TY - JOUR

T1 - On the stability of wave processes in a rotating electrically conducting fluid

AU - Peregudin, S.I.

AU - Peregudina, E.S.

AU - Kholodova, S.E.

N1 - Alfven, H., Falthammar, C.-G.: Cosmic Electrodynamics. Oxford, Clarendon

PY - 2018/9/22

Y1 - 2018/9/22

N2 - The paper puts forward a mathematical model of dynamics of spatial large-scale motions in a rotating layer of electrically conducting incompressible perfect fluid of variable depth with due account of dissipative effects. The resulting boundary-value problem is reduced to a vector system of partial differential equations for any values of the Reynolds number. Theoretical analysis of the so-obtained analytical solution reveals the effect of the magnetic field diffusion on the stability of the wave mode — namely, with the removed external magnetic field, the diffusion of the magnetic field promotes its damping. Besides, a criterion of stability of a wave mode is obtained.

AB - The paper puts forward a mathematical model of dynamics of spatial large-scale motions in a rotating layer of electrically conducting incompressible perfect fluid of variable depth with due account of dissipative effects. The resulting boundary-value problem is reduced to a vector system of partial differential equations for any values of the Reynolds number. Theoretical analysis of the so-obtained analytical solution reveals the effect of the magnetic field diffusion on the stability of the wave mode — namely, with the removed external magnetic field, the diffusion of the magnetic field promotes its damping. Besides, a criterion of stability of a wave mode is obtained.

KW - quasi-geostrophic motion

KW - rotating fluid

M3 - Conference article

SP - 184

EP - 189

JO - Journal of Computational Technologies

JF - Journal of Computational Technologies

SN - 1560-7534

IS - 3

T2 - 9th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2018

Y2 - 25 September 2018 through 28 September 2018

ER -