On integration of the system of MHD equations modeling wave processes in a rotating liquid with arbitrary magnetic Reynolds number

Sergey Peregudin, Elina Peregudina, Svetlana Kholodova

Research output: Contribution to journalConference articlepeer-review

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.

Original languageEnglish
Article number012055
JournalJournal of Physics: Conference Series
Volume1268
Issue number1
DOIs
StatePublished - 16 Jul 2019
EventAll-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019 - Novosibirsk, Russian Federation
Duration: 13 May 201917 May 2019

Scopus subject areas

  • Physics and Astronomy(all)

Keywords

  • boundary conditions
  • Continuum mechanics
  • Partial differential equations
  • Reynolds number

Fingerprint

Dive into the research topics of 'On integration of the system of MHD equations modeling wave processes in a rotating liquid with arbitrary magnetic Reynolds number'. Together they form a unique fingerprint.

Cite this