Continuous Data Assimilation for the Three-Dimensional Navier--Stokes Equations
Continuous Data Assimilation for the Three-Dimensional Navier--Stokes Equations
In this paper, we identify conditions, based solely on the observed data, for the global well-posedness, regularity, and the asymptotic tracking property of solutions of the Newtonian relaxation (nudging) algorithm for data assimilation for the three-dimensional incompressible Navier-Stokes equations (3D NSE).A rigorous analysis of this algorithm for dissipative partial differential …