  In this paper, we consider the local well-posedness of the Prandtl boundary
layer equations that describe the behavior of boundary layer in the small
viscosity limit of the compressible isentropic Navier-Stokes equations with
non-slip boundary condition. Under the strictly monotonic assumption on the
tangential velocity in the normal variable, we apply the
Nash-Moser-H\"{o}rmander iteration scheme and further develop the energy method
introduced in [1] to obtain the well-posedness of the equations locally in
time.
