The understanding and modeling of the structure and evolution of stars is
based on statistical physics as well as on hydrodynamics. Today, a precise
identification and proper description of the physical processes at work in
stellar interiors are still lacking (one key point being that of transport
processes) while the comparison of real stars to model predictions, which
implies conversions from the theoretical space to the observational one,
suffers from uncertainties in model atmospheres. That results in uncertainties
on the prediction of stellar properties needed for galactic studies or
cosmology (as stellar ages and masses). In the next decade, progress is
expected from the theoretical, experimental and observational sides. I
illustrate some of the problems we are faced with when modeling stars and the
possible tracks towards their solutions. I discuss how future observational
ground-based or spatial programs (in particular those dedicated to
micro-arc-second astrometry, asteroseismology and interferometry) will provide
precise determinations of the stellar parameters and contribute to a better
knowledge of stellar interiors and atmospheres in a wide range of stellar
masses, chemical compositions and evolution stages.Comment: 7 pages; to appear in the proceedings of "IAU Symposium 248 - A Giant
Step: from Milli- to Micro-arcsecond Astrometry", held in Shanghai, China,
15-19 Oct. 200