Smoothness criteria for Navier-Stokes equations in terms of regularity along the steam lines

2007/11/30 by Chi Hin Chan, Chan, Chi Hin
Engineering · Mathematics · #35B65 #76D03 #76D05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.0711.5008

openalex publication_date 2007/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article is devoted to a regularity criteria for solutions of the Navier-Stokes equations in terms of regularity along the stream lines. More precisely, we prove that a suitable weak solution for the Navier-Stokes equations is regular under some constraint on the second derivative of |u| along the stream lines.

Citations

• StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions
• On functions of bounded mean oscillation
• Sur le mouvement d'un liquide visqueux emplissant l'espace

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