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Erschienen in:
2002 | OriginalPaper | Buchkapitel
Inertial Manifolds: The Reduction Principle
verfasst von : George R. Sell, Yuncheng You
Erschienen in: Dynamics of Evolutionary Equations
Verlag: Springer New York
Enthalten in: Professional Book Archive
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In the previous chapters, we have seen several illustrations of finite dimensional structures within the infinite dimensional dynamical systems. For example, many dissipative systems have global attractors, and oftentimes, the attractor A has finite Hausdorff and fractal dimensions. During the last few years it has been shown that some infinite dimensional nonlinear dissipative evolutionary equations have inertial manifolds. We will give the definition shortly.