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

SYSNO ASEP	0458907
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	On the weak solution of the fluid-structure interaction problem for shear-dependent fluids
Author(s)	Hundertmark, A. (DE) Lukáčová-Medviďová, M. (DE) Nečasová, Šárka (MU-W)_{RID, SAI, ORCID}
Source Title	Recent Developments of Mathematical Fluid Mechanics. - Basel : Springer, 2016 / Amann H. ; Giga Y. ; Kozono H. ; Okamoto H. ; Yamazaki M. - ISSN 2297-0320 - ISBN 978-3-0348-0938-2
Pages	s. 291-319
Number of pages	29 s.
Publication form	Print - P
Action	International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday
Event date	05.03.2013 - 09.03.2013
VEvent location	Nara
Country	JP - Japan
Event type	WRD
Language	eng - English
Country	CH - Switzerland
Keywords	existence of weak solution ; fluid-structure interaction ; hemodynamics
Subject RIV	BA - General Mathematics
R&D Projects	GAP201/11/1304 GA ČR - Czech Science Foundation (CSF)
	LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
Institutional support	MU-W - RVO:67985840
EID SCOPUS	84964285299
DOI	10.1007/978-3-0348-0939-9_16
Annotation	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)).
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2017

Number of the records: 1