19 citations · 54 across the 12 of their papers we have counts for
14 papers
Evolution of the inner core of the earth: consequences for geodynamo
M. Yu. Reshetnyak
Using models of the Earth's core evolution and the length of the day observations the change of the dimensionless geodynamo parameters is considered. The evolutionary model include…
Latitude dependence of convection and magnetic field generation in the cube
M. Yu. Reshetnyak
The 3D thermal convection in the Boussinesq approximation with heating from below and dynamo in the cube are considered. We study dependence of the convection intensity and magneti…
Growth of the inner core in the mean-field dynamo model
M. Yu. Reshetnyak
Application of Parker's dynamo model to the geodynamo with the growing inner core is considered. It is shown that decrease of the inner core size, where intensive magnetic field ge…
Parker's model in geodynamo
M. Reshetnyak
We consider how information on geostrophic flows in the planetary cores, taken from 3D simulations in the sphere, can be used in 2D Parker's geodynamo model with the simple forms o…
Inverse problem in Parker's dynamo
M. Yu. Reshetnyak
The inverse solution of the 1D Parker dynamo equations is considered. The method is based on minimization of the cost-function, which characterize deviation of the model solution p…
The mean-field dynamo model
Maxim Reshetnyak
The 2D Parker's mean-field dynamo equations with a various distributions of the - and -effects are considered. We show that smooth profiles of and can produce dipole…
Domino model in geodynamo
P. Hejda, M. Reshetnyak
Using Lagrangian formalism we consider evolution of the ensemble of interacting magnetohydrodynamic cyclones governed with Langevin type equations in the rotating medium. This prob…
Heat flux modulation in domino dynamo model
Maxim Reshetnyak, Pavel Hejda
Using the domino dynamo model, we show how variations of the heat flux at the core-mantle boundary change the frequency of geomagnetic field reversals. In fact, we are able to demo…
Kinetic energy cascades in quasi-geostrophic convection in a spherical shell
Maxim Reshetnyak, Pavel Hejda
We consider triadic nonlinear interaction in the Navier-Stokes equation for quasi-geostrophic convection in a spherical shell. This approach helps understanding the origin of kinet…
Parker's dynamo and geomagnetic reversals
M. Reshetnyak, D. Sokoloff
Fluctuations of the alpha-effect which break equatorial symmetry of the flow in the kinematic Parker's dynamo are considered. We show, that even small (a few percents) fluctuation…
The parametric resonance in the -dynamo models
Maxim Reshetnyak
It is shown, that retardation in the -quenching in the Parker's dynamo model leads to parametric resonance. This result is observed in the numerical simulations and can be repro…
Nonlinearity in a dynamo
P. Hejda, M. Reshetnyak
Using a rotating flat layer heated from below as an example, we consider effects which lead to stabilizing an exponentially growing magnetic field in magnetostrophic convection in…
Direct and inverse cascades in the geodynamo
M. Reshetnyak, P. Hejda
The rapid rotation of planets causes cyclonic thermal turbulence in their cores which may generate the large-scale magnetic fields observed outside the planets. We consider the mod…
Effects of anisotropy in geostrophic turbulence
P. Hejda, M. Reshetnyak
The Boussinesq model of convection in a flat layer with heating from below is considered. We analyze the effects of anisotropy caused by rapid rotation in physical and wave spaces…