Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 946208, 7 pages
doi:10.1155/2011/946208
Research Article

Global Well-Posedness for Certain Density-Dependent Modified-Leray- 𝛼 Models

Wenying Chen1 and Jishan Fan2,3

1College of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou, Chongqing 404000, China
2Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
3Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan

Received 3 October 2010; Accepted 16 January 2011

Academic Editor: R. N. Mohapatra

Copyright © 2011 Wenying Chen and Jishan Fan. 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

Global well-posedness result is established for both a 3D density-dependent modified-Leray- 𝛼 model and a 3D density-dependent modified-Leray- 𝛼 -MHD model.