Existence of weak solutions for unsteady motions of micro-polar electrorheological fluids
Analysis of PDEs
2015-10-02 v1 Mathematical Physics
math.MP
Abstract
In this paper we study the existence of weak solutions to an unsteady system describing the motion of micro-polar electrorheological fluids. The constitutive relations for the stress tensors belong to the class of generalized Newtonian fluids. Using the Lipschitz truncation and the solenoidal Lipschitz truncation we establish the existence of global solutions for shear exponents in three-dimensional domains.
Keywords
Cite
@article{arxiv.1510.00161,
title = {Existence of weak solutions for unsteady motions of micro-polar electrorheological fluids},
author = {E. Baeumle and M. Ruzicka},
journal= {arXiv preprint arXiv:1510.00161},
year = {2015}
}