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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Riemann-Hilbert approach to scattering problems in elastic media
Riemann-Hilbert approach to scattering problems in elastic mediaAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Mustapha Amrani. This talk has been canceled/deleted We are developing Riemann-Hilbert (RH) approach to scattering problems in elastic media. The approach is based on a version of RH method introduced in ninties by A. Fokas for studying boundary problems for linear and integrable nonlinear PDEs. The suitable Lax pair formulation of the elastodynamic equation is obtained. The integral representations obtained from this vector Lax pair are applied to Rayleigh wave propagation in an elastic quarter space and half space. This reduces the problem to the analysis of certain underdetermined matrix RH problem on a torus. We showed that the problem can be in fact re-formulated as a well-posed RH problem with a shift. Some results of the described analysis will be discussed. Part of this work is done jointly with J. Kaplunov. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:This talk is not included in any other list Note that ex-directory lists are not shown. |
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