Normal modes and continuous spectra
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.
- Research Organization:
- Texas Univ., Austin, TX (United States). Inst. for Fusion Studies
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG05-80ET53088
- OSTI ID:
- 29346
- Report Number(s):
- DOE/ET/53088--686; IFSR--686; ON: DE95006166
- Country of Publication:
- United States
- Language:
- English
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