A simple proof of blow up criterion of Bjorland and Vasseur for Navier-Stokes equations

TL;DR

This paper provides a straightforward proof of a blow-up criterion for the 3D Navier-Stokes equations, utilizing energy methods and real analysis to simplify previous approaches.

Contribution

It offers a simplified proof of the Bjorland and Vasseur blow-up criterion for Navier-Stokes equations, enhancing understanding and accessibility.

Findings

Proof simplifies the original blow-up criterion

Uses energy methods and real analysis techniques

Clarifies conditions leading to solution blow-up

Abstract

In this paper, we present a simple proof of blow up criterion of Bjorland and Vasseur for three dimensional Navier-Stokes equations by energy method and some facts in real analysis.