The Neumann problem for the planar Stokes system

0383609 - MÚ 2013 RIV FR eng J - Journal Article
Medková, Dagmar
The Neumann problem for the planar Stokes system.
Annali dell´Universitá di Ferrara. Roč. 58, č. 2 (2012), s. 307-329. ISSN 0430-3202
R&D Projects: GA ČR(CZ) GAP201/11/1304
Institutional support: RVO:67985840
Keywords : Stokes system * Neumann problem * single layer potential
Subject RIV: BA - General Mathematics
http://rd.springer.com/article/10.1007/s11565-012-0154-8#

The Neumann problem for the Stokes system is studied on bounded and unbounded domains with Ljapunov boundary in the plane. We construct a solution of this problem in the form of appropriate potentials and reduce the problem to an integral equation systems on the boundary of the domain. We determine a necessary and sufficient condition for the solvability of the problem. Then we study the direct integral equation method and prove that a solution of the corresponding integral equation can be obtained by the successive approximation.
Permanent Link: http://hdl.handle.net/11104/0213493