Evolutionary Conditions in the Dissipative MHD System Revisited

Astronomy and Astrophysics – Astrophysics

Scientific paper

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13 pages, 4 figures, accepted for publication in Prog. Theor. Phys

Scientific paper

10.1143/PTP.118.47

The evolutionary conditions for the dissipative continuous magnetohydrodynamic (MHD) shocks are studied. We modify Hada's approach in the stability analysis of the MHD shock waves. The matching conditions between perturbed shock structure and asymptotic wave modes shows that all types of the MHD shocks, including the intermediate shocks, are evolutionary and perturbed solutions are uniquely defined. We also adopt our formalism to the MHD shocks in the system with resistivity without viscosity, which is often used in numerical simulation, and show that all types of shocks that are found in the system satisfy the evolutionary condition and perturbed solutions are uniquely defined. These results suggest that the intermediate shocks may appear in reality.

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