## Differential and Integral Equations

### On a regularity criterion for the solutions to the 3D Navier-Stokes equations

Luigi C. Berselli

#### Abstract

In this paper we give a simple proof of the regularity of a class of solutions to the 3D Navier-Stokes equations for a fluid filling {any} smooth three-dimensional domain. The regularity in the same class was proved by Beir\~ao da Veiga in reference [3], for the Cauchy problem in $\mathbb R^n.$

#### Article information

Source
Differential Integral Equations, Volume 15, Number 9 (2002), 1129-1137.

Dates
First available in Project Euclid: 21 December 2012