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Paper Citation Record · LEDGER

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

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 33 inbound Pith citation observations for arXiv:2210.07191.

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pith.paper-citation-record.v1
2210.07191 v3

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measured 0 of 0 reference resolution

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measured 33 of 33 standing notices

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

measured 33 of 33 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:24:45.656803Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T19:30:07.307294Z

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation e85246ad-7b00-4a45-a5c3-7c7d287783ee · inbound

Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions cites this paper.

Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 2

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arxiv_id, observed 2026-05-24T10:24:20.676436Z

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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Observation d78e4f70-80fc-41e1-9029-ed2f2a72cf94 · inbound

Validated matrix multiplication transform for orthogonal polynomials with applications to computer-assisted proofs for PDEs cites this paper.

Validated matrix multiplication transform for orthogonal polynomials with applications to computer-assisted proofs for PDEs Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 16

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no resolver link, observed 2026-08-12T11:24:45.656803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d81733fb-8dc8-449a-8b18-9113e371be17 · inbound

Finite time blow-up in a 1D model of the incompressible porous media equation cites this paper.

Finite time blow-up in a 1D model of the incompressible porous media equation Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 6

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unresolved
no resolver link, observed 2026-08-11T10:46:14.440663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:46:14.440663Z digest=sha256:29e9d7bdb40477cd55d5d9f02d4242c10bc70acce90951ffccccb1aed99b0aa9

Observation 98fac610-05c7-4833-a094-231ffd97a371 · inbound

Trading Devil RL: Backdoor attack via Stock market, Bayesian Optimization and Reinforcement Learning cites this paper.

Trading Devil RL: Backdoor attack via Stock market, Bayesian Optimization and Reinforcement Learning Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 127

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no resolver link, observed 2026-08-11T05:12:11.899922Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:12:11.899922Z digest=sha256:fe58797f27f5835aa3443d7e4dc1251870f67b5939d170e2768f7291ed493307

Observation d70ca566-11a6-491f-8eb4-aa4ca3b407ed · inbound

Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases cites this paper.

Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 21

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no resolver link, observed 2026-08-10T14:06:27.689191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:06:27.689191Z digest=sha256:3c2f96971c143b0b440c4885c1fcdeaffe236bab8bd4b965f5c8a85b2364f537

Observation 224c5335-efcb-427e-8a0e-1936813e7445 · inbound

Finite-time singularity via multi-layer degenerate pendula for the 2D Boussinesq equation with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\epsilon}\cap L^2$ force cites this paper.

Finite-time singularity via multi-layer degenerate pendula for the 2D Boussinesq equation with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\epsilon}\cap L^2$ force Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 10

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unresolved
no resolver link, observed 2026-08-07T13:48:49.012164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:48:49.012164Z digest=sha256:bb22cff68ad15ba6f7053f67bbd188a92f53c8cdc1834e8e3f2ff91f8ebb33f1

Observation 99707ba4-8f39-4980-977f-e26a62416e5a · inbound

On putative self-similarity for incompressible 3D Euler cites this paper.

On putative self-similarity for incompressible 3D Euler Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 12

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unresolved
no resolver link, observed 2026-08-02T22:22:10.731241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T22:22:10.731241Z digest=sha256:b5eaa9ae4413bc97ed0df63a58f60eb380492289acdf079fd60b1b91aebe6717

Observation dd591fe9-2a84-4ed4-8c7a-0f32b99e3bc8 · inbound

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

Incompressible Euler Blowup at the $C^{1,\frac{1}{3}}$ Threshold Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 5

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verified exact
arxiv_id, observed 2026-05-15T13:00:00.761520Z

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.

source=pdf_text observed=2026-05-15T12:58:06.278748Z digest=sha256:d500c5f405cb27f25f6b55b31b3929ea5883d7129c58601d005a15171312600e

Observation 235e869e-803d-4b03-80d7-14bc57c3f9eb · inbound

2D inviscid Boussinesq equations and 3D axisymmetric Euler equations: (1) A unification ($Em$), (2) Finite-time blow-up of two unified $(1+1)$D systems rigorously derived from ($Em$) cites this paper.

2D inviscid Boussinesq equations and 3D axisymmetric Euler equations: (1) A unification ($Em$), (2) Finite-time blow-up of two unified $(1+1)$D systems rigorously derived from ($Em$) Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-15T08:59:53.013374Z

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.

source=pdf_text observed=2026-05-15T08:58:42.228051Z digest=sha256:e43f7cddb7293e407403bf58adc2eca4cc156674e9a1f23436b84f595808fc0f

Observation f058363e-3f9f-42c8-a092-ad9d11a49c97 · inbound

Incompressible Euler fluids on compact cohomogeneity one manifolds cites this paper.

