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Asymmetric nonlinear flexural waves

Presented by: 
Jean-Marc Vanden-Broeck University College London
Date: 
Tuesday 3rd October 2017 - 15:30 to 16:15
Venue: 
INI Seminar Room 1
Abstract: 
Nonlinear waves travelling under an elastic sheet are considered. The fluid is assumed to be inviscid and incompressible and the flow to be irrotational. The sheet is modelled by using the theory of Plotnikov and Toland. The problem is solved by boundary integral equation methods and series truncation approaches. Periodic waves, solitary waves and generalised solitary waves are considered. Special attention is devoted to asymmetric waves. Time dependent solutions are also presented.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons