Communications in Mathematical Sciences

Volume 15 (2017)

Number 6

Pullback attractors and invariant measures for the non-autonomous globally modified Navier–Stokes equations

Pages: 1565 – 1580

DOI: https://dx.doi.org/10.4310/CMS.2017.v15.n6.a4

Authors

Caidi Zhao (Department of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang, China)

Ling Yang (Department of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang, China)

Abstract

This paper studies the non-autonomous globally modified navier–stokes equations. the authors first prove that the associated process possesses a pullback attractor. then they establish that there exists a unique family of borel invariant probability measures on the pullback attractor.

Keywords

pullback attractor, invariant measures, non-autonomous globally modified Navier–Stokes equations

2010 Mathematics Subject Classification

35B41, 35D99, 76F20

Full Text (PDF format)

Supported by NSF of China (No.11271290) and by NSF of Zhejiang province (LY17A010011) and the GSNF of Wenzhou University (3162016023).

Received 24 April 2016

Published 27 June 2017