Title

The Initial-Value Problem For The Kelvin-Helmholtz Instabilities Of High-Velocity Magnetized Shear Layers With Generalized Polytrope Laws

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.

Publication Date

1-1-2002

Publication Title

Quarterly of Applied Mathematics

Volume

60

Issue

4

Number of Pages

657-673

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/qam/1939005

Socpus ID

0036902228 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0036902228

This document is currently not available here.

Share

COinS