Incompressible Fluids with pressure dependent viscosity fulfilling n(p, ·) → + ∞ as p → +∞
by
Miroslav Bulíček
Mathematical Institute, Charles University, Prague

At high pressures, the fact that the viscosity grows significantly (even exponentially) with increasing pressure cannot be ignored. We present long-time and large-data existence results for a modified incompressible Navier-Stokes equations where the modification is due to the dependence of the viscosity on the shear rate and the pressure. The novelty of this result consists in allowing the viscosity to be an unbounded function of pressure at plus infinity.

Date received: July 23, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavl-58.