Particularities of integrating the periodic functions in the presence of the timescale gradients and turbulence issues. (English) Zbl 1461.76300

Aptsiauri, A.; Aptsiauri, G.

Trans. A. Razmadze Math. Inst. 173, No. 2, 3-8 (2019).

Summary: The paper demonstrates that with a strictly periodic nature of fluctuation of scalar parameters at a fixed point of a space, in the presence of timescale gradients at this point, the gradients of these parameters are not periodic functions

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, but they are complex, almost periodic in the form of a combination of regular and low-frequency (or periodic) fluctuations. This result indicates the link between the discrete spectrum of turbulence and the frequency gradients, as well as the need for considering a more general mode with regard for the timescale effect.

MSC:

76F55	Statistical turbulence modeling
42A75	Classical almost periodic functions, mean periodic functions

Keywords:

oscillation; turbulent time scale; conservation; almost periodic function

References:

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