Mathematical Finance and Stochastic Analysis seminar: On the stochastic 3D globally modified Navier-Stokes system
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A stochastic version of the deterministic 3D globally modified Navier-Stokes model is presented. The model arises in the modeling of turbulent flows in fluids. We establish the global well-posedness of the strong solution (in both PDE and probabilistic sense). Moreover, we investigate the asymptotic behavior of the unique solution. We also extend the present results to the stochastic 3D globally modified Cahn-Hilliard Navier-Stokes equations. This is a joint work with Tachim Medjo Theodore (Florida International University, USA).