A continuity property for the inverse of Mañé's projection (Q1978984)
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scientific article; zbMATH DE number 1450138
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A continuity property for the inverse of Mañé's projection |
scientific article; zbMATH DE number 1450138 |
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A continuity property for the inverse of Mañé's projection (English)
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22 May 2000
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The author estimates the modulus of continuity of the inverse of the Mañé's projection \((P|X)^{-1}\) provided that \(X\) is a global attractor of some dissipative evolution equation in a Hilbert space, the fractal dimension of \(X\) is finite and \(P\) is of sufficiently high finite rank. The result applies e.g. to the two-dimensional Navier-Stokes equation with Dirichlet boundary conditions.
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dissipative evolution equations
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attractors
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Mañé's projection
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fractal dimension
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Navier-Stokes equations
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