  I construct a simple model of the convective burning layer during a type I
X-ray burst to investigate the effects convection has on the stability of the
layer to nonradial oscillations. A linear perturbation analysis demonstrates
that the region is stable to nonradial oscillations when energy transport is
convection-dominated, but it is unstable when energy transport is
radiation-dominated. Thus, efficient convection always dampens oscillations.
These results may explain the nondetection of oscillations during the peak of
some X-ray bursts.
