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

0571365 - MÚ 2024 RIV NL eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : Navier-Stokes-Fourier system * conditional regularity * blow-up criterion * regular solution
OECD category: Pure mathematics
Impact factor: 2.4, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0342603