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The stability of solutions in an initial-boundary reaction-diffusion system

Published online by Cambridge University Press:  17 April 2009

E. Tuma  and
C.M. Blázquez
E. Tuma
Affiliation:
Department of Mathematics, Santa Maria University, PO Box 110-V Valparaiso, Chile
C.M. Blázquez
Affiliation:
Department of Mathematics, Santa Maria University, PO Box 110-V Valparaiso, Chile
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Abstract

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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

References

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