Remarks on weak-strong uniqueness for two-fluid model

TL;DR

This paper establishes a weak-strong uniqueness principle for a compressible two-fluid model, showing that under certain conditions, weak solutions coincide with classical solutions over their lifespan.

Contribution

It proves a conditional weak-strong uniqueness result for the compressible two-fluid model with algebraic pressure closure.

Findings

Weak solutions with bounded densities match classical solutions when they exist.

The result applies to solutions with finite energy and bounded densities.

The principle holds over the lifespan of the classical solution.

Abstract

This paper concerns with the compressible two-fluid model with algebraic pressure closure. We prove a conditional weak-strong uniqueness principle, meaning that a finite energy weak solution, with bounded densities, coincides with the classical solution on the lifespan of the latter emanating from the same initial data.