Evolutionary conditions in the dissipative MHD system: Stability of intermediate MHD shock waves

Details Evolutionary conditions in the dissipative MHD system: Stability of intermediate MHD shock waves Evolutionary conditions in the dissipative MHD system: Stability of intermediate MHD shock waves

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994georl..21.2275h&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 21, no. 21, p. 2275-2278

Physics

15

Magnetohydrodynamic Stability, Magnetohydrodynamic Waves, Shock Waves, Wave Dispersion, Wave Propagation, Flow Distribution, Navier-Stokes Equation, Wave Equations

Scientific paper

The evolutionary conditions in the dissipative magnetohydrodynamic (MHD) system are discussed, and the results are applied to argue stability of MHD intermediate shock waves. When dissipative wave modes are included, arbitrary perturbations given to the shock can be expressed as superposition of outgoing modes from the shock: thus, intermediate shocks are evolutionary in dissipative MHD. The matching conditions of incoming and outgoing wave modes at the shock give an under-determined set of equations, which defines a unique solution when the minimum dissipation principle is imposed.

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