On the global existence and stability of 3-D viscous cylindrical circulatory flows
Analysis of PDEs
2017-06-06 v1
Abstract
In this paper, we are concerned with the global existence and stability of a 3-D perturbed viscous circulatory flow around an infinite long cylinder. This flow is described by 3-D compressible Navier-Stokes equations. By introducing some suitably weighted energy spaces and establishing a priori estimates, we show that the 3-D cylindrical symmetric circulatory flow is globally stable in time when the corresponding initial states are perturbed suitably small.
Keywords
Cite
@article{arxiv.1706.01187,
title = {On the global existence and stability of 3-D viscous cylindrical circulatory flows},
author = {Huicheng Yin and Lin Zhang},
journal= {arXiv preprint arXiv:1706.01187},
year = {2017}
}
Comments
21 pages