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Moving loads on ice road: a universal bifurcation mechanism arising from progressive hydroelastic waves

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SIPW05 - SIP Follow on: Mathematics of sea ice in the twenty-first century

The problem of forced unsteady water waves under an elastic sheet is a model for waves under ice or under very large floating structures. Even though small-amplitude solitary waves are not predicted to exist in deep water by standard perturbation analyses, we find large-amplitude solitary waves and explore their crucial role in the forced problem of a moving load on the elastic cover. We describe the reason for this peculiar wave phenomenon based on the combination of modeling, numerical simulation, and multi-scale analysis. Specifically, the abnormality originates from a novel bifurcation mechanism of progressive hydroelastic waves. We show that this bifurcation is universal to some extent in interfacial wave systems and can be well described by a Whitham-type model with high-order nonlinearities.

This talk is part of the Isaac Newton Institute Seminar Series series.

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