Towards ultrametric theory of turbulence

Details Towards ultrametric theory of turbulence Towards ultrametric theory of turbulence

2008-03-18

arxiv.org/abs/0803.2719v1

Theoretical and Mathematical Physics, 2008, 157:3, 1713--1722

Physics

Mathematical Physics

11 pages

Scientific paper

10.1007/s11232-008-0143-3

Relation of ultrametric analysis, wavelet theory and cascade models of
turbulence is discussed. We construct the explicit solutions for the nonlinear
ultrametric integral equation with quadratic nonlinearity. These solutions are
built by means of the recurrent hierarchical procedure which is analogous to
the procedure used for the cascade models of turbulence.

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