Title

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

Keywords

Compressible Kelvin-Helmholtz instability; Initial-value problem; Time-asymptotics

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.

Publication Date

1-1-1996

Publication Title

Quarterly of Applied Mathematics

Volume

54

Issue

4

Number of Pages

637-662

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/qam/1417229

Socpus ID

0030430484 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0030430484

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