Applications of Mathematics

, Volume 49, Issue 6, pp 565–609 | Cite as

Modeling, Mathematical and Numerical Analysis of Electrorheological Fluids

  • Michael Růžička
Article

Abstract

Many electrorheological fluids are suspensions consisting of solid particles and a carrier oil. If such a suspension is exposed to a strong electric field the effective viscosity increases dramatically. In this paper we first derive a model which captures this behaviour. For the resulting system of equations we then prove local in time existence of strong solutions for large data. For these solutions we finally derive error estimates for a fully implicit time-discretization.

Keywords

Maxwell’s equations electrorheological fluids constitutive relations Galerkin approximation 

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Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2004

Authors and Affiliations

  • Michael Růžička
    • 1
  1. 1.Mathematical Institute

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