Robustness of strong solutions to the compressible Navier-Stokes system
Analysis of PDEs
2014-04-08 v1
Abstract
We consider the Navier-Stokes system describing the time evolution of a compressible barotropic fluid confined to a bounded spatial domain in the 3-D physical space, supplemented with the Navier's slip boundary conditions. It is shown that the class of global in time strong solutions is robust with respect to small perturbations of the initial data. Explicit qualitative estimates are given also in terms of the shape of the underlying physical domain, with applications to problems posed on thin cylinders.
Keywords
Cite
@article{arxiv.1404.1550,
title = {Robustness of strong solutions to the compressible Navier-Stokes system},
author = {Peter Bella and Eduard Feireisl and Bum Ja Jin and Antonin Novotny},
journal= {arXiv preprint arXiv:1404.1550},
year = {2014}
}
Comments
22 pages