Dipartimento di Matematica e Applicazioni

Seminari (PMS)^2

Lunedì 23 gennaio a partire dalle 14:30 si terrano i seguenti seminari ibridi (dal vivo con streaming online) del ciclo 

(PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics
coorganizzato dalle università Milano-Bicocca, Pavia e Milano-Politecnico.

Speaker: Eliseo Luongo (SNS Pisa)

Title: A stochastic particle approximation approach of the 2D Navier-Stokes equations with vorticity generation. (See Abstract below.)

Speaker: Francesco Grotto (Università di Pisa)

Title: Area Excursions and nodal Leray measures for Random Waves on hyperbolic space. (See Abstract below.)

Place: Aula 3014, Dip. di Matematica e Applicazioni, Univ. di Milano-Bicocca, via R. Cozzi 55, Milano

Meeting number:
2743 324 2093
Password:
YPiMid9rP83
 
Abstract (Luongo): Particle approximation of 2D Navier-Stokes equations is a relevant problem in fluid dynamics with consequences also in its numerical analysis. The problem is essentially solved in the case of domains without boundary, but it remains mostly open in the case of no-slip boundary conditions, due to the difficulty of understanding  and modeling generation of vorticity close to the boundary. The solution of this problem could have a deep impact in our understanding of turbulence. In this talk we present a stochastic particle approximation method which allows us to treat 2D Navier-Stokes equations in the case of prescribed vorticity generation. Our approach is almost completely functional analytic based. Moreover we obtain finer convergence results to the solution of the Navier-Stokes equations compared to propagation of chaos techniques. The talk is based on a joint work with F. Grotto and M. Maurelli.
 
Abstract (Grotto): Focusing on the asymptotic behavior of a couple of relevant geometric functionals, we will discuss analogies and differences between random wave models on hyperbolic space and other geometric settings on which the related theory is by now well-established. Based on joint work with Giovanni Peccati.
 
Participation is free and welcome!