Volume no :14, Issue no: 1, August (2015)

Journal of Pure and Applied Mathematics: Advances and Applications

EXPONENTIAL ATTRACTOR FOR THE THREE-DIMENSIONAL NAVIER-STOKES EQUATION WITH NONLINEAR DAMPING

Author's: Xue-Li Song, Fei Liang and Jun Su
Pages: [27] - [39]
Received Date: May 14, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121498

Abstract

In this paper, we consider the asymptotic behaviour of solutions for three-dimensional incompressible Navier-Stokes equations with nonlinear damping. We show the squeezing property and the existence of exponential attractor for this equation.

Keywords

Navier-Stokes equation, damping, exponential attractor.