The talk Existence theory for stochastic power law fluids, by Dominic Breit (Heriot-Watt University), will be held on Monday March 2, 2015 at 8:30 in room K4.
Abstract
We consider the equations of motion for an incompressible Non-Newtonian fluid in a bounded Lipschitz domain G during the time intervall (0,T) together with a stochastic perturbation driven by a Hilbert space valued Brownian motion. The momentum equation contains as unknowns velocity and pressure respectively. The noise depends in a nonlinear way on the velocity. We assume the common power law model where the viscocity is a power (p-2) of the shear rate and show the existence of a martingale weak solution provided p>8/5 (in case d=3). Our approach is based on the L^\infty-truncation and a harmonic pressure decomposition which are adapted to the stochastic setting.