A global attracting set for the Kuramoto-Sivashinsky equation (Q1803949)
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scientific article; zbMATH DE number 222068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A global attracting set for the Kuramoto-Sivashinsky equation |
scientific article; zbMATH DE number 222068 |
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A global attracting set for the Kuramoto-Sivashinsky equation (English)
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29 June 1993
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The authors give new bounds for the \(L^ 2\)-norm of the solution of the Kuramoto-Sivashinsky equation. This new bound is obtained by adapting a technique first initiated by \textit{R. Temam} [Infinite-dimensional dynamical systems in mechanics and physics (Springer, 1988; Zbl 0662.35001)]. This bound is equal to a constant multiplied by \(L^{8/5}\).
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bounds for the \(L^ 2\)-norm
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Kuramoto-Sivashinsky equation
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0.9547068
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0.94394654
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0.9375518
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0.93381196
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0.9328069
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