Geodesic
Galactic dynamo equations with random coefficients
Numerical methods and programming, Tome 15 (2014) no. 2, pp. 351-358.

Voir la notice de l'article provenant de la source Math-Net.Ru

A problem connected with magnetic fields of galaxies is considered. Their evolution is described by the dynamo mechanism existing due to the alpha-effect and the differential rotation. These phenomena are characterized by dimensionless coefficients of the dynamo equations. Usually, it is assumed that these parameters are deterministic. We assume that one of them is described by a random process and is renewed on some small time interval. We also assume that this parameter can take one of two values with some dispersion and probability. Each of these values characterizes a component of the interstellar medium. The growth rates of statistical moments of the magnetic field are evaluated. It is shown that there exists the intermittency phenomenon in this problem (the higher moments grow faster). The problem that has only a time dependence and the problem that has a spatial dependence are also considered. It is shown that the spatial dependence lowers the magnetic field growth rate, which can be explained by some extra dissipation of the magnetic field energy. A nonlinear modification of the problem is discussed.
Keywords: galaxy magnetic fields, equations with random coefficients, dynamo theory, intermittency. 
@article{VMP_2014_15_2_a13,
     author = {E. A. Mikhaylov and I. I. Modyaev},
     title = {Galactic dynamo equations with random coefficients},
     journal = {Numerical methods and programming},
     pages = {351--358},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_2_a13/}
}
TY  - JOUR
AU  - E. A. Mikhaylov
AU  - I. I. Modyaev
TI  - Galactic dynamo equations with random coefficients
JO  - Numerical methods and programming
PY  - 2014
SP  - 351
EP  - 358
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2014_15_2_a13/
LA  - ru
ID  - VMP_2014_15_2_a13
ER  - 
%0 Journal Article
%A E. A. Mikhaylov
%A I. I. Modyaev
%T Galactic dynamo equations with random coefficients
%J Numerical methods and programming
%D 2014
%P 351-358
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2014_15_2_a13/
%G ru
%F VMP_2014_15_2_a13
E. A. Mikhaylov; I. I. Modyaev. Galactic dynamo equations with random coefficients. Numerical methods and programming, Tome 15 (2014) no. 2, pp. 351-358. http://geodesic.mathdoc.fr/item/VMP_2014_15_2_a13/