Variational existence and stability theory for hydroelastic solitary waves ...
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 hyperel...
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| Format: | Article in Journal/Newspaper |
| Language: | English |
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Banff International Research Station for Mathematical Innovation and Discovery
2017
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| Online Access: | https://dx.doi.org/10.14288/1.0347323 https://doi.library.ubc.ca/10.14288/1.0347323 |
| Summary: | 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 case of capillary-gravity waves. This is joint work with Mark Groves and Benedikt Hewer. ... |
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