One World Waves - R Granero-Belinchon
From OLLIE Quinn on July 8th, 2020
Rafael Granero-Belinchón: Water waves with viscosity
For most applications, water is assumed to be incompressible, irrotational and inviscid. Usually, these assumptions are enough to describe the main part of the dynamics of real water waves.
When viscosity is taken into account, vorticity also plays a role. Since the classical works of Lamb and Boussinesq in the XIX century, it is well-known that, under certain conditions, vorticity is important only in a layer near the free surface. With this in mind, Dias, Dyachenko & Zakharov proposed a free boundary problem modelling water waves with viscosity.
In this talk I will present new asymptotic model for water waves with viscosity together with new mathematical results for both the full free boundary problem proposed by Dias, Dyachenko & Zakharov and also for the asymptotic model of water waves.