Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions
Analysis of PDEs
2020-07-24 v1
Abstract
We consider the barotropic Navier--Stokes system describing the motion of a viscous compressible fluid interacting with the outer world through general in/out flux boundary conditions. We consider a hard--sphere type pressure EOS and show that all trajectories eventually enter a bounded absorbing set. In particular, the associated omega-limit sets are compact and support a stationary statistical solution.
Keywords
Cite
@article{arxiv.2007.11878,
title = {Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions},
author = {Jan Brezina and Eduard Feireisl and Antonin Novotny},
journal= {arXiv preprint arXiv:2007.11878},
year = {2020}
}