An inertial manifold and the principle of spatial averaging (Q1607743)
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scientific article; zbMATH DE number 1780268
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An inertial manifold and the principle of spatial averaging |
scientific article; zbMATH DE number 1780268 |
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An inertial manifold and the principle of spatial averaging (English)
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13 August 2002
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Using the principle of spatial averaging, the author examines the existence of inertial manifolds for scalar-valued reaction-diffusion equations in a particular triangular domain \(\Omega_2\) in \(\mathbb{R}^2\) and in a domain \(\Omega_3\) in \(\mathbb{R}^3\), which is the Cartesian product of \(\Omega_2\) with an interval.
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inertial manifold
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principle spatial averaging
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reaction-diffusion equation
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