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Variational existence and stability theory for hydroelastic solitary waves

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SIPW02 - Ice-fluid interaction

I will present an existence and stability theory for solitary waves at the interface between a thin ice sheet and an ideal fluid, which is based on minimising the total energy subject to the constraint of fixed total horizontal momentum. The ice sheet is modelled using the Cosserat theory of hyperelastic shells. Since the energy functional is quadratic in the highest derivatives, stronger results are obtained than in the corresponding theory for capillary-gravity water waves. This is joint work with Benedikt Hewer and Erik Wahlén.

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

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