The initial-value problem for the Kelvin-Helmholtz instabilities of high-velocity magnetized shear layers with generalized polytrope laws

    Authors

    K. G. Brown;S. R. Choudhury

    Comments

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    Abbreviated Journal Title

    Q. Appl. Math.

    Keywords

    INVISCID COMPRESSIBLE FLUID; MAGNETOSPHERE; MAGNETOPAUSE; MECHANISM; PLASMAS; GROWTH; Mathematics, Applied

    Abstract

    The general initial-value problem for the linear Kelvin-Helmholtz instability of arbitrarily compressible magnetized anisotropic velocity shear layers is considered. The time evolution of the physical quantities characterizing the layer is treated using Laplace transform techniques. Singularity analysis of the resulting equations using Fuchs-Frobenius theory yields the large-time asymptotic solutions. Since all the singular points turned out to be real, the instability is found to remain, within the linear theory, of the translationally convective shear type. No onset of rotational or vortex motion, i.e., formation of "coherent structures" occurs because there are no imaginary singularities.

    Journal Title

    Quarterly of Applied Mathematics

    Volume

    60

    Issue/Number

    4

    Publication Date

    1-1-2002

    Document Type

    Article

    Language

    English

    First Page

    657

    Last Page

    673

    WOS Identifier

    WOS:000179328600003

    ISSN

    0033-569X

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