Mathematical modeling of the dynamics of a rotating layer of an electrically conducting fluid with magnetic field diffusion effects

S. I. Peregudin, E. S. Peregudina, S. E. Kholodova

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Abstract

The present paper is concerned with dynamical processes in an electrically conducting rotating incompressible liquid with consideration of the inhomogeneity of density and the magnetic field diffusion effect. By introducing auxiliary functions, the given system of partial differential equations can be reduced to one scalar equation. This in turn suggests the analytic nature of the magnetohydrodynamic characteristics under consideration. In this study, the dissipative effects (the magnetic field diffusion) are taken into account.

Original languageEnglish
Title of host publicationProcesses in GeoMedia - Volume II
EditorsTatiana Chaplina
PublisherSpringer Nature
Pages377-387
Number of pages11
ISBN (Electronic)978-3-030-53521-6
ISBN (Print)978-3-030-53520-9
DOIs
StatePublished - 2021

Publication series

NameSpringer Geology
ISSN (Print)2197-9545
ISSN (Electronic)2197-9553

Scopus subject areas

  • Earth and Planetary Sciences(all)

Keywords

  • Dissipation effects
  • Electrically conducting liquid
  • Hydrodynamics
  • Incompressible liquid
  • Magnetic field diffusion
  • Magnetic hydrodynamics
  • Wave theory

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