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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 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 29 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 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 29 of 29 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:48:49.012164Z

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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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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

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Unavailable: canonical work link unavailable.

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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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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=sha256:7c6ea2963c9c33b213539a95b9db035b70788095da2580d7573c1cb868a2b4df

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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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 2026-08-08T06:32:00.761636+00:00.

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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

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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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+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

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T16:33:03.817496Z digest=sha256:e9f84a3fe469d488d22bb69ca52742c7ac5a9d807aad0d703c7c3803f317221b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T07:13:10.140500Z digest=sha256:4d0a7ffe4603ffe5c4fd4987bdb7eb19cbe23525ba7efa542ac12bfe6548aa15

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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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T06:10:25.728290Z digest=sha256:9b59e280957d2f04e858e3643d1fbd402289cab4b084bdc709f48f99500c7e5f

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

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-09T19:39:52.030690Z digest=sha256:ab9f4cdbfdaaaa9bca00c00a71e6fcb0ea2dad046e3fdce63837c90fe10a3726

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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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arxiv_id, observed 2026-05-12T11:01:31.862959Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-07T14:42:44.234828Z digest=sha256:dcfed5e34f9f577905f4a5341afbf15f9cd7671907a437f6713137d25a562168

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

Resolution
metadata mismatch
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 2026-08-08T06:32:00.761636+00:00.

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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

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T03:13:04.176509Z digest=sha256:5fe2f0b1277bbb9aae2df6dd3a6014ef6deebf88e00a338e02ded22f58af5ccf

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-20T20:26:33.949930Z digest=sha256:b8ac57b360bd105ccc14375f78c8ae36d78909880209ac03fb66385c2591f356

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T03:01:01.970527Z digest=sha256:e83e7092e96fd08456075afa9549a87c10a14614779aa7c114fcf467a2bd8c2f

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

Resolution
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-21T00:43:53.209654Z digest=sha256:052842ae0d92e808cafc43735b11cebd2abb05fda52932e327c0b0563e437c73

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

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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 2026-08-08T06:32:00.761636+00:00.

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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

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T13:44:53.931672Z digest=sha256:28a9fd7dbf86f118cecd45ff78d222000349cc39a2985f57322c191d6b8463ea

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

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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 2026-08-08T06:32:00.761636+00:00.

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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

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T21:28:42.173947Z digest=sha256:172541ccda1397ced3a036813da35f73f39da89d73adf4f0565d4e5cf9df2798

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T21:19:50.260165Z digest=sha256:8e0bf5313e322378cc97852ff72a5bc45364f59be4da6a3ebc0247ca6cf0776c

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

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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 2026-08-08T06:32:00.761636+00:00.

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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.

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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

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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:f2b0670b7b9486aed44adaa404f741936b78181db9b1dd55427ad67eb6577889

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

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

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T23:48:07.542539Z digest=sha256:6be7dff3b323c5b3c2d4ea78930e294699410d6d29ce7daf5a244a96700c6392

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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no resolver link, observed 2026-08-01T12:16:30.484385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T12:16:30.484385Z digest=sha256:cf8602bb96c5ad46f890867f138fc5110027fd92186d682ccf56966cecf21032

Observation c7c42121-4b8f-4429-948e-329c06172336 · inbound

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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unresolved
no resolver link, observed 2026-08-01T11:55:37.471256Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:55:37.471256Z digest=sha256:57100cfa4aae9d21d2743d2ec859e47379450af6a6169fe5a1f5fa5cdb9933f1

Observation f5e56762-2755-49f1-9427-853b17b9126a · inbound

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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unresolved
no resolver link, observed 2026-08-07T12:18:03.065484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:18:03.065484Z digest=sha256:d8ae4e2e0ce3657347d63fc32cc9583846e1bbc74692b8918b8c43d3df139e13