We’re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics.
The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra.
The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.
Philip Cardiff retweeted
この論文で示した興味深い事実の一つは、要素ループで実装する有限要素法(P1 Galerkin)よりも、それをエッジループで実装した、いわゆるエッジベース法の方が計算が少なく効率的で、しかも4次元でさらに効率が良くなること(2次元で73%、3次元で35%、4次元で12%)。
NASAの4次元シミュレーションコード開発のベースとなる論文が、正式にジャーナルに掲載された。下の図は、4次元の単要素(黒線)と、それに隣接する3つの単要素(赤、青、緑)を表したもの。「よくわからない」と言われても、「そうですよね」としか言えない...。
"Edge-Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four-Dimensional Space", Nicholas Tufillaro, David M. Williams, Hiroaki Nishikawa, 2026 (Open Access)
onlinelibrary.wiley.com/doi/…
Philip Cardiff retweeted
🎉 Registration is now OPEN for the 31st Annual BinI Conference 2026!
💡Early bird rates until Nov 21, 2025: PhD/Postdoc: €150 PI: €220 (Standard rates: €200 / €270)
🔗 Register via RAMI: rami.ie/bini-event-registrat…
#BinI2026
Philip Cardiff retweeted
A Finite Volume Simo-Reissner Beam solver for Moored Floating bodies: sciencedirect.com/science/ar…
Important advancement by @ah_taran, with @SeevaniB,
led by @phiiliipc with Zeljko Tukovic.
#NexSys
@MaREIcentre @SEAI_ie @Researchirel @ERC_Research @ichec @UCDmechanics @UCD_Mech_Eng
Philip Cardiff retweeted
Better late than never. The official group picture from the #ofw20
Philip Cardiff retweeted
Don't miss out on the OpenFoam Workshop submission deadline: 30th of April! This is your chance to showcase your latest results, learn from industry experts, and connect with fellow colleagues. Make sure to submit on time to be part of this event, in beautiful Vienna, Austria
Philip Cardiff retweeted
What was missing: Workshop tales place from June 30th to July 4th, 2025. (but you probably already got this in your calendars and travel itineraries)
Philip Cardiff retweeted
We are excited to invite researchers, developers, hardware vendors, and industrial users to discuss OpenFOAM performance on cutting-edge HPC systems: 1st OpenFOAM HPC Challenge (OHC-1), taking place July 1–2, 2025, in Vienna, Austria, as part of the 2025 OpenFOAM Workshop
Philip Cardiff retweeted
👉EFDC2 REMINDER: ABSTRACT SUBMISSION FINAL DEADLINE: 10 FEBRUARY 2025 (23:59 GMT) ❤️❤️❤️
2nd European Fluid Dynamics Conference
(EFDC2, 26-29 August 2025, UCD, Dublin, Ireland)
Submit an abstract for oral presentation by visiting our website: efdc2.com/abstract
Philip Cardiff retweeted
Don't forget. Early Bird for the #OFW20 in Vienna (June 30 to July 4th) is available till tomorrow. Book now
Philip Cardiff retweeted
EFDC2 ABSTRACT SUBMISSION DEADLINE EXTENDED TO 10 FEBRUARY 2025 (23:59 GMT) ❤️❤️❤️ 💯
2nd European Fluid Dynamics Conference (EFDC2, 26-29 August 2025, UCD, Dublin, Ireland)
Submit an abstract for oral presentation by visiting our website: efdc2.com/abstract
Philip Cardiff retweeted
2nd European Fluid Dynamics Conference
(EFDC2, 26-29 August 2025, UCD, Dublin, Ireland)
LAST CHANCE TO SUBMIT YOUR ABSTRACT! ⏳⌛️
➡️➡️➡️GO TO: efdc2.com/abstract
EFDC2 ABSTRACT SUBMISSION DEADLINE:
23 JANUARY 2025
Are you interested in working as a Postdoc with me at University College Dublin on developing finite volume methods for cardiovascular fluid-solid interaction simulations? Apply here (search for Job Ref 018140): lnkd.in/eKviXJ5P
#jobfairy @UCD_Mech_Eng @ERC_Research
Philip Cardiff retweeted
Important work ledby Andrew Whelan, @phiiliipc , Tian Tang:A Finite Volume Framework for Damage+Fracture Prediction in Wire Drawing @MaREIcentre @Bekaert @I_Form_Centre @SEAI_ie @AtlanticArea
See: lnkd.in/dC4c5Cey
This kind of work takes time.
@UCDmechanics @UCD_Mech_Eng
Philip Cardiff retweeted
📣Hello BinI-ers‼️🚨 BIG NEWS!! The program at a glance is now live! Check it out: ucd.ie/biomedicalengineering…
🗓️ Abstract registration opens Friday at 10 AM at the Hudson Bay Hotel, with the EI Medal session starting at 11:15 AM.
Philip Cardiff retweeted
For those who haven't seen it yet: the 20th #OpenFOAM workshop takes place in Vienna from June 20th to July 4th 2025
Information and registration at
openfoamworkshop.org
#ofws20



























