Normal modes and continuous spectra

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Description

The authors consider stability problems arising in fluids, plasmas and stellar systems that contain singularities resulting from wave-mean flow or wave-particle resonances. Such resonances lead to singularities in the differential equations determining the normal modes at the so-called critical points or layers. The locations of the singularities are determined by the eigenvalue of the problem, and as a result, the spectrum of eigenvalues forms a continuum. They outline a method to construct the singular eigenfunctions comprising the continuum for a variety of problems.

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26 p.

Creation Information

Balmforth, N.J. & Morrison, P.J. December 1, 1994.

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Description

The authors consider stability problems arising in fluids, plasmas and stellar systems that contain singularities resulting from wave-mean flow or wave-particle resonances. Such resonances lead to singularities in the differential equations determining the normal modes at the so-called critical points or layers. The locations of the singularities are determined by the eigenvalue of the problem, and as a result, the spectrum of eigenvalues forms a continuum. They outline a method to construct the singular eigenfunctions comprising the continuum for a variety of problems.

Physical Description

26 p.

Notes

INIS; OSTI as DE95006166

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  • Other Information: PBD: Dec 1994

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  • Other: DE95006166
  • Report No.: DOE/ET/53088--686
  • Report No.: IFSR--686
  • Grant Number: FG05-80ET53088
  • DOI: 10.2172/29346 | External Link
  • Office of Scientific & Technical Information Report Number: 29346
  • Archival Resource Key: ark:/67531/metadc687548

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  • December 1, 1994

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • Aug. 10, 2016, 2:14 p.m.

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Balmforth, N.J. & Morrison, P.J. Normal modes and continuous spectra, report, December 1, 1994; Austin, Texas. (digital.library.unt.edu/ark:/67531/metadc687548/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.