H. Scott DUMAS

Department of Mathematics
University of Cincinnati
Cincinnati, OH 45221 - 0025
USA
Scott.Dumas@uc.edu or dumas@dmi.ens.fr

Averaging method for perturbations of mixing flows (joint work with F. Golse)

Abstract: For a class of multiphase averaging problems in which the unperturbed flow of the fast variables is a transitive Anosov flow or is sufficiently rapidly mixing, we obtain what is probably an optimal power-law estimate, in the small parameter, of the rate at which the average maximum difference between solutions of the exact and averaged problems converges to zero. This verifies and extends an earlier conjectural remark by V.I. Arnold.