An isothermal shock wave in a perfectly-conducting and non-homogeneous stellar interior

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Conducting Fluids, Isothermal Flow, Magnetohydrodynamic Waves, Shock Wave Propagation, Stellar Interiors, Stellar Structure, Thermal Shock, Energy Transfer, Equations Of Motion, Gas Explosions, Inhomogeneity, Mach Number, Stellar Magnetic Fields

Scientific paper

In the present paper, exact analytic self-similar solutions are obtained for a zero-temperature gradient behind a magnetogasdynamic shock wave produced by stellar explosions. The initial density of the medium is taken to vary as some power of the distance from the point of explosion. The solutions are obtained for the cases when the energy of the shocked gas is constant, the energy is varying, and the shock velocity is constant. General solutions are also obtained. The position of the singular surface behind the shock wave is obtained analytically.

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