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

0425055 - MÚ 2015 DE eng J - Článek v odborném periodiku
Feireisl, Eduard - Novotný, A. - Sun, Y.
A regularity criterion for the weak solutions to the Navier–Stokes–Fourier system.
Archive for Rational Mechanics and Analysis. Roč. 212, č. 1 (2014), s. 219-239. ISSN 0003-9527. E-ISSN 1432-0673
Klíčová slova: Navier-Stokes-Fourier system * conditional regularity * weak solution
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 2.219, rok: 2014
http://link.springer.com/article/10.1007%2Fs00205-013-0697-6

We show that any weak solution to the full Navier–Stokes–Fourier system emanating from the data belonging to Sobolev spaces of sufficiently high order 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.
Trvalý link: http://hdl.handle.net/11104/0231005