Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
On integration of the system of MHD equations modeling wave processes in a rotating liquid with arbitrary magnetic Reynolds number. / Peregudin, Sergey; Peregudina, Elina; Kholodova, Svetlana.
в: Journal of Physics: Conference Series, Том 1268, № 1, 012055, 16.07.2019.Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
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TY - JOUR
T1 - On integration of the system of MHD equations modeling wave processes in a rotating liquid with arbitrary magnetic Reynolds number
AU - Peregudin, Sergey
AU - Peregudina, Elina
AU - Kholodova, Svetlana
PY - 2019/7/16
Y1 - 2019/7/16
N2 - The paper is concerned with the dynamics of large-scale wave processes in a rotating layer of inviscid conducting incompressible liquid of variable depth. The problem is modelled as a system of partial differential equations with necessary boundary conditions. With the help of auxiliary functions, the above system of partial differential magnetohydrodynamic equations is reduced to a single scalar partial differential equation. An exact analytic solution of the small perturbation problem is obtained. It is shown that if the external magnetic field is parallel to the axis of rotation of the layer, then the magnetic field decays for finite values of the magnetic Reynolds number.
AB - The paper is concerned with the dynamics of large-scale wave processes in a rotating layer of inviscid conducting incompressible liquid of variable depth. The problem is modelled as a system of partial differential equations with necessary boundary conditions. With the help of auxiliary functions, the above system of partial differential magnetohydrodynamic equations is reduced to a single scalar partial differential equation. An exact analytic solution of the small perturbation problem is obtained. It is shown that if the external magnetic field is parallel to the axis of rotation of the layer, then the magnetic field decays for finite values of the magnetic Reynolds number.
KW - boundary conditions
KW - Continuum mechanics
KW - Partial differential equations
KW - Reynolds number
UR - http://www.scopus.com/inward/record.url?scp=85073891143&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1268/1/012055
DO - 10.1088/1742-6596/1268/1/012055
M3 - Conference article
AN - SCOPUS:85073891143
VL - 1268
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012055
T2 - All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019
Y2 - 13 May 2019 through 17 May 2019
ER -
ID: 49634457