Variational existence and stability theory for hydroelastic solitary waves

47 mins 32 secs,  692.50 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.94 Mbits/sec
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Description: Groves, M
Thursday 5th October 2017 - 09:45 to 10:30
 
Created: 2017-10-06 09:01
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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