Andre Nachbin
(Rio de Janeiro, Brasil)

Asymptotic issues regarding nonlinear wave/topography interaction

The asymptotic issues of interest regard both the PDEs' (i.e. reduced models) as well as the solution's point of view. In particular for problems involving the interaction of coastal waves with quite arbitrary topography profiles. Phenomena studied are the apparent diffusion and waveform inversion of long waves in the presence of highly disordered topographies. I will report on recent results concerning the formulation of accurate reduced (PDE) models, where accuracy concerns asymptotic properties of solutions in respect to the full potential theory model.