We deal with phenomenological aspects of turbulence in three-dimensional incompressibe fl︎uids. In particular, starting from the Navier-Stokes equations we discuss the Kolmogorov theory of turbulence in connection with the persistence of the viscous dissipation in the inviscid limit.
References
Frisch, U., (1995) Turbulence: The legacy of A.N. Kolmogorov, Cambridge University Press.
Kolmogorov, A.N., (1941a). The local structure of turbulence in incompress- ible viscous ︎uid for very large Reynolds number, Dokl. Akad. Nauk SSSR 30, 299-303.
Kolmogorov, A.N., (1941c). Dissipation of energy in locally isotropic turbu- lence, Dokl. Akad. Nauk SSSR 32, 16-18.