Upper estimates on Hausdorff and fractal dimensions of global attractors for the 2D Navier-Stokes-Voight equations with a distributed delay

摘要

This paper is concerned with the dynamics of 2D Navier-Stokes-Voight equations which govern an incompressible fluid flow. By virtue of energy estimates and compact embedding technique, we establish the existence of finite fractal dimensional global attractor for the 2D Navier-Stokes-Voight equations with a distributed delay.