Reduction of dimension of approximate intertial manifolds by symmetry

Publisher： Cambridge University Press

E-ISSN： 1755-1633|60|2|319-330

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.60, Iss.2, 1999-10, pp. : 319-330

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Abstract

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.

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