Seminario di PDE

Lunedì 9 giugno 2025 alle ore 15:00 nella Sala Riunioni I livello del DMA

il professor Riccardo Montalto
(Università di Milano)

terrà il seguente seminario:

Titolo: Small and large amplitude quasi-periodic waves in Fluid Mechanics.

Abstract:
In this talk I shall discuss some recent results about the construction of small and large amplitude quasi-periodic waves in Euler equations and other hydro-dynamical models in dimension greater or equal than two. I shall discuss quasi-peridic solutions and vanishing viscosity limit for forced Euler and Navier-Stokes equations and the problem of constructing quasi-periodic traveling waves bifurcating from Couette flow (and connections with inviscid damping).  I also discuss some results concerning the construction of large amplitude quasi-periodic waves in rotating fluids. The techniques are of several kinds: Nash-Moser iterations, micro-local analysis, analysis of resonances in higher dimension, normal form constructions in high dimension and spectral theory.