Wave action and critical surfaces for hydromagnetic-inertial-gravity waves

M. E. Sawi, I. A. Eltayeb

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The propagation properties of hydromagnetic-inertial-gravity waves riding a basic state which varies slowly in two independent coordinates are examined in the Boussinesq approximation. The amplitudes of the waves are governed by an equation representing conservation of wave action. A study of the dispersion relation shows that the existence of critical surfaces (i.e. the analogue of critical levels in two-dimensions) is governed by nonlinear partial differential equations for the phase function of the waves. Although a solution of these equations is not readily obtainable, the geometric representation of the dispersion relation indicates the existence of critical surfaces for certain types of basic state. These are composed of magnetic field lines and, in contrast to the non-magnetic case, they are associated with energy propagation.

Original languageEnglish
Pages (from-to)187-202
Number of pages16
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume34
Issue number2
DOIs
Publication statusPublished - May 1981

Fingerprint

Gravity Waves
Gravity waves
Gravitation
Magnetic Fields
gravity waves
magnetohydrodynamics
Dispersion Relation
Propagation
Boussinesq approximation
Boussinesq Approximation
Geometric Representation
propagation
conservation equations
Nonlinear Partial Differential Equations
partial differential equations
Wave propagation
Partial differential equations
Conservation
Two Dimensions
Magnetic Field

ASJC Scopus subject areas

  • Molecular Biology
  • Mechanical Engineering
  • Mechanics of Materials
  • Applied Mathematics
  • Computational Mathematics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Wave action and critical surfaces for hydromagnetic-inertial-gravity waves. / Sawi, M. E.; Eltayeb, I. A.

In: Quarterly Journal of Mechanics and Applied Mathematics, Vol. 34, No. 2, 05.1981, p. 187-202.

Research output: Contribution to journalArticle

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