Geodesic
Toward an ultrametric theory of turbulence
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 413-424

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We discuss the relation between ultrametric analysis, wavelet theory, and cascade models of turbulence. We construct explicit solutions of the nonlinear ultrametric integral equation with quadratic nonlinearity, using a recursive hierarchical procedure analogous to the procedure used for the cascade models of turbulence.
Keywords: ultrametric wavelet, ultrametric analysis, cascade model of turbulence. 
S. V. Kozyrev. Toward an ultrametric theory of turbulence. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 413-424. http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a7/
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