Blowup analysis for two-dimensional viscous compressible, heat-conductive Navier–Stokes equations

摘要

In this paper, we study the finite time blow-up mechanism of the strong solution to the two-dimensional (2D) viscous, compressible, heat-conductive Navier–Stokes system and initial vacuum states are allowed. We show that if the solution to 2D viscous compressible flows blows up in finite time, then either the mass of the compressible fluid will concentrate in some points or the compressible gas will combust in the finite time.