Published May 13, 2005
| Version v1
Journal article
Local algebraic instability of shear-flows in the Rayleigh equation
Description
Because of its non-Hermitian property, the stability analysis of a shear-flow system is rather complex. While the Kelvin-Helmholtz instability, being a spatially global and temporally exponential mode, can be detected by a standard analysis of eigenvalues, there may exist a variety of different instabilities. Invoking time asymptotic analysis, the existence of spatially localized and temporally algebraic instability in non-monotonic shear-flows with multiple stationary points is shown
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/4293/a5_19_017.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/4293/a5_19_017.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/19/017;
- PII
- S0305-4470(05)92502-X;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 19
- Journal Page Range
- p. 4293-4307
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36096096
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EIGENVALUES; EQUATIONS; HELMHOLTZ INSTABILITY; RAYLEIGH SCATTERING; SHEAR; STABILITY
- Descriptors DEC
- COHERENT SCATTERING; INSTABILITY; PLASMA INSTABILITY; PLASMA MACROINSTABILITIES; SCATTERING