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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 изданияхстатья в журнале по материалам конференцииРецензирование

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Peregudin, Sergey ; Peregudina, Elina ; Kholodova, Svetlana. / On integration of the system of MHD equations modeling wave processes in a rotating liquid with arbitrary magnetic Reynolds number. в: Journal of Physics: Conference Series. 2019 ; Том 1268, № 1.

BibTeX

@article{facbe44079734ab08974d8c773553cea,
title = "On integration of the system of MHD equations modeling wave processes in a rotating liquid with arbitrary magnetic Reynolds number",
abstract = "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.",
keywords = "boundary conditions, Continuum mechanics, Partial differential equations, Reynolds number",
author = "Sergey Peregudin and Elina Peregudina and Svetlana Kholodova",
year = "2019",
month = jul,
day = "16",
doi = "10.1088/1742-6596/1268/1/012055",
language = "English",
volume = "1268",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",
note = "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 ; Conference date: 13-05-2019 Through 17-05-2019",

}

RIS

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