The Initial-Value Problem For The Kelvin-Helmholtz Instabilities Of High-Velocity And Magnetized Shear Layers

    Authors

    S. R. Choudhury

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Q. Appl. Math.

    Keywords

    compressible Kelvin-Helmholtz instability; initial-value problem; time-asymptotics; INVISCID COMPRESSIBLE FLUID; MAGNETOSPHERE; MAGNETOPAUSE; MECHANISM; PLASMA; GROWTH; Mathematics, Applied

    Abstract

    The general initial-value problem for the Linear Kelvin-Helmholtz instability of arbitrarily compressible velocity shear layers is considered for both the unmagnetized and magnetized cases. 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. The instability is found to remain, within the linear theory, of the translationally convective or shear type. No onset of rotational or vortex motion, i.e., formation of ''coherent structures'' occurs.

    Journal Title

    Quarterly of Applied Mathematics

    Volume

    54

    Issue/Number

    4

    Publication Date

    1-1-1996

    Document Type

    Article

    Language

    English

    First Page

    637

    Last Page

    662

    WOS Identifier

    WOS:A1996VU33600004

    ISSN

    0033-569X

    Share

    COinS