A lower bound for the amplitude of traveling waves of suspension bridges |
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Authors: | Paschalis Karageorgis John Stalker |
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Affiliation: | School of Mathematics, Trinity College, Dublin 2, Ireland |
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Abstract: | We obtain a lower bound for the amplitude of nonzero homoclinic traveling wave solutions of the McKenna–Walter suspension bridge model. As a consequence of our lower bound, all nonzero homoclinic traveling waves become unbounded as their speed of propagation goes to zero (in accordance with numerical observations). |
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Keywords: | Traveling waves Homoclinic solutions Suspension bridge models |
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