  The main concern of this paper is to mathematically investigate the formation
of a plasma sheath near the surface of nonplanar walls. We study the existence
and asymptotic stability of stationary solutions for the nonisentropic
Euler-Poisson equations in a domain of which boundary is drawn by a graph, by
employing a space weighted energy method. Moreover, the convergence rate of the
solution toward the stationary solution is obtained, provided that the initial
perturbation belongs to the weighted Sobolev space. Because the domain is the
perturbed half space, we first show the time-global solvability of the
nonisentropic Euler-Poisson equations, then construct stationary solutions by
using the time-global solutions.
