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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Initial-boundary value problems for Boussinesq-type systems

## Initial-boundary value problems for Boussinesq-type systemsAdd to your list(s) Download to your calendar using vCal - Dionyssis Mantzavinos (University of Kansas)
- Thursday 14 July 2022, 15:00-15:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. HY2W01 - Modulation theory and dispersive shock waves Certain nonlinear approximations to the Euler equations of hydrodynamics in the weakly nonlinear and weakly dispersive waves regime will be discussed in the context of their associated initial-boundary value problems on the half-line and the finite interval. In particular, explicit solution formulae will be derived via the unified transform of Fokas for the linearizations of these Boussinesq-type systems in the case of nonzero boundary conditions. Furthermore, well-posedness will be established for a certain regularization of these systems in the context of an initial-boundary value problem that describes the dynamics of water waves in a basin with wall- boundary conditions. Numerical experiments illustrating the effect of the boundary conditions on the reflection of solitary waves by a vertical wall will also be discussed. This is joint work with Dimitrios Mitsotakis. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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