Stability of magneto-acoustic waves in a thermally conducting compressible fluid

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Conducting Fluids, Gravitational Effects, Inviscid Flow, Magnetoacoustic Waves, Stratification, Thermal Diffusion, Isotherms, Magnetic Field Configurations, Stellar Atmospheres, Stellar Models

Scientific paper

The stability of magneto-acoustic waves in an inviscid, perfectly conducting isothermal fluid, stratified under constant gravity and subjected to a horizontal magnetic field is investigated, where mathematically tractable equations are provided. Both an isothermal atmosphere and a polytropic fluid are considered in the presence of thermal dissipation, with the magnetic field having pressure proportional to the gas pressure. It is found that, for both cases, the fluid can be convectively unstable for all values of gamma (the ratio of specific heats) and GB in the case of waves with small wave number or waves travelling in a direction nearly perpendicular to the magnetic field. The oscillatory modes, however, are overstable when the temperature gradient is superadiabatic.

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