In this work, we are interested in a detailed qualitative analysis of the
Kawahara equation, a model that has numerous physical motivations such as
magneto-acoustic waves in a cold plasma and gravity waves on the surface of a
heavy liquid. First, we design a feedback law, which combines a damping control
and a finite memory term. Then, it is shown that the energy associated with
this system exponentially decays.Comment: 20 pages. Comments are welcom