Geodesic
On the asymptotic behavior of the solution of the second boundary value problem for a quasilinear parabolic system of chemical kinetics
Izvestiya. Mathematics, Tome 18 (1982) no. 1, pp. 195-204 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. N. Peregudov. On the asymptotic behavior of the solution of the second boundary value problem for a quasilinear parabolic system of chemical kinetics. Izvestiya. Mathematics, Tome 18 (1982) no. 1, pp. 195-204. http://geodesic.mathdoc.fr/item/IM2_1982_18_1_a10/

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