Geometrodynamics of non-relativistic continuous media, II.

An intrinsic formulation of Continuum Mechanics on the affine Galielan space-time $ M$ is given, emphasizing the role of the dynamic equation as a geometric structure. In particular, a continuous body is described as a geometric structure on $ M$. Thus, the study of symnmetry properties of this structure allows us to give useful classifications of continuous bodies and to state generalized forms of Noether's theorem. These considerations are applied to incompressible fluids. Existence and uniqueness theorems for regular solutions are obtained.