Global Classical Solutions to the Full Compressible Navier-Stokes System in 3D Exterior Domains
Abstract
The full compressible Navier-Stokes system (FNS) describing the motion of a viscous, compressible, heat-conductive, and Newtonian polytropic fluid in a three-dimensional (3D) exterior domain is studied. For the initial-boundary-value problem with the slip boundary conditions on the velocity and the Neumann one on the temperature, it is shown that there exists a unique global classical solutions with the initial data which are of small energy but possibly large oscillations. In particular, both the density and temperature are allowed to vanish initially. This is the first result about classical solutions of FNS system in 3D exterior domain.
Keywords
Cite
@article{arxiv.2208.11925,
title = {Global Classical Solutions to the Full Compressible Navier-Stokes System in 3D Exterior Domains},
author = {Jiaxu Li and Jing Li and Boqiang Lü},
journal= {arXiv preprint arXiv:2208.11925},
year = {2022}
}
Comments
53 pages. arXiv admin note: text overlap with arXiv:2208.04480. substantial text overlap with arXiv:2207.00441