Incompressible Euler fluids on compact cohomogeneity one manifolds Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 6

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verified exact
arxiv_id, observed 2026-05-11T05:51:02.635881Z

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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Observation c9f242fc-c818-4a66-86fb-d24443408b01 · inbound

Stable Finite-Time Singularity Formation for 3D Navier--Stokes via 5D-Lifted Axisymmetric Reductions cites this paper.

Stable Finite-Time Singularity Formation for 3D Navier--Stokes via 5D-Lifted Axisymmetric Reductions Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:41:00.051587Z

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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Observation 6813cb59-dd53-4ac8-b90d-a617f2e7d596 · inbound

Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches cites this paper.

Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 55

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metadata mismatch
arxiv_id, observed 2026-05-10T09:23:37.301645Z

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.

source=pdf_text observed=2026-05-10T07:13:10.140500Z digest=sha256:25ea7e7d17c2968122dea3836710de941e3261fb567f91a8c52bc078532ecdbd

Observation 2e0749fa-877f-48f4-a799-6794873e4b51 · inbound

Stability of Inflow Problem for Hyperbolic Systems cites this paper.

Stability of Inflow Problem for Hyperbolic Systems Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 12

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metadata mismatch
arxiv_id, observed 2026-05-10T06:11:20.094725Z

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.

source=pdf_text observed=2026-05-10T06:10:25.728290Z digest=sha256:1590a72ba3d5dd944c3c4baf408e4041ec12fa168a9f1eea562b72dbed0059d6

Observation c7ad64b5-fcda-4904-94f2-7d5c111c87f3 · inbound

Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations cites this paper.

Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 5

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T15:36:06.213447Z

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.

source=pdf_text observed=2026-05-09T19:39:52.030690Z digest=sha256:d22d019a50fbb3c21c91f4219e88c37ee54664bffa748ebcf4bac08019405c41

Observation d3ef7384-c297-44af-84f2-5fb59fa0abb0 · inbound

Smooth and stable Euler implosions cites this paper.

Smooth and stable Euler implosions Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 19

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metadata mismatch
arxiv_id, observed 2026-05-11T16:11:10.040484Z

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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Observation 79bda830-e4f3-4ee9-abc2-48456faa0bfe · inbound

Linear instability of a Burgers--Hilbert traveling wave cites this paper.

Linear instability of a Burgers--Hilbert traveling wave Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 29

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metadata mismatch
arxiv_id, observed 2026-05-12T11:01:31.862959Z

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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Observation 3db4d8d5-59d8-4549-a30e-8241be454c4d · inbound

Linear instability of a Burgers--Hilbert traveling wave cites this paper.

Linear instability of a Burgers--Hilbert traveling wave Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 29

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arxiv_id, observed 2026-07-01T13:15:45.527234Z

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.

source=pdf_text observed=2026-06-30T23:51:26.037856Z digest=sha256:9d0bf588eb2225971bd18986c1a80f0b7a95b5c2da87eea98650b53d4b697bb5

Observation 8dd1e098-96df-45fe-b7aa-b4471794e926 · inbound

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

Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 15

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T03:14:52.881207Z

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.

source=pdf_text observed=2026-05-15T03:13:04.176509Z digest=sha256:eaa466b33e6248643fd37424c8e68ede4b1d1050133339b16e4fae193c3037ae

Observation 920f4742-eef0-4e15-8b72-51ecd77be52d · inbound

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

Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 14

Resolution
metadata mismatch
arxiv_id, observed 2026-05-20T20:28:59.704105Z

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.

source=pdf_text observed=2026-05-20T20:26:33.949930Z digest=sha256:c4e709e1ea2c8582976e41afb8a82a2759d73c30d7d19e484373719a40e452ac

Observation 42fc2dfc-853b-4c0f-931c-2f6c1045ea23 · inbound

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

Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity I: $C^{\infty}$ 1D Limiting Profiles Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 15

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metadata mismatch
arxiv_id, observed 2026-05-15T03:03:57.706653Z

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.

source=pdf_text observed=2026-05-15T03:01:01.970527Z digest=sha256:2e9f1968f47303d4ca1ce154e1296a3375a71961636224e1cf2591c94abcf79d

Observation 9e48e41d-9434-4373-b857-c9aaa52c9d79 · inbound

A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system cites this paper.

