A lower bound for the amplitude of traveling waves of suspension bridges
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🧮 math.AP
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boundlowertravelingamplitudehomoclinicnonzerosuspensionwaves
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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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