Abstract: | In this paper the problem of the numerical approximation of the minimal global B-attractor
for a semiflow generated by the Navier-Stokes equations in a two-dimensional bounded domain Ω is considered. The method suggested
here is based on the formula
, where GN is a sequence of compact subsets of L2(Ω),
. The procedure of constructing GN is finite and includes the numerical solution of the Navier-Stokes equations by means of the Galerkin method, together with
an explicit finite-difference discretization in time. Bibliography: 5 titles.
To dear teacher Olga A. Ladyzhenskaya on the occasion of the jubilee
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 200, 1992, pp. 91–97.
Translated by V. I. Ochkur. |