On travelling waves in a suspension bridge model as the wave speed goes to zero (Q544164)
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scientific article; zbMATH DE number 5907674
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On travelling waves in a suspension bridge model as the wave speed goes to zero |
scientific article; zbMATH DE number 5907674 |
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On travelling waves in a suspension bridge model as the wave speed goes to zero (English)
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14 June 2011
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The authors are concerned with finding homoclinic solutions to the equation \[ y'''+ c^2 y''+ (1+ y)^+- 1= 0,\tag{\(*\)} \] which are related to travelling wave solutions with speed \(c\) to \(u_{tt}+ u_{xxxx}+ u^+= 1\). They prove that as \(c\to 0\), all solutions of \((*)\) tend to \(+\infty\) in the \(L^\infty\)-norm.
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nonlinear beam
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suspension bridgesep
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travelling waves
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0.87798417
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0.85723794
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0.84030235
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0.8340328
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0.8314582
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0.8242351
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0.82058793
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