The stability of solutions in an initial-boundary reaction-diffusion system
Elías Tuma, C. Miguel Blázquez · Bulletin of the Australian Mathematical Society · 1992
We study the asymptotic behaviour as t → ∞ of solutions of the initial-boundary value problem vt = G(u, v), ut = uxx + F(u, v), and t > 0, x ∈ ℝ or x ∈ ℝ+ for a wide class of initial and boundary values, where F and G are smooth functions so that the system has three rest points.