Dynamic bifurcation and instability of Dean problem

Huichao Wang; Quan Wang; Ruikuan Liu

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arXiv · 1704.00282

Dynamic bifurcation and instability of Dean problem

Huichao Wang·Quan Wang·Ruikuan Liu

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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.

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Huichao Wang, Quan Wang, Ruikuan Liu. 2017-04-02. Dynamic bifurcation and instability of Dean problem. https://arxiv.org/abs/1704.00282

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