Title

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

Authors

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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