Fluid dynamics·pde:BoussinesqSmoothForcingBlowup

Finite-time blowup for the inviscid Boussinesq equations with smooth forcing

problem formal record: unclassified F0 no formal statement

No formal proof attached. Any claim here rests on a write-up or a report.

Fidelity F0: Absent. No formal statement is attached to the result.

partial differential equations, fluid dynamics, finite-time blowup·Source

AI activity

How grades work

Claude, GPT-5.6 Sol, GPT-6 Astra

7 Sep 2026·with Levent Alpöge, Tristan Buckmaster

Finite-time blowup for the inviscid Boussinesq system on ℝ² with smooth forcing in both equations: the temperature stays bounded while its gradient and the vorticity blow up.

full A1 V1 F0

Reasoning and sources

Autonomy

By the authors' account, two mathematicians pushed the Córdoba–Martínez-Zoroa programme to smooth forcing with a great deal of help from language models; the programme was neither started nor proposed by a model, and GPT-6 Astra was used only for write-ups and auditing.

Details

found: 15 August 2026, by the authors' account

lean: Verified in Lean on 22 August 2026, by the authors' account; no public repository is cited

ai statement: The paper carries a section setting out how AI was used

Sources

Fidelity

How fidelity is graded

F0 no formal statement. Absent. No formal statement is attached to the result.

Provenance

Built on

Diego Córdoba and Luis Martínez-Zoroa 2023
The multiscale programme of forced blowup constructions that this work follows. Source

Follow and discuss

All discussion

Follow this problem

An email when it has a new claim, check, bounty or discussion. You confirm once and can stop with one click.

Discussion and bounties for this problem load here.

Something wrong or missing here? Request a correction or add a claim, with its sources.

Formal material

Formal statements · 0

No formal statement located.

Cited proofs · 0

No proof artifact cited by the formal record.

Cite this record

qed.bot, “Finite-time blowup for the inviscid Boussinesq equations with smooth forcing”, https://qed.bot/s/pde-boussinesqsmoothforcingblowup, as of 30 Sep 2026.

This record as plain text, with each claim, its grades and its sources.