Asymptotic behavior of solutions for the time-delayed Kuramoto-Sivashinsky equation (Q471861)
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scientific article; zbMATH DE number 6370235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of solutions for the time-delayed Kuramoto-Sivashinsky equation |
scientific article; zbMATH DE number 6370235 |
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Asymptotic behavior of solutions for the time-delayed Kuramoto-Sivashinsky equation (English)
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17 November 2014
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Summary: We investigate the asymptotic behavior of the solutions for the Kuramoto-Sivashinsky equation with a time delay. We prove the global existence of solutions and energy decay. By using the Lyapunov function method, we shall show that the solution is of exponential decay if the delay parameter \(\tau\) is sufficiently small.
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Kuramoto-Sivashinsky equation
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time-delay
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exponential decay
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Lyapunov function
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