Evolutionarity of MHD shock waves in collisionless plasma with heat fluxes

Abstract

The evolutionarity conditions for the MHD shock waves are considered within the framework of the 8-moment approximation for collisionless plasma with heat fluxes. In the general case, evolutionarity diagrams are obtained depending on the relative magnitude of the Alfven wave velocity in front of or behind the shock wave front. The evolutionarity conditions for parallel shock waves are analyzed using previously obtained solutions for parallel MHD shock waves in collisionless plasma with heat fluxes. On the plane of dimensionless parameters characterizing plasma velocity and heat flux in front of the shock wave, the regions of evolutionarity are determined for the fast and slow shock waves propagating along the magnetic field.