Rossby waves are a pervasive feature of the large-scale motions of the Earth's atmosphere
and oceans. These waves (also known as planetary waves and r-modes) also play an …

The influence of a toroidal magnetic field on the dynamics of shallow water waves in the
solar tachocline is studied. A sub-adiabatic temperature gradient in the upper overshoot …

We develop a new second-order flux globalization based path-conservative central-upwind
(PCCU) scheme for rotating shallow water magnetohydrodynamic equations. The new …

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 …

We investigate quasi-geostrophic waves in a rotating spherical shell permeated by an
imposed magnetic field B¯. A projection of the momentum equation onto a well chosen class …

The Schwabe cycle of solar activity exhibits modulations and frequency fluctuations on slow
timescales of centuries and millennia. Plausible physical explanations for the cause of these …

The purpose of plasma astrophysics is the study and description of the flow of rotating
plasma in order to understand the evolution of various objects in the universe, from stars and …

Theoretical studies of wave processes in rotating astrophysical plasma are discussed, with a
particular emphasis on new theoretical models of astrophysical plasma such as the …

We have studied rotating magnetohydrodynamic flows of a thin layer of astrophysical
plasma with a free boundary in the β-plane. Nonlinear interactions of the Rossby waves …

This article deals with magnetohydrodynamic (MHD) flows of a thin rotating layer of
astrophysical plasma in external magnetic field. We use the shallow water approximation to …