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

0458907 - MÚ 2017 RIV CH eng C - Conference Paper (international conference)
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]
R&D Projects: GA ČR(CZ) GAP201/11/1304; GA MŠMT LC06052
Institutional support: RVO:67985840
Keywords : existence of weak solution * fluid-structure interaction * hemodynamics
Subject RIV: BA - General Mathematics
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)).
Permanent Link: http://hdl.handle.net/11104/0259120