Abstract and Applied Analysis 
Volume 2006 (2006), Article ID 43560, 14 pages
doi:10.1155/AAA/2006/43560

Flow of electrorheological fluid under conditions of slip on the boundary

R. H. W. Hoppe,1 M. Y. Kuzmin,2 W. G. Litvinov,3 and V. G. Zvyagin2

 1Department of Mathematics, University of Houston, Houston TX 77204, USA
2Department of Mathematics, Voronezh State University, Universitetskaya Pl. 1, Voronezh 394006, Russia
3Institute of Mathematics, University of Augsburg, Augsburg 86159, Germany
Received 26 June 2005; Accepted 1 July 2005

Abstract

We study a mathematical model describing flows of electrorheological fluids. A theorem of existence of a weak solution is proved. For this purpose the approximating-topological method is used.