Séminaire du 07/02/2020

Gastón Vergara Hermosilla (IMB) : « Some conclusions about a system modelling rigid structures floating in a viscous fluid »

Abstract :

In this talk we will study a PDE based model for the vertical motion of a solid floating at the free surface of a shallow viscous fluid. We will show that the governing equations define a well-posed linear system, and thanks to an explicit form of the transfer function we prove that system is input-output stable. 


In the second part of the talk, we will present some recent results about a diffusive representation and the asymptotic behaviour of an equation of Cummins type associated to the PDE model.