EAS Publications Series
Volume 38, 2009Nonlinear Pulsations and Hydrodynamics of Cepheids
|Page(s)||25 - 32|
|Published online||15 August 2009|
M. Goupil, Z. Kolláth, N. Nardetto and P. Kervella (eds)
EAS Publications Series, 38 (2009) 25-32
Department of Mathematical Sciences, Montclair State University, Montclair, NJ, USA
Klein-Gordon operators with complex potentials are formulated as model systems to examine the possible impact of non-normality on the stellar pulsation eigenvalue problem. Computations of spectra, ε-pseudospectra and resolvent norms for these operators show that extended regions of complex potential, corresponding in stars to non-adiabatic regions, leads to strong non-normality. Introduction of an advective term further increases non-normal properties. Prospective model improvements and implications for resonances and for nonlinear pulsation are considered.
© EAS, EDP Sciences, 2009
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