Weak-strong uniqueness property for models of compressible viscous fluids near vacuum

TL;DR

This paper extends the weak-strong uniqueness principle to a broad class of compressible viscous fluid models near vacuum, including cases with positive density and polynomial decay at infinity.

Contribution

It generalizes the weak-strong uniqueness principle to models of compressible viscous fluids near vacuum, covering physically relevant density decay conditions.

Findings

Established weak-strong uniqueness for models near vacuum.

Included cases with positive density and polynomial decay.

Extended theoretical understanding of fluid models near vacuum.

Abstract

We extend the weak-strong uniqueness principle to general models of compressible viscous fluids near/on the vacuum. In particular, the physically relevant case of positive density with polynomial decay at infinity is considered.