Stationary flows for viscous heat-conductive fluid in a perturbed half-space
Analysis of PDEs
2024-10-21 v1
Abstract
We consider the non-isentropic compressible Navier-Stokes equation in a perturbed half space with an outflow boundary condition as well as the supersonic condition. This equation models a compressible viscous, heat-conductive, and Newtonian polytropic fluid. We show the unique existence of stationary solutions for the perturbed half-space. The stationary solution constructed in this paper depends on all directions and has multidirectional flow. We also prove the asymptotic stability of this stationary solution.
Keywords
Cite
@article{arxiv.2410.14511,
title = {Stationary flows for viscous heat-conductive fluid in a perturbed half-space},
author = {Mingjie Li and Masahiro Suzuki and Katherine Zhiyuan Zhang},
journal= {arXiv preprint arXiv:2410.14511},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1910.05604