[AN] Eliseo Luongo: A Stochastic Particle Approximation of the 2D Navier-Stokes Equations with Vorticity Generation.

16 January 2024 16:00 till 17:00 - Location: EEMCS Lecture Hall Chip | Add to my calendar

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.