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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 3, Pages 413–424
DOI: https://doi.org/10.4213/tmf6289 (Mi tmf6289) 		 
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
Full-text PDF (457 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf6289
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
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 3, Pages 1713–1722
DOI: https://doi.org/10.1007/s11232-008-0143-3
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v157/i3/p413
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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