Počet záznamů: 1

The planar Dirichlet problem for the Stokes equations

  1. 1.
    0365416 - MU-W 2012 RIV GB eng J - Článek v odborném periodiku
    Medková, Dagmar - Varnhorn, W.
    The planar Dirichlet problem for the Stokes equations.
    Mathematical Methods in the Applied Sciences. Roč. 34, č. 9 (2011), s. 1097-1109 ISSN 0170-4214
    Grant CEP: GA AV ČR IAA100190804
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Stokes system * single-layer potential * double-layer potential
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.743, rok: 2011
    http://onlinelibrary.wiley.com/doi/10.1002/mma.1425/full

    The Dirichlet problem for the Stokes equations is studied in a planar domain. We construct a solution of this problem in form of appropriate potentials and determine the unknown source densities via integral equation systems on the boundary of the domain. The solution is given explicitly in the form of a series. As a consequence we determine a solution of the Dirichlet problem for a compressible Stokes system and a solution of a boundary value problem on a domain with cracks.
    Trvalý link: http://hdl.handle.net/11104/0200661
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