Abstract
New observational data and modeling of physical processes constantly appear in the young and rapidly developing branch of science of plasma astrophysics. However, there is a lack of theoretical studies in the field of plasma astrophysics, that could unite the physics of various objects in the Universe, explain the observed phenomena and contribute to the improvement of numerical modeling schemes efficiency. This article makes up for this shortcoming by introducing different models, taking into account the various properties of plasma objects. We present a review of the latest magnetohydrodynamic theories of wave processes in rotating astrophysical plasma, taking into account important and common properties of astrophysical objects as compressibility and stratification.
Highlights
A strong advantage of plasma astrophysics is similarity of plasma processes that arise in different astrophysical objects
Within the framework of magnetohydrodynamic equations in two-layer shallow water approximation, we have considered spherical flows to study the effect of stratification on low-frequency magneto-Rossby waves
We investigate the effects of stratification on magnetoRossby waves in two-layer model
Summary
The study of large-scale magnetohydrodynamic (MHD) flows has come to the front due to the development of a number of new research applications in this area They are dynamics of the solar tachocline [1,2,3,4], accretion of matter onto neutron stars [5,6,7], dynamics of the atmospheres of neutron stars and magnetoactive atmospheres of exoplanets [8]. Theoretical and numerical studies are being actively developed to solve the problems of studying multiscale flows of astrophysical plasma They are aimed at investigating properties common to a wide range of astrophysical objects. The discovery of solar Rossby waves by experimental methods initiated the development of models describing large-scale magnetohydrodynamic flows of rotating plasma [27,28,29,30]. In this review we consider four different approaches to variable density flows: two-layer shallow water approximation, Boussinesq approximation, anelastic approximation, shallow water approximation with large-scale compressibility
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