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

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    Abstract

    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 a superposition of outgoing wave 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.

    Original languageEnglish
    Pages (from-to)2275-2278
    Number of pages4
    JournalGeophysical Research Letters
    Volume21
    Issue number21
    DOIs
    Publication statusPublished - Jan 1 1994

    All Science Journal Classification (ASJC) codes

    • Geophysics
    • Earth and Planetary Sciences(all)

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