Notes on the Liouville type problem for the stationary Navier-Stokes equations in \Bbb R³

2018/10/23 by Dongho Chae, Chae, Dongho
Computer Science · Mathematics · #35Q30 #76D03 #76D05 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1810.09982

openalex publication_date 2018/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the Liouville type problem for the stationary Navier-Stokes equations in \Bbb R³. We deduce an asymptotic formula for an integral involving the head pressure, Q=\frac12 |v|² +p, and its derivative over domains enclosed by level surfaces of Q. This formula provides us with new sufficient condition for the triviality of solution to the Navier-Stokes equations.

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