Work: Nonlinear stochastic waves propagation in nondispersive media. Nizhny Novgorod State University.
Date of birth: 17.02.1974.
Education: 1997-2000 - PhD student at Radiophysical Department, Nizhny Novgorod State University. 20.12.2000 - defense of PhD.
Main results: Burgers' turbulence has been investigated analytically and numerically. Burgers' equation was introduced as a model of fluid dynamic turbulence, and is one of the most famous test models of different approximate theories of turbulence. The main feature of such a theory is interaction of nonlinear coherent structures (shocks). Quantitative and qualitative analyses of the time evolution of pulses with complex structure is performed. The process of regularization of the fine structure of the pulse due to the merging of shock fronts is investigated. By using numerical simulations we obtain the effects of generation of large-scale structure and generation of mean field during the evolution of a modulated pulse with initial mean value. The other term is the stability of large-scale structures in Burgers' turbulence. In this paper is shown that the hypothesis of weak influence of small-scale components on large-scale structures is valid for a continuous spectrum. The estimation of high frequency components influence on evolution of the large-scale part of turbulence shows that the influence is small in power in the initial spectrum for n<1. This consideration is supported by a series of numerical experiments, which demonstrate that the correlation of two different processes of the same large-scale part of spectrum tends to 1 with the increase of time.
Main publications:
- Gurbatov S.N., Pasmanik G.V. The interaction of noise and regular signals in nondispersive media. Self-preservation of large-scale structures.// Izvestiya Akademii Nauk. Seriya Phys., 1998, vol. 62, ¹ 12, p. 2309-2318 (in russian).
- Gurbatov S.N., Pasmanik G.V. Self-preservation of large-scale structures in nonlinear viscous medium described by the Burgers equation.// JETP, 1999, vol. 88, No.2, p. 309-319.
- Gurbatov S.N., Enflo B.O., Pasmanik G.V. The decay of pulses with complex structure according to Burgers' equation.// ACTA ACUSTICA, 1999, vol. 85, No. 2, p. 181-196.
- Gurbatov S.N., Enflo B.O., Pasmanik G.V. The decay of plane wave pulses with complex structure in nonlinear dissipative media.// ACTA ACUSTICA, 2000, vol. 86, No. 6 (http://arXiv.org, physics/0010034).
- Gurbatov S.N., Demin I.Yu., Pasmanik G.V. On parametric generation on low-frequency radiation in evolution of strong modulated noise.// Acoustic Journal, 2001, ¹ 4 (in russian).