Weak-strong uniqueness for the isentropic compressible Navier-Stokes system

TL;DR

This paper establishes conditions under which strong solutions to the isentropic compressible Navier-Stokes system are unique among weak solutions, improving existing weak-strong uniqueness results and deriving classical uniqueness outcomes.

Contribution

It provides new, improved weak-strong uniqueness results for the isentropic compressible Navier-Stokes equations on the torus, extending classical uniqueness theorems.

Findings

Improved weak-strong uniqueness conditions.

Derivation of classical uniqueness results.

Enhanced understanding of solution behavior.

Abstract

We prove weak-strong uniqueness results for the isentropic compressible Navier-Stokes system on the torus. In other words, we give conditions on a strong solution so that it is unique in a class of weak solutions. Known weak-strong uniqueness results are improved. Classical uniqueness results for this equation follow naturally.