#NavierStokes
3. The problem asks: Can smooth solutions blow up in finite time?

Answer: No. The continuum itself stops being fluids at ℓ* = ν/c_s (~0.7 nm). Singularity = description breaks down, not infinity.

I'll take the money now, ty.

#ClayInstitute #NavierStokes #MillenniumProblem
November 3, 2026 at 8:18 PM
Aziz Arbai: Structural Obstructions in Auxiliary-Torus Iterative Schemes for Self-Similar NavierStokes Constructions: Idempotent Cuto Remainders and Diophantine Derivative Loss https://hal.science/hal-05828274v1 [math.math-ap]
October 22, 2026 at 3:00 AM
Where things stand on OpenAI's claim of a solution to the Navier-Stokes stability problem.
#mathematics #math #PDEs #NavierStokes #artificialIntelligence #AI

Source: buff.ly/ZbOyEi4
October 20, 2026 at 1:03 PM
Mathematicians aren’t buying OpenAI’s flashy Navier‑Stokes proof – they say the Lean formal verification still has gaps. Curious how LLMs tackle a Millennium Prize problem? Dive into the debate. #OpenAI #NavierStokes #Lean

🔗 aidailypost.com/news/mathema...
October 17, 2026 at 9:25 AM
If the Navier-Stokes Millennium Prize problem has been resolved, what changes for physics and what does not?

Communications Physics published today an Editorial by our Editorial Board Member Amin Doostmohammadi discussing exactly that.
doi.org/10.1038/s420...
#NavierStokes #FluidDynamics
October 14, 2026 at 6:47 PM
OpenAI Got CAUGHT STEALING From Chat Logs?!
Did the world's most powerful AI lab just steal a million-dollar math breakthrough from a professor's private chat logs? 🚨 When OpenAI announced a historic leap in solving the legendary century-old Navier-Stokes problem, Silicon Valley celebrated. But within hours, the triumph spiraled into a bitter academic firestorm. Renowned NYU mathematician Tristan Buckmaster dropped a bombshell: OpenAI's breakthrough allegedly mirrored his unpublished, cutting-edge techniques—stored right inside his private AI chat logs. While OpenAI vehemently denies scraping or weaponizing user inputs, the scientific community is reeling. Are your private conversations training the very machines designed to replace you? In this explosive episode, we untangle the high-stakes clash between tech giants and academic researchers: - 🌊 The Impossible Math: Why the fluid dynamics of the Navier-Stokes existence and smoothness problem had stumped humans for over a century. - 🕵️‍♂️ The Accusation: How Tristan Buckmaster discovered his private research fingerprints all over OpenAI's grand announcement. - 🛡️ The Corporate Defense: OpenAI’s counter-arguments, algorithmic independence, and data privacy policies under scrutiny. - ⚖️ The Death of Trust: The terrifying precedent this sets for intellectual property, proprietary data, and researchers using generative AI. Is this a testament to the autonomous genius of artificial intelligence—or the ultimate corporate heist disguised as technological progress? 🎧 Listen now, join the conversation, and make sure to subscribe and share your thoughts in the comments below!  
www.spreaker.com
October 13, 2026 at 2:05 PM
🔍💡 ¿Puede la #IA ayudar a resolver uno de los mayores retos de las #matemáticas?
📢 El 19 oct, Diego Córdoba (@icmat.es) hablará sobre el papel de #IA en la investigación de las ecuaciones de #NavierStokes.
📅 19 oct-13h
📍C/Serrano117
🎟️ Inscripción: protocolocsic.stela.pro/Public/Inscr...
October 8, 2026 at 11:52 AM
The authors find exactly this in #OpenAI’s recent #NavierStokes work: Different bounds, different proof strategies, but still valid #Lean code.

2/N
October 7, 2026 at 7:01 PM
💡 Navier-Stokes lost in translation: Why Lean verification of AI autoformalisation does not guarantee correct natural language proofs arxiv.org/abs/2610.08144

#ai #math #science #lean #navierstokes #paper
Navier-Stokes lost in translation: Why Lean verification of AI autoformalisation does not guarantee correct natural language proofs
Autoformalisation is increasingly used to verify mathematical texts, including those generated by AI, as in OpenAI's announced proof of blow-up of solutions to the Navier-Stokes equations. In this…
arxiv.org
October 8, 2026 at 12:00 PM
OpenAI released 377 new mathematical results spanning algebra, number theory and topology, verified with the Lean proof assistant, but mathematicians question the process and the model behind them.

