Self-similar flows behind shock wave with increasing energy in magnetogasdynamics. I

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Magnetohydrodynamic Flow, Shock Waves, Solar Wind, Adiabatic Flow, Isothermal Flow, Similarity Theorem

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A self-similar blast wave model is investigated which consists of a strong spherical shock wave that is driven outward by a propelling contact surface, moving into a quiet solar wind region with varying density distribution in the presence of an azimuthal magnetic field for adiabatic and isothermal flows. The total energy of the flow increases with time, and the solutions correspond to a blast wave produced by intense and prolonged solar flare activity when the wave has been driven by freshly erupting solar plasma. The total energy of the flow between the shock and the contact surface is taken to be time-dependent and obedient to a power law.

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