Small B^-1_∞,∞ implies regularity

2016/09/08 by Taoufik Hmidi, Li Dong, Hmidi, Taoufik +1
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1609.02802

openalex publication_date 2016/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We show that smallness of B^-1_∞,∞ norm of solution to d-dimensional (d≥ 3) incompressible Navier-Stokes prevents blowups.

Citations

• Sur le mouvement d'un liquide visqueux emplissant l'espace
• Vortex stretching and criticality for the 3D NSE

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