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. Hoppe1 , M.Y. Kuzmin2 , W.G. Litvinov3 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

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.