Geodesic
Study of the~higher-order asymptotic behavior of quantum field expansions in the~theory of two-dimensional fully developed turbulence
Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 1, pp. 79-88

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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. 
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     author = {M. Yu. Nalimov and V. A. Sergeev},
     title = {Study of the~higher-order asymptotic behavior of quantum field expansions in the~theory of two-dimensional fully developed turbulence},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {79--88},
     publisher = {mathdoc},
     volume = {169},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_169_1_a7/}
}
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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. Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 1, pp. 79-88. http://geodesic.mathdoc.fr/item/TMF_2011_169_1_a7/