Remarks on third-order ODEs relevant to the Kuramoto-Sivashinsky equation (Q1604510)
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scientific article; zbMATH DE number 1763738
| Language | Label | Description | Also known as |
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| English | Remarks on third-order ODEs relevant to the Kuramoto-Sivashinsky equation |
scientific article; zbMATH DE number 1763738 |
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Remarks on third-order ODEs relevant to the Kuramoto-Sivashinsky equation (English)
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4 July 2002
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The author considers third-order ordinary differential equations (ODEs) which are related to the Kuramoto-Sivashinsky equation. He shows that there exist solutions which blow up on bounded intervals. He exhibits the nonexistence of nontrivial bounded entire solutions for certain class of these ODEs.
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Kuramoto-Shivashinsky equation
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solutions
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