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arXiv · 2301.13496

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

Danica Basarić·Eduard Feireisl·Hana Mizerová
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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 $\varrho$, the absolute temperature $\vartheta$, and the modulus of the fluid velocity $|\textbf{u}|$ remain bounded.

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Danica Basarić, Eduard Feireisl, Hana Mizerová. 2023-01-31. Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions. https://arxiv.org/abs/2301.13496

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