Free boundary value problems and Inverse Problems: Bottom identification in water waves model

Abstract: In this talk we deal with a class of inverse problem for the bottom detection by measurements on the free surface, in water-waves. We start from the general water-waves system in bounded domains with side walls, and rewrite the system as an elliptic problem in a bounded domain with Neumann homogeneous condition on the rigid boundary. Then we are able to relate the integrals on the bottom and free surface, to apply the called method of size estimate (lower and upper bounds) for the region enclosed between two di​erent bottoms, in terms of Neumann and/or Dirichlet data on the free surface.

SpanishMathematics

Audience: researchers in the topic

Seminario Control en Tiempos de Crisis

Series comments: Description: Seminario de investigación en español

Information at amercado.mat.utfsm.cl/SeminarioLatAm-Esp_ControlyPI/