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 emanatingfrom the data belonging to the Sobolev space $W^3,2$ remains regular as long asthe velocity gradient is bounded. The proof is based on the weak-strong uniqueness property and parabolic a priori estimates for the local strong solutions.
Domains
Analysis of PDEs [math.AP]
Origin : Files produced by the author(s)
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