12ème JEAN, 18 décembre 2014
Ana Maria Luz Fassarella do Amaral
:
Wave Packet Defocusing Due to a Highly Disordered Bathymetry.
Different water wave regimes lead to different types of wave-topography interactions. In the present work we consider the envelope of slowly modulated waves propagating over a highly disordered topography at intermediate depth. Through the combination of a conformal mapping and a multiple-scales asymptotic analysis it is shown that large variations of a disordered bathymetry can affect the nonlinearity coefficient of the resulting damped nonlinear Schrödinger equations. In particular it is shown that as the bathymetry fluctuation level increases the critical point (separating the focusing from the defocusing region) moves to the right, hence enlarging the region where the dynamics is of a defocusing character.
(In collaboration with A. Nachbin, IMPA.)
