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This article is cited in 13 scientific papers (total in 13 papers)
Toward an ultrametric theory of turbulence
S. V. Kozyrev Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
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.
Received: 17.03.2008
Citation:
S. V. Kozyrev, “Toward an ultrametric theory of turbulence”, TMF, 157:3 (2008), 413–424; Theoret. and Math. Phys., 157:3 (2008), 1713–1722
Linking options:
https://www.mathnet.ru/eng/tmf6289https://doi.org/10.4213/tmf6289 https://www.mathnet.ru/eng/tmf/v157/i3/p413
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