Normal modes and continuous spectra

Details Normal modes and continuous spectra Normal modes and continuous spectra

Dec 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994stin...9528055b&link_type=abstract

Unknown

Astronomy and Astrophysics

Astrophysics

Astrophysics, Equilibrium Flow, Plasmas (Physics), Singularity (Mathematics), Stability, Stellar Systems, Wave Propagation, Continuous Spectra, Differential Equations, Eigenvalues, Resonance

Scientific paper

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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