  The main purpose of this manuscript is to analyze an intracranic fluid model
from a mathematical point of view. By means of an iterative process we are able
to prove the existence and uniqueness of a local solution and the existence and
uniqueness of a global solution under some restriction conditions on the
initial data. Moreover the last part of the paper is devoted to present
numerical simulations for the analyzed cerebrospinal model. In particular, in
order to assess the reliability of the stated theoretical results, we carry out
the numerical simulations in two different cases: first, we fix initial data
which satisfy the conditions for the global existence of solution then, we
choose initial data that violate them.
