MODELLING OF SOLAR CORONAL OSCILLATIONS

Abstract

Oscillations on coronal loops is one of main objects of the study in the coronal seismology, they are observed usually in various electromagnetic emission. Its properties are studied well as modes of a uniform magnetic tube in the linear magnetohydrodynamics approximation. Now we study the kink-mode of nonuniform coronal loops that consists of a cylindrical core with axial magnetic field and coaxial annulus with purely azimuthal magnetic field. One can expect that the formation of such magnetic flux tubes consisting of two parts is a natural result of the evolution of twisted magnetic tubes transported in the solar atmosphere from the convection zone. New wave solutions are presented in the annulus that have singularity in a nonzero point. A solution of the dispersion equation for kink-mode shows undamping free kink oscillations.