A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system

Abstract

We show that any weak solution to the full Navier-Stokes-Fourier system emanating from the data belonging to the Sobolev space W^{3,2} remains regular as long as the velocity gradient is bounded. The proof is based on the weak-strong uniqueness property and parabolic a priori estimates for the local strong solutions.

References in corpus (1)

• Weak-strong uniqueness property for the full Navier-Stokes-Fourier system

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