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. 
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     author = {S. V. Kozyrev},
     title = {Toward an~ultrametric theory of turbulence},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {157},
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     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a7/}
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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/