Zobrazeno 1 - 10
of 20
pro vyhledávání: '"A. S. Il'yn"'
Publikováno v:
Doklady Physics. 67:278-281
Publikováno v:
Physical Review E. 107
We consider the line, surface and volume elements of fluid in stationary isotropic incompressible stochastic flow in $d$-dimensional space and investigate the long-time evolution of their statistic properties. We report the discovery of a family of $
We consider finite-dimensional systems of linear stochastic differential equations ${\partial_t}{x_k}\left( t \right) = {A_{kp}}\left( t \right){x_p}\left( t \right)$, ${\bf A}(t)$ being a stationary continuous statistically isotropic stochastic proc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9350b4e6706cf182f1ff375ec44911ad
We consider the kinematic stage of evolution of magnetic field advected by turbulent hydrodynamic flow. We use a generalization of the Kazantsev–Kraichnan model to investigate time irreversible flows. In the viscous range of scales, the infinite-ti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d577700d975f1399fc96f97a30e7a1ec
http://arxiv.org/abs/2112.05736
http://arxiv.org/abs/2112.05736
We consider fluctuations of magnetic field excited by external force and advected by isotropic turbulent flow. It appears that non-Gaussian velocity gradient statistics and finite region of pumping force provide the existence of stationary solution.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7713ccf46f00c055511d70178f8adc1e
Publikováno v:
The Astrophysical Journal. 927:172
We consider a natural generalization of the Kazantsev–Kraichnan model for a small-scale turbulent dynamo. This generalization takes into account the statistical time asymmetry of a turbulent flow and thus allows one to describe velocity fields with
Publikováno v:
Physics of Fluids. 33:119101
The paper [Djenidi et al., Phys. Fluids 33(3), 031703 (2021)] considers a classical issue of an anomalous scaling of velocity structure functions in a high-Reynolds number turbulent flow. The paper offers a mathematical proof of the ground-breaking r
Publikováno v:
Physics of Fluids. 33:075105
Kinematic dynamo in incompressible isotropic turbulent flows with high magnetic Prandtl number is considered. The approach interpreting an arbitrary magnetic field distribution as a superposition of localized perturbations (blobs) is proposed. We der
Publikováno v:
Physical review. E. 99(5-1)
The impact of turbulent advection in reaction-diffusion systems is investigated for the viscous range of scales. We show that the population size can increase exponentially even in systems with density saturation, at the expense of exponential propag
Autor:
A. S. Il'yn, Kirill P. Zybin
Publikováno v:
Physics-Uspekhi. 59:1241-1244