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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 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.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 38: Nonlinear Pulsations and Hydrodynamics of Cepheids , 2009 , pp. 25 - 32
Copyright
© EAS, EDP Sciences, 2009

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References

Bender, C.M., Boettcher, S., Jones, H.F., & Savage, V.M., 1999, J. Phys. A - Math., 32, 6771 CrossRef
Bender, C.M., Boettcher, S., & Meisinger, P.N., 1999, J. Math. Phys., 40, 2201 CrossRef
Buchler, J.R., Yecko, P., & Kollath, Z., 1997, A&A, 326, 669
Chagelishvili, G.D., Rogava, A.D., & Tsiklauri, D.G., 1996, PRE, 55, 6028 CrossRef
Cossu, C., & Chomaz, J.-M., 1997, PRL 78, 4387
Davies, E.B., 2002, Bull. London Math. Soc., 34, 513 CrossRef
Davies, E.B., 1999, Proc. R. Soc. Lond. A, 455, 585 CrossRef
Domokos, G., & Holmes, P., 2003, Proc. R. Soc. Lond. A, 459, 1535 CrossRef
Forbes, B.J., Pike, R.E., & Sharp, D.B., 2003, J. Acoust. Soc. Am., 114, 1291 CrossRef
Trefethen, L.N., 2005, Proc. R. Soc. A, 461, 3099 CrossRef
Trefethen, L.N., & Embree, M., 2005, Spectra and Pseudospectra (Princeton)
Wright, T.G., 2002, EigTool software, http://www.comlab.ox.ac.uk/pseudospectra/eigtool