  In this paper, we study the indirect boundary stabilization of a Bresse
system with only two dissipation laws. This system, which models the dynamics
of a beam, is a hyperbolic system with three wave speeds. We study the
asymptotic behaviour of the eigenvalues and of the eigenvectors of the
underlying operator in the case of three distinct wave velocities which is not
physically relevant. Since the imaginary axis is proved to be an asymptote for
one family of eigenvalues, the stability can not be exponential. Of course,
this paper is only interesting from a mathematical point of view.
