Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1973-1987
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The equations describing the three-dimensional equatorial dynamics of an ideal electrically conducting inhomogeneous rotating fluid are studied. The magnetic and velocity fields are represented as superpositions of unperturbed steady-state fields and those induced by wave motion. As a result, after introducing two auxiliary functions, the equations are reduced to a special scalar one. Based on the study of this equation, the solvability of initial-boundary value problems arising in the theory of waves propagating in a spherical layer of an electrically conducting density-inhomogeneous rotating fluid in an equatorial zone is analyzed. Particular solutions of the scalar equation are constructed that describe small-amplitude wave propagation.
@article{ZVMMF_2010_50_11_a10,
author = {S. I. Peregudin and S. E. Kholodova},
title = {Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1973--1987},
publisher = {mathdoc},
volume = {50},
number = {11},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a10/}
}
TY - JOUR AU - S. I. Peregudin AU - S. E. Kholodova TI - Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 1973 EP - 1987 VL - 50 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a10/ LA - ru ID - ZVMMF_2010_50_11_a10 ER -
%0 Journal Article %A S. I. Peregudin %A S. E. Kholodova %T Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2010 %P 1973-1987 %V 50 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a10/ %G ru %F ZVMMF_2010_50_11_a10
S. I. Peregudin; S. E. Kholodova. Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1973-1987. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a10/