Hyperbolic relaxation of a fourth order evolution equation (Q369897)
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scientific article; zbMATH DE number 6209271
| Language | Label | Description | Also known as |
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| English | Hyperbolic relaxation of a fourth order evolution equation |
scientific article; zbMATH DE number 6209271 |
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Hyperbolic relaxation of a fourth order evolution equation (English)
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19 September 2013
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Summary: We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term \(\eta u_{tt}\), where \(\eta \in (0, 1]\). We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in \(H^4(I) \times \{H^2(I) \cap H^1_0(I)\}\).
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one space dimension
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absorbing sets
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