Hostname: page-component-848d4c4894-r5zm4 Total loading time: 0 Render date: 2024-06-30T07:34:43.584Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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