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  • 1
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    Weakly multi-dimensional cosmic-ray-modified MHD shocks (1990)
    In:  Other Sources
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    Publication Date: 2019-07-12
    Description: The multi-dimensional structure of weak, energetic-particle-modified shocks is investigated by means of appropriate perturbation techniques. The time-dependent shock-structure equation is found to be a generalized form of the well-known one-dimensional Burgers equation, whose steady state, in the absence of cosmic rays, is shown to be related to an equation modeling steady transonic flow in several dimensions. The time-dependent (1 + 2)- and (1 + 3)-dimensional Burgers equations are integrated exactly by means of Hirota's technique for one-shock solutions. On the basis of the exact solutions, a discussion relating the various length scales associated with the shock is presented.
    Keywords: PLASMA PHYSICS
    Type: Journal of Plasma Physics (ISSN 0022-3778); 44; 91-101
    Format: text
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  • 2
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    Properties of mass-loading shocks. II - Magnetohydrodynamics (1992)
    In:  Other Sources
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    Publication Date: 2019-08-27
    Description: The one-dimensional magnetohydrodynamics of mass-loading shocks is examined. These shocks, which are distinct from MHD shocks of classical nonreacting fluid dynamics and of combustion theory and which are characterized by the addition of mass within the shock transition, are to be found at comets and, depending upon circumstances, at nonmagnetized and weakly magnetized planets such as Venus and Mars. A completely general mass-loading form of the Hugoniot equation is derived, and some of the most important differences between mass-loading and nonreacting classical MHD shocks are identified. Two new types of MHD shocks are described which have no classical MHD analogues.
    Keywords: PLASMA PHYSICS
    Type: Journal of Geophysical Research (ISSN 0148-0227); 97; A11; p. 17,051-17,074.
    Format: text
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