Paradoxical properties of attractors of wave equations in plane domains (Q1420661)
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scientific article; zbMATH DE number 2035994
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Paradoxical properties of attractors of wave equations in plane domains |
scientific article; zbMATH DE number 2035994 |
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Paradoxical properties of attractors of wave equations in plane domains (English)
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2 February 2004
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The Galerkin approximation is applied to study essential changes of dynamic properties of wave equations in transition from one spatial variable to two variables. Besides, unusual properties of attractors of wave equations with two variables are analyzed. In \(L_2\) metrics the attractor is bounded and this attractor is not bounded in energy metrics.
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wave equations
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attractors
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Galerkin method
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eigenvalues
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Laplace operator
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