A remark on weak-strong uniqueness for suitable weak solutions of the Navier-Stokes equations

TL;DR

This paper extends weak-strong uniqueness results for Navier-Stokes solutions by introducing new criteria involving Besov and weighted Lebesgue spaces, enhancing understanding of solution uniqueness under broader conditions.

Contribution

It generalizes Barker's results by establishing weak-strong uniqueness criteria using Besov and weighted Lebesgue spaces for suitable weak solutions.

Findings

Extended weak-strong uniqueness criteria for Navier-Stokes

Incorporated Besov space conditions into the analysis

Utilized weighted Lebesgue spaces to broaden applicability

Abstract

We extend Barker's weak-strong uniqueness results for the Navier--Stokes equations and consider a criterion involving Besov spaces and weighted Lebesgue spaces.