Abstract-
White dwarfs and neutron stars are the most common endpoints
of stellar evolution and provide extreme environments for
fluid dynamics. I will summarize recent work on the
non-radial oscillations of white dwarfs, especially those
accreting material from a nearby orbiting star. The recent
discovery of coherent oscillations from these objects allows
for new probes of the interior structure and rotation rate
within the star. Oscillations in neutron stars have not yet
been firmly detected, but the physics is so rich that I will
provide an overview of their properties and describe the
likely difficulties with detection by X-ray satellites.
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