  We study the evolution of disk galaxies within the frame of the cold dark
matter (CDM) cosmologies. The hydrodynamics of a centrifugally supported
gaseous disk and the growth of a stellar disk are calculated in detail taking
into account the energy balance of the ISM and the gravitational instabilities
that concern gas and stars. The halo density profile is derived from the
primordial cosmological conditions and its gravitational contraction produced
by the disk is included. Several features of the spiral galaxies at different
redshifts are predicted, and the main factors which influence on these features
are found. A strong evidence is provided that the Tully-Fisher relation is an
imprint of the primordial cosmological conditions.
