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Reduction of dimension of approximate intertial manifolds by symmetry
Published online by Cambridge University Press: 17 April 2009
Extract
In this paper, we study approximate inertial manifolds for nonlinear evolution partial differential equations which possess symmetry. The relationship between symmetry and dimensions of approximate inertial manifolds is established. We demonstrate that symmetry can reduce the dimensions of an approximate inertial manifold. Applications for concrete evolution equations are given.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 60 , Issue 2 , October 1999 , pp. 319 - 330
- Copyright
- Copyright © Australian Mathematical Society 1999