Remarks on the smoothness of theC 1,α asymptotically self-similar singularity in the 3D Euler and 2D Boussinesq equations.Nonlinearity, 37(6):065018, 2024.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Remarks on the smoothness of theC 1,α asymptotically self-similar singularity in the 3D Euler and 2D Boussinesq equations.Nonlinearity, 37(6):065018, 2024

Reference 5

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Observation 1a26185e-db15-4aa9-8de9-aa2553a20b7c · outbound

This paper cites Vorticity blowup in compressible Euler equations inR d, d≥3.Annals of PDE, 11(2):21, 2025.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Vorticity blowup in compressible Euler equations inR d, d≥3.Annals of PDE, 11(2):21, 2025

Reference 6

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Observation a4ac932a-2e2c-44c3-92c6-71f11a1736cd · outbound

This paper cites Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity I: $C^{\infty}$ 1D Limiting Profiles.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity I: $C^{\infty}$ 1D Limiting Profiles

Reference 7

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Observation 9220e65e-3ddf-4f7f-83e0-d8c19d36950b · outbound

This paper cites Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior

Reference 8

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Observation e9e226ad-a4ca-4601-8ede-4304f5c31731 · outbound

This paper cites Vorticity blowup in 2D compressible Euler equations.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Vorticity blowup in 2D compressible Euler equations

Reference 9

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Observation 144eb7cd-23a6-4008-819c-5b4269e36a1d · outbound

This paper cites Finite time blowup of 2D Boussinesq and 3D Euler equations withC 1,α velocity and boundary.Communications in Mathematical Physics, 383(3):1559–1667, 2021.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Finite time blowup of 2D Boussinesq and 3D Euler equations withC 1,α velocity and boundary.Communications in Mathematical Physics, 383(3):1559–1667, 2021

Reference 10

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Observation 05cac232-a88d-446e-8043-c6ced9bc7b1a · outbound

This paper cites Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 11

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Observation d2e02aea-4a2d-4bbd-a3a7-0b0ee18322c7 · outbound

This paper cites Singularity formation in 3d euler equations with smooth initial data and boundary.Proceedings of the National Academy of Sciences, 122(27):e2500940122, 2025.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Singularity formation in 3d euler equations with smooth initial data and boundary.Proceedings of the National Academy of Sciences, 122(27):e2500940122, 2025

Reference 12

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Observation 329caea6-a2dc-4a7c-b95e-bc90f4f9444d · outbound

This paper cites Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous numerics.Multiscale Modeling & Simulation, 23(1):25–130, 2025.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous numerics.Multiscale Modeling & Simulation, 23(1):25–130, 2025

Reference 13

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Observation 82abb513-03a8-4937-aabf-0f48441a70cb · outbound

This paper cites On the finite time blowup of the De Gregorio model for the 3D Euler equations.Communications on Pure and Applied Mathematics, 74(6):1282–1350, 2021.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity On the finite time blowup of the De Gregorio model for the 3D Euler equations.Communications on Pure and Applied Mathematics, 74(6):1282–1350, 2021

Reference 14

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Observation ede10ef5-a7bb-4311-8e38-fa6c7b0a9ffc · outbound

This paper cites Asymptotically self-similar blowup of the Hou–Luo model for the 3D Euler equations.Annals of PDE, 8(2):24, 2022.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Asymptotically self-similar blowup of the Hou–Luo model for the 3D Euler equations.Annals of PDE, 8(2):24, 2022

Reference 15

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Observation 37a7b897-7b13-4d32-b96e-9f8a1ecc9ca2 · outbound

This paper cites On the stability of blowup solutions to the complex Ginzburg-Landau equation inR d.Annals of PDE, 11(2):29, 2025.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity On the stability of blowup solutions to the complex Ginzburg-Landau equation inR d.Annals of PDE, 11(2):29, 2025

Reference 16

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Observation 1456642f-2ff7-4a5e-9289-36dbe36afb1c · outbound

This paper cites Smooth and stable Euler implosions.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Smooth and stable Euler implosions

Reference 17

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Observation c9ef170b-9783-4917-96b7-37ab383e27ec · outbound

This paper cites Blow-up for the incompressible 3D-Euler equations with uniform $C^{1,\frac{1}{2}-\epsilon}\cap L^2$ force.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Blow-up for the incompressible 3D-Euler equations with uniform $C^{1,\frac{1}{2}-\epsilon}\cap L^2$ force

