Seminar

Department of Mathematics

Indian Institute of Science

Bangalore 560 012

SEMINAR

Speaker	:	Dr. Anna Zau�kov�
Affiliation	:	Institute of Numerical Simulation, Hamburg University of Technology, Germany
Subject Area	:	Mathematics
Venue	:	Lecture Hall - III, Dept of Mathematics
Time	:	4.00 pm
Date	:	February 28,2008 (Thursday)
Title	:	MATHEMATICAL MODELLING IN HEMODYNAMICS II
Abstract	:	On the existence and uniqueness of non-Newtonian shear dependent flow in compliant vessel Abstract 2 We show the generalization of previous existence and uniqueness result for Navier-Stokes equation in time-dependent domain, based on energy method and global iterative approach for decoupling the flow and deformation problem. We consider here the power law viscosity model describing shear-dependent non-Newtonian fluids. We explain new techniques for additional non-linear viscous term, based on monotonous behaviour of corresponding viscous operator. After proving the existence of weak solution on a domain with known deformation η= ηk, the convergence of iterative process with respect to the domain deformation can be shown for a special case of coefficients in the deformation equation.