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Non-Normal Pulsation

Published online by Cambridge University Press:  15 August 2009

M. Goupil ,
Z. Kolláth ,
N. Nardetto ,
P. Kervella ,
P. Yecko  and
J. Pohlmeyer
P. Yecko
Affiliation:
Department of Mathematical Sciences, Montclair State University, Montclair, NJ, USA
J. Pohlmeyer
Affiliation:
Department of Mathematical Sciences, Montclair State University, Montclair, NJ, USA
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Abstract

Klein-Gordon operators with complex potentials are formulated as model systemsto examine the possible impact of non-normality on the stellar pulsation eigenvalueproblem. Computations of spectra, ε-pseudospectra and resolvent normsfor these operatorsshow that extended regions of complex potential, corresponding in stars to non-adiabaticregions, leads to strong non-normality. Introduction of an advective term furtherincreases non-normal properties. Prospective model improvements andimplications for resonances and for nonlinear pulsation are considered.

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