Arbitrarily Accurate Approximate Inertial Manifolds of Fixed Dimension
نویسنده
چکیده
By employing an embedding result due to Mañé, and its recent strengthening due to Foias & Olson it is shown that a global attractor with finite fractal (box counting) dimension d lies within an arbitrarily small neighbourhood of a smooth graph over the space spanned by the first [[2d+1]] Fourier-Galerkin modes. The proof is, however, non-constructive.
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Approximate Inertial Manifolds for Nonlinear Parabolic Equations via Steady - State Determining Mapping Yuncheng
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