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Study of the oscillations of coronal loops are of
fundamental importance in heating of the solar corona as a result
of the damping of MHD waves. In this respect a magnetized flux
tube with a specified density profile is considered and the ideal
equation of motion in coronal approximation is obtained. By
introducing the viscous and resistive damping in the tube, the
singularity of the equation of motion is removed and the solutions
are obtained by applying the connection formula technique. The
jumps relations in the non-uniform boundary layer are obtained
using appropriate boundary conditions. Eigenfrequencies and
eigenfields (i.e. the magnetic and velocity fields of the modes)
are calculated. The damping rates are obtained and are commented
on.
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