On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid

0456888 - MÚ 2016 RIV JP eng J - Článek v odborném periodiku
Hundertmark-Zaušková, A. - Lukáčová-Medviďová, M. - Nečasová, Šárka
On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid.
Journal of the Mathematical Society of Japan. Roč. 68, č. 1 (2016), s. 193-243. ISSN 0025-5645
Grant CEP: GA ČR(CZ) GAP201/11/1304
Institucionální podpora: RVO:67985840
Klíčová slova: non-Newtonian fluids * fluid-structure interaction * shear-thinning fluids
Obor OECD: Pure mathematics
Impakt faktor: 0.592, rok: 2016
http://projecteuclid.org/euclid.jmsj/1453731541

We study the existence of weak solution for unsteady fluid-structure interaction problem for shear-thickening flow. The time dependent domain has at one part a flexible elastic wall. The evolution of fluid domain is governed by the generalized string equation with action of the fluid forces. The power-law viscosity model is applied to describe shear-dependent non-Newtonian fluids.
Trvalý link: http://hdl.handle.net/11104/0257359