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.
Type de document :
Article dans une revue
Archive for Rational Mechanics and Analysis, Springer Verlag, 2014, 212 (1), pp.219-239
https://hal-univ-tln.archives-ouvertes.fr/hal-00994815
Contributeur : Antonin Novotny
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Soumis le : jeudi 22 mai 2014 - 11:03:03
Dernière modification le : mardi 19 juin 2018 - 15:50:01
Document(s) archivé(s) le : vendredi 22 août 2014 - 11:36:09
Eduard Feireisl, Antonin Novotny, Yongzhong Sun. A Regularity Criterion for the Weak Solutions to the Navier-Stokes-Fourier System. Archive for Rational Mechanics and Analysis, Springer Verlag, 2014, 212 (1), pp.219-239. 〈hal-00994815〉
