Abstract and Applied Analysis
Volume 2013 (2013), Article ID 765020, 12 pages
http://dx.doi.org/10.1155/2013/765020
Research Article

On the Dirichlet Problem for the Stokes System in Multiply Connected Domains

Alberto Cialdea, Vita Leonessa, and Angelica Malaspina

Department of Mathematics, Computer Science and Economics, University of Basilicata, Viale dell'Ateneo Lucano 10, 85100 Potenza, Italy

Received 24 April 2012; Accepted 28 November 2012

Academic Editor: Chun-Lei Tang

Copyright © 2013 Alberto Cialdea 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

The Dirichlet problem for the Stokes system in a multiply connected domain of is considered in the present paper. We give the necessary and sufficient conditions for the representability of the solution by means of a simple layer hydrodynamic potential, instead of the classical double layer hydrodynamic potential.