Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density
Analysis of PDEs
2013-10-08 v2
Abstract
In this paper, we establish the global existence of small solutions to the inhomogeneous Navier-Stokes system in the half-space. The initial density only has to be bounded and close enough to a positive constant, and the initial velocity belongs to some critical Besov space. With a little bit more regularity for the initial velocity, those solutions are proved to be unique. In the last section of the paper, our results are partially extended to the bounded domain case.
Keywords
Cite
@article{arxiv.1304.3235,
title = {Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density},
author = {Raphael Danchin and Ping Zhang},
journal= {arXiv preprint arXiv:1304.3235},
year = {2013}
}