Reference 18

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Observation e1ef251e-4a34-472d-b1d4-e1201e393076 · outbound

This paper cites Finite time singularities to the 3D incompressible Euler equations for solutions inC ∞(R3 \ {0})∩C1,α ∩L 2.Annals of PDE, 11:19, 2025.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Finite time singularities to the 3D incompressible Euler equations for solutions inC ∞(R3 \ {0})∩C1,α ∩L 2.Annals of PDE, 11:19, 2025

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Observation a85305a1-1025-484e-a84f-a8b2fe7338ae · outbound

This paper cites Finite-time singularity formation forC 1,α solutions to the incompressible Euler equations on R3.Annals of Mathematics, 194(3):647–727, 2021.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Finite-time singularity formation forC 1,α solutions to the incompressible Euler equations on R3.Annals of Mathematics, 194(3):647–727, 2021

Reference 20

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Observation 1dcebe7c-6cb9-4243-be6e-3d98e9d404fc · outbound

This paper cites On the Stability of Self-similar Blow-up for $C^{1,\alpha}$ Solutions to the Incompressible Euler Equations on $\mathbb{R}^3$.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity On the Stability of Self-similar Blow-up for $C^{1,\alpha}$ Solutions to the Incompressible Euler Equations on $\mathbb{R}^3$

Reference 21

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Observation be4a7ce9-4ecb-4f81-9fce-e639dd433572 · outbound

This paper cites From Instability to Singularity Formation in Incompressible Fluids.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity From Instability to Singularity Formation in Incompressible Fluids

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Observation 4b14d665-064d-4377-b579-110e4243cb2e · outbound

This paper cites an unresolved cited work.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Unresolved cited work

Reference 23

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Observation 32ae2cd6-f8f8-447c-b6ca-29e80edd30e5 · outbound

This paper cites Hou, Yixuan Wang, and Changhe Yang.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Hou, Yixuan Wang, and Changhe Yang

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Observation 8badb67f-6bff-4673-a733-d47d72ee27d9 · outbound

This paper cites Are the incompressible 3d navier–stokes equations locally ill-posed in the natural energy space?Journal of Functional Analysis, 268(12):3734–3766, 2015.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Are the incompressible 3d navier–stokes equations locally ill-posed in the natural energy space?Journal of Functional Analysis, 268(12):3734–3766, 2015

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Observation fe088244-6764-49ee-b9c4-888eaece79e6 · outbound

This paper cites Potentially singular solutions of the 3D axisymmetric Euler equations.Proceedings of the National Academy of Sciences, 111(36):12968–12973, 2014.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Potentially singular solutions of the 3D axisymmetric Euler equations.Proceedings of the National Academy of Sciences, 111(36):12968–12973, 2014

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This paper cites Cambridge University Press, 2002.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Cambridge University Press, 2002

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Observation 0d4da633-685e-4128-a1b1-469d5fb37774 · outbound

This paper cites On the implosion of a compressible fluid ii: singularity formation.Ann.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity On the implosion of a compressible fluid ii: singularity formation.Ann

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Observation 72630ec4-d007-4072-ac30-eb8ef63b6ec2 · outbound

This paper cites Self-similar blow-up solutions of $d$-dimensional incompressible Euler equations with $C^{1,\left(1-2/d\right)-}$ velocity.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Self-similar blow-up solutions of $d$-dimensional incompressible Euler equations with $C^{1,\left(1-2/d\right)-}$ velocity

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Observation 5bced118-bf60-4182-967e-955a22b5e378 · outbound

This paper cites Global regularity of axisymmetric euler equations without swirl in higher dimensions.Acta Mathematica Sinica, English Series, 42(3):663–679, 2026.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Global regularity of axisymmetric euler equations without swirl in higher dimensions.Acta Mathematica Sinica, English Series, 42(3):663–679, 2026

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Observation d1b537c8-49e6-4ac9-a825-c6f5f54e9f03 · outbound

This paper cites Incompressible Euler Blowup at the $C^{1,\frac{1}{3}}$ Threshold.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity Incompressible Euler Blowup at the $C^{1,\frac{1}{3}}$ Threshold

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Observation 9a1da898-2cb5-42db-9d09-7786a24924be · outbound

This paper cites American Mathematical Soc., 2021.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity American Mathematical Soc., 2021

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