Journal of Applied Mathematics
Volume 2011 (2011), Article ID 264795, 18 pages
http://dx.doi.org/10.1155/2011/264795
Research Article

Global Existence of Cylinder Symmetric Solutions for the Nonlinear Compressible Navier-Stokes Equations

Lan Huang,1 Fengxiao Zhai,2 and Beibei Zhang3

1College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
2Department of Physics, Zhengzhou University of Light Industry, Zhengzhou 450002, China
3School of Statistics, Capital University of Economics and Business, Beijing 100070, China

Received 4 September 2011; Accepted 6 October 2011

Academic Editor: Meng Fan

Copyright © 2011 Lan Huang et al. 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

We prove the global existence of cylinder symmetric solutions to the compressible Navier-Stokes equations with external forces and heat source in 𝑅 3 for any large initial data. Some new ideas and more delicate estimates are used to prove this result.