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A Note on Steady Flows of an Incompressible Fluid with Pressure- and Shear Rate-dependent Viscosity

Publication at Faculty of Mathematics and Physics |
2008

Abstract

A class of incompressible fluids whose viscosities depend on the pressure and the shear rate is considered. The existence of weak solutions for flows of such fluids under different settings was studied lately.

In this short note, twe recent existence results are adverted and their direct generalization into different setting is indicated; in this setting the corresponding energy estimates are derived showing the existence of a solution to an approximate system.