Blow-up of solutions to relaxed compressible Navier-Stokes equations in divergence form

TL;DR

This paper demonstrates that specific non-small solutions to the relaxed compressible Navier-Stokes equations in divergence form can develop singularities (blow-up), highlighting limitations in solution regularity.

Contribution

It establishes the blow-up phenomenon for certain solutions to the relaxed compressible Navier-Stokes equations, a novel insight into their solution behavior.

Findings

Certain non-small solutions blow up in finite time

Blow-up occurs under specific conditions

Highlights limitations in solution regularity for these equations

Abstract

This note shows the blow-up of certain non-small solutions to relaxed compressible Navier-Stokes equations in divergence form.