Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions
Analysis of PDEs
2023-02-01 v1
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 , the absolute temperature , and the modulus of the fluid velocity remain bounded.
Keywords
Cite
@article{arxiv.2301.13496,
title = {Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions},
author = {Danica Basarić and Eduard Feireisl and Hana Mizerová},
journal= {arXiv preprint arXiv:2301.13496},
year = {2023}
}