Dear colleagues,

we are happy to announce the following online talk:

Speaker: Hakima Bessaih (Florida International University)

Title: Numerical schemes for the 2d Stochastic Navier-Stokes equations.

Abstract: We consider a time discretization scheme of Euler type for the 2d stochastic Navier-Stokes equations on the torus.

We prove a mean square rate of convergence. This refines previous results established with a rate of convergence in probability only.

Using exponential moment estimates of the solution of the Navier-Stokes equations and a convergence of a localized scheme, we can prove strong convergence of fully implicit and semi-implicit time Euler discretization and also a splitting scheme. The speed of convergence depends on the diffusion coefficient and the viscosity parameter.

When the noise is additive, we are able to get strong convergence without localization.

Date and time: Monday September 27, 17:30-18:30 (Rome time zone)

Zoom link: https://us02web.zoom.us/j/5772228296

This is a talk of the (PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico and Milano-Statale. For more information see the dedicated webpage:

https://paviamilanoseminars.wordpress.com/http://paviamilanoseminars.wordpress.com/

Participation is free and welcome! (though limited to 100 participants for technical reasons).

Best regards

The organizers (Mario Maurelli, Carlo Orrieri, Maurizia Rossi, Margherita Zanella)