A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 10

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verified exact
arxiv_id, observed 2026-05-21T00:44:18.171929Z

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.

source=pdf_text observed=2026-05-21T00:43:53.209654Z digest=sha256:dfb15fe31106e29fcd241a4e7fe4275168883b9b4e2702f5c84b5391357ba4fb

Observation c1cb3795-08d0-400b-9750-d9856bb25f2b · inbound

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

Self-similar blow-up solutions of $d$-dimensional incompressible Euler equations with $C^{1,\left(1-2/d\right)-}$ velocity Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-20T03:53:02.587887Z

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.

source=pdf_text observed=2026-05-20T03:51:21.005471Z digest=sha256:233f5715c9335d8b6e8127b41eb86a1a1976a343c7f266b31a6c6b9f2c725585

Observation 089c6f0c-044f-47ff-822b-c59b9109ccdc · inbound

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

Self-similar blow-up solutions of $d$-dimensional incompressible Euler equations with $C^{1,\left(1-2/d\right)-}$ velocity Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-02T13:44:53.931672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T13:44:53.931672Z digest=sha256:bfddf313788c6bba43c89a628fac1d0a28645d6c4f49e5fba8547a698f461b9a

Observation a46e3466-8a8e-49de-8fae-30a14e604609 · inbound

Delayed Blow-up in 3D Fluids via Pseudo-transport Noise cites this paper.

Delayed Blow-up in 3D Fluids via Pseudo-transport Noise Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 2

Resolution
metadata mismatch
arxiv_id, observed 2026-06-29T13:13:28.455659Z

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.

source=pdf_text observed=2026-06-29T10:35:05.851737Z digest=sha256:0bf13142b1bda664c6accfba80cfdef2acb2740b0e142c9d2409d594aa321aff

Observation f0b6a77c-ae2a-48c4-b4f7-3687d5286b98 · inbound

A conditional Lagrangian clock barrier at the $C^{1,\frac{1}{3}}$ threshold for axisymmetric Euler without swirl cites this paper.

A conditional Lagrangian clock barrier at the $C^{1,\frac{1}{3}}$ threshold for axisymmetric Euler without swirl Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-01T20:16:11.613621Z

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.

source=pdf_text observed=2026-06-28T21:28:42.173947Z digest=sha256:2a944bcc75a668745444e50c6edff2e3e68d584265fbb45f2bb7efbcc5a6359a

Observation f65c948b-44f1-4d31-890a-e4f8aafd2ba8 · inbound

On the non-uniqueness of solutions of the axi-symmetric swirl-free Navier-Stokes equations, I cites this paper.

On the non-uniqueness of solutions of the axi-symmetric swirl-free Navier-Stokes equations, I Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-02T19:47:19.570766Z

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.

source=pdf_text observed=2026-06-27T21:19:50.260165Z digest=sha256:c3529f43989e43670ec6ad0cf9a7a1ad5621971668219d20e9ac1040ee7492f2

Observation 517935dc-efad-4eee-bd32-8a93fac78e85 · inbound

A Structural Audit of Navier-Stokes Obstruction Calculus cites this paper.

A Structural Audit of Navier-Stokes Obstruction Calculus Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-07-04T19:30:07.308649Z

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.

source=pdf_text observed=2026-06-25T21:19:29.702382Z digest=sha256:3fdbf9738433f97cfae55955d61bca43b8f26ae2f2bbb9d716b7548a929afcd1

Observation b89607d9-4902-410c-8c2d-39a99a3a455b · inbound

Norm Inflation for Inviscid and Fully Dissipative Boussinesq Systems in Supercritical Spaces cites this paper.

Norm Inflation for Inviscid and Fully Dissipative Boussinesq Systems in Supercritical Spaces Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T04:34:20.195388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T04:34:20.195388Z digest=sha256:3f88e05665f488f9a9824400a24e473fa15379ee97ad7fbd7e983776318eb27d

Observation 59f880aa-c059-490f-8b6a-83fe6ad79e31 · inbound

Global regularity of temperature patches for the 3D non-diffusive Boussinesq system with large Prandtl number cites this paper.

Global regularity of temperature patches for the 3D non-diffusive Boussinesq system with large Prandtl number Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T03:51:50.599363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:51:50.599363Z digest=sha256:b8d51fa7dc3d125ef4ce32d5b119c1613d92ceb1d756cd32aba6c7bbfe93f7c0

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

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

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

Resolution
unresolved
no resolver link, observed 2026-08-01T23:48:07.542539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T23:48:07.542539Z digest=sha256:2ab519b5993e0ae27c3ad04271cdb0faf6d1f5222d3b15d58c0b2cf7710381a4

Observation 41e55852-6239-4063-87f2-5158c0af6402 · inbound

Self-Similar Solutions of the Two-Dimensional Incompressible Euler Equation from Large Initial Data cites this paper.

Self-Similar Solutions of the Two-Dimensional Incompressible Euler Equation from Large Initial Data Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 7

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The spectral picture of self-similar collapse in the Constantin-Lax-Majda equation cites this paper.

The spectral picture of self-similar collapse in the Constantin-Lax-Majda equation Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 8

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The energy of fractional Allen--Cahn layers in dimension one cites this paper.

The energy of fractional Allen--Cahn layers in dimension one Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 15

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