Bifurcation of the velocities of the propagation of coronal shock waves

Mathematics

Scientific paper

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Branching (Mathematics), Magnetohydrodynamic Waves, Shock Wave Propagation, Solar Corona, Ionospheric Disturbances, Magnetic Storms, Solar Flares, Solar Prominences

Scientific paper

On the basis of an MHD model of noncollisional shock waves, it can be demonstrated that under anisotropic pressure and slow change of some physical parameters (quasi-stationary case) at the so-called bifurcation points, propagation of shock waves is not single-valued. At these points, the criterion of 'evolution' of shock waves is not valid, and it is impossible to remove this ambiguity by any 'ad hoc' condition in the considered interval of values of Alfven-Mach numbers and coefficients of anisotropy of pressure. Bifurcations of the velocity of propagation make it possible to interpret the mechanism of the experimentally ascertained sudden decelerations of shock waves in a new manner.

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