We present several recent and novel results on the formulation
and the analysis of the equations governing the evolution of
electromagnetic fields in chiral media in the time domain. In
particular, we present results concerning the well-posedness and
the solvability of the problem for linear, time-dependent, and
nonlocal media, and results concerning the validity of the local
approximation of the nonlocal medium (optical response
approximation). The paper concludes with the study of a class of
nonlinear chiral media exhibiting Kerr-like nonlinearities, for
which the existence of bright and dark solitary waves is shown.