Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 68, Number 1 (2016), 193-243.
On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid
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.
J. Math. Soc. Japan, Volume 68, Number 1 (2016), 193-243.
First available in Project Euclid: 25 January 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 76D03: Existence, uniqueness, and regularity theory [See also 35Q30] 74F10: Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
Secondary: 35D30: Weak solutions 76A05: Non-Newtonian fluids 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10]
HUNDERTMARK-ZAUŠKOVÁ, Anna; LUKÁČOVÁ-MEDVIĎOVÁ, Mária; NEČASOVÁ, Šárka. On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid. J. Math. Soc. Japan 68 (2016), no. 1, 193--243. doi:10.2969/jmsj/06810193. https://projecteuclid.org/euclid.jmsj/1453731541