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Asymptotically stable stationary solutions to the reaction-diffusion equations

Published online by Cambridge University Press:  17 April 2009

Arnold Dikansky
Arnold Dikansky
Affiliation:
Division of Maths and Computer Science, St. John's University Staten, Island NY 10301, United States of America
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Abstract

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We assume that there exists an asymptotically stable stationary solution of a Galerkin approximation for the reaction-diffusion system. It is shown that there exists a nearby stationary solution of the full reaction-diffusion system provided the order of the Galerkin approximation is high enough. The Lyapunov second method is used to prove the asymptotic stability of the stationary solution.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 2 , April 1993 , pp. 273 - 286
Copyright
Copyright © Australian Mathematical Society 1993

References

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