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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 1, Pages 79–88
DOI: https://doi.org/10.4213/tmf6710 (Mi tmf6710) 		 
Study of the higher-order asymptotic behavior of quantum field expansions in the theory of two-dimensional fully developed turbulence

M. Yu. Nalimov, V. A. Sergeev

Saint Petersburg State University, St.~Petersburg, Russia
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DOI: https://doi.org/10.4213/tmf6710
Abstract: We use a simplified $(0{+}1)$-dimensional theory to develop approaches for studying the higher-order asymptotic behavior of quantum field expansions in the two-dimensional theory of fully developed turbulence. We consider the asymptotic behavior of the correlation function in the small-time limit in the theory of fully developed turbulence and derive and investigate the stationarity equation. We show that the perturbation series in this limit has a finite convergence radius.
Keywords: fully developed turbulence, instanton, renormalization group, stochastic dynamics.
Received: 20.10.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 1, Pages 1432–1440
DOI: https://doi.org/10.1007/s11232-011-0119-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Yu. Nalimov, V. A. Sergeev, “Study of the higher-order asymptotic behavior of quantum field expansions in the theory of two-dimensional fully developed turbulence”, TMF, 169:1 (2011), 79–88; Theoret. and Math. Phys., 169:1 (2011), 1432–1440
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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