Title: A stochastic particle approximation approach of the 2D Navier-Stokes equations with vorticity generation. (See Abstract below.)
Speaker: Francesco Grotto (Univ. di Pisa)
Title: Area Excursions and nodal Leray measures for Random Waves on hyperbolic space. (See Abstract below.)
Date and Time: Monday January 23, 14:30-16:30 (Rome time zone)
Place: Aula 3014, Dip. di Matematica e Applicazioni, Univ. di Milano-Bicocca, via R. Cozzi 55, Milano
Meeting number:
2743 324 2093
Password:
YPiMid9rP83
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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.
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These talks are part of the
(PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics
organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico.
Participation is free and welcome!
Best regards
The organizers (Carlo Orrieri, Maurizia Rossi, Margherita Zanella)
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Maurizia Rossi
Dipartimento di Matematica e Applicazioni
Università degli Studi di Milano-Bicocca