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.
Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions
Danica Basaric;
2023-01-01
Abstract
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.File in questo prodotto:
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