Global regularity for the 3D Navier-Stokes and the 3D Euler equations
Dongho Chae
TL;DR
This paper discusses the global regularity problem for the 3D Navier-Stokes and Euler equations, but the original proof was withdrawn due to a critical error, leaving the problem unresolved.
Contribution
The paper attempted to establish global regularity results for 3D Navier-Stokes and Euler equations, but the proof was withdrawn, highlighting ongoing challenges in the field.
Findings
Original proof was withdrawn due to a serious error
The problem of global regularity remains open
No new results were established in this version
Abstract
The article `Global regularity for the 3D Navier-Stokes and the 3D Euler equations'(arXiv:0711.2453) is withdrawn due to a serious error in the proof.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Computational Fluid Dynamics and Aerodynamics