On the Rate of Convergence of the Two-Dimensional α-Models of Turbulence to the Navier–Stokes Equations
On the Rate of Convergence of the Two-Dimensional α-Models of Turbulence to the Navier–Stokes Equations
Rates of convergence of solutions of various two-dimensional α-regularization models, subject to periodic boundary conditions, toward solutions of the exact Navier–Stokes equations are given in the L ∞-L 2 time-space norm, in terms of the regularization parameter α, when α approaches zero. Furthermore, as a paradigm, error estimates for the …