A lower bound for the amplitude of traveling waves of suspension bridges (Q435106)
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scientific article; zbMATH DE number 6057303
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A lower bound for the amplitude of traveling waves of suspension bridges |
scientific article; zbMATH DE number 6057303 |
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A lower bound for the amplitude of traveling waves of suspension bridges (English)
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16 July 2012
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traveling waves
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homoclinic solutions
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suspension Bridge models
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0.87798417
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0.86099243
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0.8592169
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0.8507364
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0.8494176
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0.8466013
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0.8461771
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0.8439263
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The authors study the McKenna-Walter suspension bridge model NEWLINE\[NEWLINEu_{tt}+u_{xxxx}+f(u)=0. \tag{1}NEWLINE\]NEWLINE Under suitable conditions on the term \(f\), they obtain a lower bound for the amplitude of nonzero homoclinic traveling wave solutions of \((1)\). As a consequence of this lower bound, they prove that all nonzero homoclinic traveling waves become unbounded as their speed of propagation goes to zero.
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