The soliton problem for water waves models with a varying medium

Speaker: María Eugenia Martínez

Université Claude Bernard Lyon 1 – Francia

Date: Monday, October 30th, 2023 at 12 Santiago time

Abstract: We focus on the study of solitary waves for two deep water wave models: the Whitham equation and the Zakharov water waves system. In particular, we analyse the behaviour of a solitary wave when it encounters a change in the environment, for example when the bottom of the domain containing the fluid is altered.

Zakharov water waves system arises as a free surface model for an irrotational and incompressible fluid under the influence of gravity. Such a fluid is considered in a domain with a rigid bottom and a free surface. In this talk, we are interested in analysing the behaviour of the solitary wave solution of the flat-bottom problem when the bottom actually presents a change at some point, where the solitary wave enters into an interaction regime with the bottom.

This is a joint work with Claudio Muñoz (Universidad de Chile) and Frédéric Rousset (Université Paris-Sud).

Venue:  Sala de Seminarios, 5th floor, Beauchef 851 / Online via Zoom
Chair: Ricardo Freire