  This paper is devoted to the Cauchy problem for the modified multi-component
Camassa-Holm system in higher dimensions. On the one hand, we establish an
almost complete local well-posedness results for the system in the framework of
Besov spaces. On the other hand, several blow-up criteria of strong solutions
to the system are derived by using the Littlewood-Paley decomposition and the
energy method.
