No unique solution to the seismological problem of standing kink MHD waves
arXiv:1812.07266 · doi:10.1051/0004-6361/201833813
Abstract
The aim of this paper is to point out that the classic seismological problem using observations and theoretical expressions for the periods and damping times of transverse standing magnetohydrodynamic (MHD) waves in coronal loops is better referred to as a reduced seismological problem. Reduced emphasises the fact that only a small number of characteristic quantities of the equilibrium profiles can be determined. Reduced also implies that there is no unique solution to the full seismological problem. Even the reduced seismological problem does not allow a unique solution. Bayesian inference results support our mathematical arguments and offer insight into the relationship between the algebraic and the probabilistic inversions.
10 pages, accepted in A&A
References in corpus (4)
Cited by in corpus (13)
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- Kink Oscillations in Solar Coronal Loops with Elliptical Cross-Sections. I. the linear regime
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- Resonant Damping of Kink Modes in Solar Coronal Slabs
- Bayesian evidence for a nonlinear damping model for coronal loop oscillations
- Standing Sausage Perturbations in solar coronal loops with diffuse boundaries: An initial-value-problem perspective
- Mixed properties of magnetohydrodynamic waves undergoing resonant absorption in the cusp continuum
- Global Coronal Magnetic Field Estimation Using Bayesian Inference