On the Dirichlet problem for the Stokes system in multiply connected domains
type: Item
instance of: scholarly article
title: On the Dirichlet problem for the Stokes system in multiply connected domains
zbMATH Open document ID: 1308.35162
DOI: 10.1155/2013/765020
author: A. Cialdea
author: Vita Leonessa
author: A. Malaspina
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: The Dirichlet problem for the Stokes system in a multiply connected domain of \(\mathbb R^n\) (\(n \geq 2\)) 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.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 47G10
zbMATH DE Number: 6161373
Wikidata QID: Q58917411
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/765020
OpenAlex ID: W2008394064
cites work: Su un problema al contorno relativo al sistema di equazioni di Stokes
cites work: Q3276837
cites work: A mixed boundary value problem for the unsteady Stokes system in a bounded domain in \(\mathbb{R}^n\)
cites work: The Dirichlet problems for the Stokes resolvent equations in bounded and exterior domains in ℝn
cites work: Q3630020
cites work: Boundary value problems for a compressible Stokes system in bounded domains in \(\mathbb R^n\)
cites work: Q4953636
cites work: ON THE TRACTION PROBLEM FOR THE STOKES SYSTEM
cites work: Q3831325
cites work: Q3276064
cites work: Q3752967
cites work: Q4944330
cites work: On the Dirichlet and the Neumann problems for Laplace equation in multiply connected domains
cites work: Q3006900
cites work: Q3635968
cites work: Integral representations for solutions of some BVPs for the Lamé system in multiply connected domains
cites work: On an integral equation of the first kind arising in the theory of Cosserat
cites work: A general theory of hypersurface potentials
cites work: Q4193022
cites work: Q5576913
cites work: On the finiteness of the energy integral in elastostatics with non absolutely continuous data
cites work: The multiple layer potential for the biharmonic equation in \(n\) variables
description: scientific article; zbMATH DE number 6161373