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BEM and the second problems of the Stokes system

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    0380319 - MÚ 2013 RIV GB eng C - Conference Paper (international conference)
    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]
    R&D Projects: GA ČR(CZ) GAP201/11/1304
    Institutional research plan: CEZ:AV0Z1019905
    Keywords : Stokes system * integral equation method * successive approximation
    Subject RIV: BA - General Mathematics

    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.
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