| Abstract: |
| We consider the Navier-Stokes-Fourier system governing the motion of a compressible, viscous, and heat conducting fluid confined to a bounded domain, on the boundary of which inhomogeneous Dirichlet boundary conditions for the velocity and the temperature are imposed. It is well-know that the system admits solutions in the classical sense; however, their existence can be guaranteed only on a maximal time interval. We show that a blow-up will not occur as long as the density, the absolute temperature and the modulus of the fluid velocity remain bounded. The proof is based in deriving suitable a priori bounds. |
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