Existence of steady solutions for a general model for micropolar electrorheological fluid flows

2021/12/13 by Alex Kaltenbach, Kaltenbach, Alex, Michael Růžička +1 · 1 citation
Chemical Engineering · Engineering · Medicine · #Rheology and Fluid Dynamics Studies #Elasticity and Material Modeling #Blood properties and coagulation

paper · pdf · doi:10.48550/arxiv.2112.06512

Abstract

In this paper we study the existence of solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the stress tensors belong to the class of generalized Newtonian fluids. The analysis of this particular problem leads naturally to weighted Sobolev spaces. By deploying the Lipschitz truncation technique, we establish the existence of solutions without additional assumptions on the electric field.

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