On the True Nature of Turbulence

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dc.creatorLi, Y. Charles
dc.date2005-07-13
dc.date.accessioned2026-07-07T05:21:38Z
dc.date.available2026-07-07T05:21:38Z
dc.descriptionIn this article, I would like to express some of my views on the nature of turbulence. These views are mainly drawn from the author's recent results on chaos in partial differential equations \cite{Li04}. Fluid dynamicists believe that Navier-Stokes equations accurately describe turbulence. A mathematical proof on the global regularity of the solutions to the Navier-Stokes equations is a very challenging problem. Such a proof or disproof does not solve the problem of turbulence. It may help understanding turbulence. Turbulence is more of a dynamical system problem. Studies on chaos in partial differential equations indicate that turbulence can have Bernoulli shift dynamics which results in the wandering of a turbulent solution in a fat domain in the phase space. Thus, turbulence can not be averaged. The hope is that turbulence can be controlled.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0507254
dc.identifierhttp://arxiv.org/abs/math/0507254
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75764
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.subjectFluid Dynamics
dc.subject76-02, 37-02, 35-02
dc.titleOn the True Nature of Turbulence
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