Abstract and Applied Analysis
Volume 2012, Article ID 864186, 14 pages
http://dx.doi.org/10.1155/2012/864186
Uniqueness of Weak Solutions to an Electrohydrodynamics Model
1Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
2Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
Received 11 October 2011; Accepted 3 March 2012
Academic Editor: Narcisa C. Apreutesei
Copyright © 2012 Yong Zhou 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
This paper studies uniqueness of weak solutions to an electrohydrodynamics model in . When , we prove a uniqueness without any condition on the velocity. For , we prove a weak-strong uniqueness result with a condition on the vorticity in the homogeneous Besov space.