On the Regularity for 3D Navier-Stokes Equation

2013/08/10 by Qun Lin, Lin, Qun
Engineering · Mathematics · #35Q30 #76N10 #Advanced Mathematical Physics Problems #FOS: Mathematics #General Mathematics (math.GM) #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1308.2297

openalex publication_date 2013/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we will prove that the vorticity belongs to L1(0; T ; L2(Ω)) for 3D incompressible Navier-Stokes equation with periodic initial-boundary value conditions, then the existence of a global smooth solution is obtained. Our approach is to construct a set of auxiliary problems to approximate the original one of vorticity equation.

Citations

• On the Regularity of the Solutions for Cauchy Problem of Incompressible 3D Navier-Stokes Equation

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