  In this paper we study the local wellposedness of the solution to a
non-linear parabolic-dispersive coupled system which models a
Micro-Electro-Mechanical System (MEMS). A simple electrostatically actuated
MEMS capacitor device has two parallel plates separated by a gas-filled thin
gap. The nonlinear parabolic-dispersive coupled system modelling the device
consists of a quasilinear parabolic equation for the gas pressure and a
semilinear plate equation for gap width. We show the local-in-time existence of
strict solutions for the system, by combining a local-in-time existence result
for the dispersive equation, H\"{o}lder continuous dependence of its solution
on that of the parabolic equation, and then local-in-time existence for a
resulting abstract parabolic problem. Semigroup approaches are vital for both
main parts of the problem.
