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Seminario / Scrobogna

Giovedì 28 aprile alle 16.30

ci sarà il seguente seminario

del Prof. Stefano Scrobogna (Università di Trieste):

"On the effect of viscosity in surface waves"

Abstract: The motion of water waves is a classical research topic that has attracted a lot of attention from many different researchers in Mathematics, Physics and Engineering and it is classically modeled by the free-boudary irrotational Euler equations. Usually, these assumptions are enough to describe the main part of the dynamics of real water waves, however, discrepancies between experimental experiences and computer simulations show that sometimes viscosity needs to be taken into account. In this setting the Euler equations should be replaced by the Navier-Stokes equations and the irrotationality hypothesis has to be dropped. It is known however, since the works of Boussinesq (1895) and Lamb (1932) that the vorticity plays a role only close to the free boundary, thus, it would be desirable to add dissipative effects to the water waves equations without going all the way to the Navier-Stokes equations and the subsequent removal of the irrotationality assumption. This problem has been addressed by a number of people starting with Boussinesq and Lamb, in this talk we will investigate a a model proposed by Dias, Dyachenko & Zakharov (Physics Letters A 2008), and we will provide some rigorous mathematical result on the full model as well as derivation of asymptotic models describine physically relevants configurations
This is a joint work with R. Granero-belinchón (U. Cantabria).

28 aprile 2022
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