Blow-up criteria for the full compressible Navier-Stokes equations involving temperature in Vishik Spaces

Abstract

In this paper, we consider the conditional regularity for the 3D incompressible Navier-Stokes equations in Vishik spaces. These results will be regarded an improvement of the results given by Huang-Li-Xin, (SIAM J. Math. Anal., 2011) and Jiu-Wang-Ye, (J. Evol. Equ., 2021).

Keywords

• full compressible navier-stokes equations
• strong solutions
• blow-up criteria