Quasi-geostrophic wave motion in a rotating layer of electrically conducting fluid with consideration of dissipation effects

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

The purpose of the paper is to obtain an analytic solution of the boundary-value problem for the system of nonlinear partial differential equations that model magnetohydrodynamic perturbations in a layer of perfect electrically conducting rotating fluid bounded by space- and time-varying surfaces with due account of the dissipative factors of the magnetic field diffusion, the inertia forces, and the Coriolis force. We construct an exact solution of the reduced nonlinear equations that describes the propagation of waves of finite amplitude in an infinite horizontally extended electrically conducting fluid when the surface bounding the layer has approximatively constant gradient over distances of the order of the wavelength.

Original languageEnglish
Title of host publicationComputational and Information Technologies in Science, Engineering and Education - 9th International Conference, CITech 2018, Revised Selected Papers
EditorsYuri Shokin, Zhassulan Shaimardanov
PublisherSpringer Nature
Pages181-188
Number of pages8
ISBN (Print)9783030122027
DOIs
StatePublished - 1 Jan 2019
Event9th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2018 - Ust-Kamenogorsk, Kazakhstan
Duration: 25 Sep 201828 Sep 2018

Publication series

NameCommunications in Computer and Information Science
Volume998
ISSN (Print)1865-0929

Conference

Conference9th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2018
Country/TerritoryKazakhstan
CityUst-Kamenogorsk
Period25/09/1828/09/18

Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

Keywords

  • Magnetic field diffusion
  • Magnetohydrodynamic processes
  • Quasi-geostrophic motion
  • Rotating fluid

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