Postgraduate Seminars

Spring 2015

These seminars will take place on Thursdays at 5pm on an (almost) weekly basis in Room 1.20 in Malet Place Engineering Building.See the link to the map for Malet PLace Engineering for further details. Talks are being given by 2nd and 3rd year Mathematics PhD students for PhD students. They are generally followed by tea and biscuits in the Mathematics Department Staff Room (Room 606, 25 Gordon Street) - see how to find us for further details.

22nd January 2015

Tao Gao

Title: Two-dimensional flexural-gravity solitary waves and their dynamics

Abstract:
The numerical study of fully nonlinear wave propagation through a region of a two-dimensional deep fluid covered by a floating flexible plate was concerned. The nonlinear model based on the special Cosserat theory of hyperelastic shells proposed by Toland (2008) is used to formulated the pressure exerted by the thin elastic sheet. The symmetric solitary waves including elevation and depression branches previously found by Guyenne & Parau (2012) and Wang et al. (2013) were quickly reviewed. A new class of hydroelastic solitary waves which are non-symmetric in the wave propagation direction was then computed.  We focussed in detail on the stability properties of all solitary waves subject to the longitudinal perturbations. A series of numerical experiments were performed to show the non-elastic behaviour of two interacting stable solitary waves. The large response generated by a localised steady pressure distribution moving at a speed slightly below the minimum of the phase speed, which was called the transcritical regime in literature, was examined. The excitations of multi-packet solitary waves by multiple loads moving with the speed in the transcritical regime suggest new laboratory experiments.​​

29th January 2015

Belgin Seymenoglu

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5th February 2015

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12th February 2015

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19th February 2015

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26th February 2015

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