PMID: 15244715Jul 13, 2004Paper

Controllability of flow turbulence

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Shuguang GuanC-H Lai

Abstract

In this paper, we study the controllability of real-world flow turbulence governed by the two-dimensional Navier-Stokes equations, using strategies developed in chaos control. A case of control/synchronization of turbulent dynamics is observed when only one component of the velocity field vector is unidirectionally coupled to a target state, while the other component is uncoupled. Unlike previous results, it is shown that the dynamics of the whole velocity field cannot be completely controlled/synchronized to the target, even in the limit of long time and strong coupling strength. It is further revealed that the controlled component of the velocity field can be fully controlled/synchronized to the target, but the other component, which is not directly coupled to the target, can only be partially controlled/synchronized to the target. By extending an auxiliary method to distributed dynamic systems, the partial synchronization of two turbulent orbits in the present study can be categorized in the domain of generalized synchronization of spatiotemporal dynamics.

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Citations

Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Guoning Tang, Gang Hu
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Meng ZhanXu Liu
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Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jihua GaoMeng Zhan
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Panpan LiuXingang Wang
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Panpan LiuXingang Wang
Mar 12, 2013·Physical Review Letters·Cristian C LalescuGregory L Eyink

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