Special Session 9: Stochastics and randomness in physical models
Continuous data assimilation for 2d stochastic Navier-Stokes
Hakima Bessaih
Florida Internaational University USA
Co-Author(s): B. Ferrario, O. Landoulsi, M. Zanella
Abstract:
We extend the Azouani-Olson-Titi (AOT) data assimilation framework to the two-dimensional stochastic Navier-Stokes equations with additive and multiplicative noise. We establish conditions on the nudging parameter and observation scale ensuring convergence of the assimilated solution to the true flow. Convergence rates are obtained for both the multiplicative and additive noises These results provide a stochastic extension of AOT and highlight the role of noise in synchronization of fluid flows