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On the weak solution of the fluid-structure interaction problem for shear-dependent fluids

  1. 1.
    0458907 - MÚ 2017 RIV CH eng C - Konferenční příspěvek (zahraniční konf.)
    Hundertmark, A. - Lukáčová-Medviďová, M. - Nečasová, Šárka
    On the weak solution of the fluid-structure interaction problem for shear-dependent fluids.
    Recent Developments of Mathematical Fluid Mechanics. Basel: Springer, 2016 - (Amann, H.; Giga, Y.; Kozono, H.; Okamoto, H.; Yamazaki, M.), s. 291-319. Advances in Mathematical Fluid Mechanics. ISBN 978-3-0348-0938-2. ISSN 2297-0320.
    [International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday. Nara (JP), 05.03.2013-09.03.2013]
    Grant CEP: GA ČR(CZ) GAP201/11/1304; GA MŠk LC06052
    Institucionální podpora: RVO:67985840
    Klíčová slova: existence of weak solution * fluid-structure interaction * hemodynamics
    Kód oboru RIV: BA - Obecná matematika
    http://link.springer.com/chapter/10.1007%2F978-3-0348-0939-9_16

    In this paper the coupled fluid-structure interaction problem for incompressible non-Newtonian shear-dependent fluid flow in two-dimensional time-dependent domain is studied. One part of the domain boundary consists of an elastic wall. Its temporal evolution is governed by the generalized string equation with action of the fluid forces by means of the Neumann type boundary condition. The aim of this work is to present the limiting process for the auxiliary (...) (...)-problem. The weak solution of this auxiliary problem has been studied in our recent work (Hundertmark-Zaušková, Lukáčová-Medvid’ová, Nečasová, On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid, J. Math. Soc. Japan (in press)).
    Trvalý link: http://hdl.handle.net/11104/0259120

     
     
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