#AdvisoryBoard #Lean #Mathematics #NavierStokes #OpenAI #Research
OpenAI Publishes 377 Math Results, Mathematicians Push Back
OpenAI released 377 new mathematical results spanning algebra, number theory and topology, verified with the Lean proof assistant, but mathematicians question the process and the model behind them.
pulseofnations.lol
October 8, 2026 at 3:42 AM
OpenAI’s Navier–Stokes Singularity Claim, Explained

Follow for the equations hiding behind the news.

#navierstokes #fluiddynamics #millenniumprize #lean
October 7, 2026 at 5:52 AM
Great in-depth interview with the mathematician at the heart of the #navierstokes #openai drama: https://www.youtube.com/watch?v=Mzbtj5nkMXI
October 6, 2026 at 7:16 PM
OpenAI says its AI solved 100+ unsolved maths problems, including Navier–Stokes.

The key question for researchers is whether the work will be exp…

https://en.hacks.gr/i-openai-schediazei-na-dimosieysei-ekatontades-mathimatika-apotelesmata-apo-techniti-noimosyni/

#OpenAI #Mathematics #NavierStokes
October 6, 2026 at 9:58 PM
The #NavierStokes equations describe how fluids flow, from ocean currents to blood in our veins, and they've resisted a full solution for over 150 years. This summer, #AI cracked one class of these equations in record time, sparking real debate in the #FluidMechanics community

🔗 shorturl.at/L50O5
Fast but error-prone AI assists in solving a decades-old fluid mechanics problem in five weeks
An AI assistant helped University of Colorado Boulder researchers solve a mathematical problem that had challenged their lab for a year and a half, though it made subtle errors along the way. The brea...
phys.org
October 2, 2026 at 8:54 AM
I feel like the repeated mentions of #NavierStokes are undermining your argument given:

en.wikipedia.org/wiki/Navier%...

"
#OpenAl acknowledged that #Buckmaster and #Alpöge 's input to models of OpenAl via their use of Codex might have improved the model used for the run
"
Navier–Stokes priority controversy - Wikipedia
en.wikipedia.org
September 30, 2026 at 4:43 PM
OpenAI’s AI agents are cracking proofs like Navier‑Stokes, but are they really 'understanding' math or just brute‑force guessing? Dive into the debate on AI reasoning vs. true insight. #AIagents #NavierStokes #MillenniumPrize

🔗 aidailypost.com/news/ais-pro...
September 28, 2026 at 9:57 AM
The past few weeks should be a wakeup call to all researchers: OpenAI will unashamedly go out of their way to plagiarize your work, attribute the work to A.I., and threaten your career when you catch them, just like they've been doing to artists, writers, and musicians this whole time. #NavierStokes
September 25, 2026 at 7:07 PM
Well this is interesting. #AI #NavierStokes #GiftArticle

I am not, emphatically, at all knowledgeable in this field, so I'm not qualified to agree or disagree with Ms. Tufekci's conclusions. But I'm aware enough to respect her and to know she's someone we should hear.

It was a good read.
Opinion | Why A.I. Is Dangerous for Science (Gift Article)
Beware the flashy but unproven A.I.-powered advances.
www.nytimes.com
September 22, 2026 at 6:58 PM
OpenAI says its new model cracked over 100 math puzzles in a month – from classic proofs to a Navier‑Stokes spin. Could AI be edging toward a Millennium Prize? Dive into the details and see what Timothy Gowers thinks. #OpenAI #MathAI #NavierStokes

🔗 aidailypost.com/news/openai-...
September 22, 2026 at 11:42 AM
Petrillo and Glimm Define a Precise Target for Unforced 3D Navier‑Stokes Blowup Searches

#navierstokes #mathematics #fluiddynamics #formalverification
Petrillo and Glimm Define a Precise Target for Unforced 3D Navier‑Stokes Blowup Searches
A new arXiv preprint formalizes the 'positive defect' target and admissibility criteria to guide computer-assisted searches for unforced 3D Navier‑Stokes blowup.
agentictribune.com
September 22, 2026 at 4:16 AM
On September 8, OpenAI announced its AI agents had produced a solution to the Navier‑Stokes problem, prompting mathematicians to question attribution and the role of human labor in AI breakthroughs.
#tech #OpenAI #NavierStokes
OpenAI Claims AI Agent Solves Navier‑Stokes Equation, Sparking Debate
6ic.com
September 21, 2026 at 5:45 PM