Zak, Michail (2009) Turbulence revisited. Chaos, Solitons, and Fractals, 41 (3). pp. 1136-1149. ISSN 0960-0779 http://resolver.caltech.edu/CaltechAUTHORS:20091028-140332593
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A new approach to turbulence based upon the Stabilization Principle is introduced. Onset of turbulence is interpreted as loss of stability of solutions to the Navier–Stokes equations in the class of differentiable functions. Developed turbulence is considered as postinstability motion in the class of non-differentiable functions. A non-linear version of the Liouville equation is proposed for describing postinstability motions of dynamical systems with exponential divergence of trajectories such as those leading to chaos and turbulence. As a result, velocities are represented by a set of stochastic invariants found from the Stabilization Principle.
|Additional Information:||© 2008 Elsevier Ltd. Accepted 28 April 2008; available online 20 June 2008. Copyright 2008 California Institute of Technology. Government sponsorship acknowledged. The research described in this paper was performed at Jet Propulsion Laboratory California Institute of Technology under contract with National Aeronautics and Space Administration.|
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|Deposited By:||Jason Perez|
|Deposited On:||30 Oct 2009 16:34|
|Last Modified:||26 Dec 2012 11:30|
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