  The last decade lead to major progress in asteroseismology and stellar
physics with the advent of space missions. Thanks to the richness and precision
of current oscillation spectra, sophisticated seismic probing techniques allow
us now to pinpoint the limits of our current models of stellar structure and
evolution. However, the accuracy of the seismic diagnosis depends on the
accuracy of the pulsation models. In solar-like oscillations, the main source
of inaccuracy comes from the near-surface layers where the oscillations are
non-adiabatic and strongly coupled with turbulent convection. Some pulsating
stars rotate fast and this must be accurately taken into account in the
modeling of their pulsations. In others, the magnetic field or the dynamic
tides could play some role. I propose here an overview of the great
achievements and current limitation of asteroseismology.
