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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 728715, 8 pages
http://dx.doi.org/10.1155/2014/728715
Research Article

Global Existence of the Cylindrically Symmetric Strong Solution to Compressible Navier-Stokes Equations

1College of Teacher Education, Quzhou University, Quzhou 324000, China
2College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China

Received 5 April 2014; Accepted 11 June 2014; Published 30 June 2014

Academic Editor: Igor Boglaev

Copyright © 2014 Jian Liu and Ruxu Lian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper is concerned with the initial boundary value problem for the three-dimensional Navier-Stokes equations with density-dependent viscosity. The cylindrically symmetric strong solution is shown to exist globally in time and tend to the equilibrium state exponentially as time grows up.