ON THE RATE OF CONVERGENCE OF THE TWO-DIMENSIONAL alpha-MODELS OF TURBULENCE TO THE NAVIER-STOKES EQUATIONS Academic Article uri icon

abstract

  • Rates of convergence of solutions of various two-dimensional -regularization models, subject to periodic boundary conditions, toward solutions of the exact Navier-Stokes equations are given in the L -L2 time-space norm, in terms of the regularization parameter , when approaches zero. Furthermore, as a paradigm, error estimates for the Galerkin approximation of the exact two-dimensional Leray- model are presented in the L-L2 time-space norm. Simply by the triangle inequality, one can reach the error estimates of the solutions of Galerkin approximation of the - regularization models toward the exact solutions of the Navier-Stokes equations in the two-dimensional periodic boundary conditions case.

published proceedings

  • NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

author list (cited authors)

  • Cao, Y., & Titi, E. S.

citation count

  • 23

complete list of authors

  • Cao, Yanping||Titi, Edriss S

publication date

  • December 2009