## Detalles de publicación

PP 018122

## No unique solution to the seismological problem of standing kink MHD waves

(1) Instituto de Astrofisica de Canarias, E-38205, La Laguna, Tenerife, Spain
(2) Departamento de Astrofisica, Universidad de La Laguna, E-38206, La Laguna, Tenerife, Spain
(3) Centre for mathematical Plasma Astrophysics, Department of Mathematics, KU Leuven Celestijnenlaan 200B bus 2400, B-3001 Leuven, Belgium

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 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.