A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system
Analysis of PDEs
2015-06-11 v1
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.
Keywords
Cite
@article{arxiv.1209.3393,
title = {A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system},
author = {Eduard Feireisl and Antonin Novotny and Yongzhong Sun},
journal= {arXiv preprint arXiv:1209.3393},
year = {2015}
}