Abstract
A mathematical model is proposed for the process of compression of a magnetic field by a strong ionizing shock wave in a single crystal when a compressible electroconducting medium is formed behind the shock. The detailed physical pattern of the process is obtained numerically. It is shown that in the final stage different magnetic field compression regimes are possible: cumulation on the axis, an oscillatory regime in which the magnetic field and gas dynamic quantities change sharply, and a quasi-steady regime with smooth slow variation of all the parameters. In previous studies the possibility of this regime was not noted. For the dimensionless parameters characterizing the process of compression of the magnetic field as a whole domains corresponding to different compression regimes are obtained.
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