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The stability of solutions in an initial-boundary reaction-diffusion system
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 46 , Issue 3 , December 1992 , pp. 441 - 448
- Copyright
- Copyright © Australian Mathematical Society 1992