  We briefly recall the physical background of the transport of angular
momentum and the mixing of chemicals inside stellar radiation zones and its
importance for stellar evolution. Then, we describe its present modeling, its
successes and its weaknesses. Next, we introduce the new theoretical
developments that allow us to treat in a self-consistent way the effect of the
Coriolis force on the low-frequencies internal waves and its consequences for
the transport processes. This research is aimed at improving the modeling of
stellar interiors in the perspective of future astero and helioseismology
missions such as COROT and GOLF-NG.
