The Beltrami spectrum for incompressible fluid flows
Recently, \textit{V. Yakhot}, \textit{S. A. Orszag}, and their co-workers [Weak interactions and local order in strong turbulence (Preprint Nov. 3, 1986), submitted to Phys. Rev. Lett.; and Phys. Rev. Lett. 54, 2505-2509 (1985)] have suggested that turbulent flows in various regions of space organize into a coherent hierarchy of weakly interacting superimposed approximate Beltrami flows. A mathematical framework is developed here to study organized Beltrami hierarchies in a systematic fashion. This framework is applied to several important classes of examples with universal Beltrami hierarchies. An analysis of the presistence of such Beltrami hierarchies is also presented for general solutions of the Navier-Stokes equations.
coherent hierarchy of weakly interacting superimposed approximate Beltrami flows
scientific article; zbMATH DE number 4096960
scientific article