## Abstract and Applied Analysis

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

#### Abstract

The Dirichlet problem for the Stokes system in a multiply connected domain of ${ℝ}^{n} \left(n\ge 2\right)$ 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 765020, 12 pages.

Dates
First available in Project Euclid: 18 April 2013

https://projecteuclid.org/euclid.aaa/1366306742

Digital Object Identifier
doi:10.1155/2013/765020

Mathematical Reviews number (MathSciNet)
MR3034912

Zentralblatt MATH identifier
1308.35162

#### Citation

Cialdea, Alberto; Leonessa, Vita; Malaspina, Angelica. On the Dirichlet Problem for the Stokes System in Multiply Connected Domains. Abstr. Appl. Anal. 2013 (2013), Article ID 765020, 12 pages. doi:10.1155/2013/765020. https://projecteuclid.org/euclid.aaa/1366306742

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