On the global dynamics of a controlled viscous Burgers' equation (Q1972782)
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scientific article; zbMATH DE number 1431870
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the global dynamics of a controlled viscous Burgers' equation |
scientific article; zbMATH DE number 1431870 |
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On the global dynamics of a controlled viscous Burgers' equation (English)
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13 April 2000
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A boundary control problem for a forced Burgers' equation in a Hilbert state space, consisting of square integrable functions on a finite interval, is under consideration. The global in time existence of solution is proved under natural assumptions. Some results concerning the existence and properties of local attractors are obtained.
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center manifold theorem
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stability
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local attractors
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boundary control problem for a forced Burgers' equation
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