One New Blowup Criterion for the 2D Full Compressible Navier-Stokes System

TL;DR

This paper introduces a new blowup criterion for the 2D full compressible Navier-Stokes system, based solely on the divergence of velocity, simplifying previous criteria and applicable regardless of temperature.

Contribution

The paper presents a novel blowup criterion for the 2D full compressible Navier-Stokes equations that depends only on velocity divergence, independent of temperature effects.

Findings

Blowup occurs if the divergence of velocity becomes unbounded.

The criterion is similar to the barotropic case.

It simplifies the understanding of singularity formation.

Abstract

We establish a blowup criterion for the two-dimensional (2D) full compressible Navier-Stokes system. The criterion is given in terms of the divergence of the velocity field only, and is independent of the temperature. It is almost the same as that of barotropic case.