Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions

0571365 - MÚ 2024 RIV NL eng J - Článek v odborném periodiku
Basarić, Danica - Feireisl, Eduard - Mizerová, Hana
Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions.
Journal of Differential Equations. Roč. 365, August (2023), s. 359-378. ISSN 0022-0396. E-ISSN 1090-2732
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: Navier-Stokes-Fourier system * conditional regularity * blow-up criterion * regular solution
Obor OECD: Pure mathematics
Impakt faktor: 2.4, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.jde.2023.04.026

We consider the Navier–Stokes–Fourier system with the inhomogeneous boundary conditions for the velocity and the temperature. We show that solutions emanating from sufficiently regular data remain regular as long as the density ϱ, the absolute temperature ϑ, and the modulus of the fluid velocity |u| remain bounded.
Trvalý link: https://hdl.handle.net/11104/0342603