BEM and the second problems of the Stokes system

0380319 - MÚ 2013 RIV GB eng C - Konferenční příspěvek (zahraniční konf.)
Medková, Dagmar
BEM and the second problems of the Stokes system.
Advances in Boundary Element and Meshless Techniques XIII. Eastleigh: EC, ltd, 2012 - (Prochazka, P.; Aliabadi, M.), s. 230-236. ISBN 978-0-9547783-9-2.
[Proceedings of the Boundary Elements and Meshless Techniques. Praha (CZ), 03.09.2012-05.09.2012]
Grant CEP: GA ČR(CZ) GAP201/11/1304
Výzkumný záměr: CEZ:AV0Z1019905
Klíčová slova: Stokes system * integral equation method * successive approximation
Kód oboru RIV: BA - Obecná matematika

A weak solution of two Neumann problems for the Stokes system in Sobolev space is studied in a bounded Lipschitz domain with connected boundary. A solution is looked for in the form of a hydrodynamical single layer potential. It leads to an integral equation on the boundary of the domain. Necessary and sufficient conditions for the solvability of the problem are given. Moreover, it is shown that we can obtain a solution of this integral equation using the successive approximation method.
Trvalý link: http://hdl.handle.net/11104/0211055