Title

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

Authors

Authors

S. R. Choudhury

Comments

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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

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