On the asymptotic behavior of the solution of the second boundary value problem for a quasilinear parabolic system of chemical kinetics

The question of the stabilization of the solution of the second boundary value problem for a quasilinear parabolic system as the time increases without bound is studied.
A theorem is proved on the stabilization of the components $u_i(t,x)$ to constants as $t\to\infty$ which are uniquely determined by the initial conditions and the functions $F_i$, and an exponential estimate for the rate of stabilization is also obtained.
Bibliography: 5 titles.