Abstract. The understanding and modelling 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 comparison of real stars to model predictions, which implies conversions from the theoretical space to the observational one, suffers from uncertainties in model atmospheres. This 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 facing when modelling stars and possible ways toward 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 composition and evolution stages.Keywords. stars: interiors, stars: evolution, stars: fundamental parameters, stars: oscillations
Stellar internal structure and evolution studies: goals and toolsMajor goals of stellar structure and evolution studies are (i) to characterize and describe the physics of matter in the extreme conditions encountered in stars, and (ii) to determine stellar properties (like age and mass) that trace the history and evolution of galaxies and constrain cosmological models. To achieve these goals, we rely on numerical stellar models based on input physics that integrate the results of recent theoretical studies, numerical simulations and laboratory experiments. The model input and output are chosen and/or validated by comparison with accurate astronomical observations. Numerical 2D and 3D hydrodynamical simulations of limited regions of stellar interiors and atmospheres are now under reach of computers. They provide valuable constraints and data for the current standard (1D) stellar models: abundances, convection, rotationally induced instabilities and mixing, magnetic fields (see Asplund 2005; Talon 2007; Zahn 2007, for reviews). In parallel, the physics of stellar plasma is studied in the laboratory with (i) fluid experiments (study of turbulence in rotating, magnetic fluids, see e.g. Richard & Zahn 1999), (ii) particle accelerators (nuclear reaction cross sections) and, (iii) the so-called high energy-density facilities (based on high power lasers or z-pinches) which aim at exploring the high temperature and high density regimes found in stars, brown dwarfs and giant planets to get information on the equation of state (EOS), opacities or thermonuclear reactions (see Remington et al. 2006).Modern ground-based and spatial telescopes equipped with high quality instrumentation are in use or under development (V...