Mathematics
Scientific paper
Mar 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990baicz..41...82v&link_type=abstract
Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 41, no. 2, March 1990, p. 82-87.
Mathematics
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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