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Reduced shock relations in magnetohydrodynamics

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Abstract

Three of the well-known ‘jump conditions’ across hydromagnetic shock waves are reduced to identities for density, vector velocity and scalar speed in terms of the vector magnetic field. Scalar pressure and ion and electron temperature are not made use of. For thermal equilibrium plasmas, these relations may be useful even when no information as to thermal state or degrees of freedom is available. In addition the reduced shock relations may be valid in many non-equilibrium situations. Plasma and field measurements necessary for validating these relations are gradually becoming routine in both laboratory and space experiments.

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Authors and Affiliations

  1. Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, Md., U.S.A.

    T. D. Wilkerson

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  1. T. D. Wilkerson
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Research supported in part by NASA Grant NsG-283, Office of Space Science and Applications.

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Wilkerson, T.D. Reduced shock relations in magnetohydrodynamics. Sol Phys 6, 44–48 (1969). https://doi.org/10.1007/BF00146793

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  • DOI: https://doi.org/10.1007/BF00146793

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