  We study the hyperbolic version of the Prandtl system derived from the
hyperbolic Navier-Stokes system with no-slip boundary condition. Compared to
the classical Prandtl system, the quasi-linear terms in the hyperbolic Prandtl
equation leads to an additional instability mechanism. To overcome the loss of
derivatives in all directions in the quasi-linear term, we introduce a new
auxiliary function for the well-posedness of the system in an anisotropic
Gevrey space which is Gevrey class $\frac 32$ in the tangential variable and is
analytic in the normal variable.
