Variational existence and stability theory for hydroelastic solitary waves
47 mins 35 secs,
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Description: |
Groves, M
Thursday 5th October 2017 - 09:45 to 10:30 |
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Created: | 2017-10-06 09:01 |
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Collection: | Mathematics of sea ice phenomena |
Publisher: | Isaac Newton Institute |
Copyright: | Groves, M |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | 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. |
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