Dynamic bifurcation and instability of Dean problem
Analysis of PDEs
2017-04-04 v1
Abstract
The main objective of this paper is to address the instability and dynamical bifurcation of the Dean problem. A nonlinear theory is obtained for the Dean problem, leading in particular to rigorous justifications of the linear theory used by physicists, and the vortex structure. The main technical tools are the dynamic bifurcation theory [15] developed recently by Ma and Wang.
Cite
@article{arxiv.1704.00282,
title = {Dynamic bifurcation and instability of Dean problem},
author = {Huichao Wang and Quan Wang and Ruikuan Liu},
journal= {arXiv preprint arXiv:1704.00282},
year = {2017}
}
Comments
16 pages,1figure