Electrorheological Fluids: Modeling and Mathematical Theory

Author:   Michael Ruzicka
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2001 ed.
Volume:   1748
ISBN:  

9783540413851


Pages:   178
Publication Date:   12 December 2000
Format:   Paperback
Availability:   In Print   Availability explained
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Electrorheological Fluids: Modeling and Mathematical Theory


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Overview

This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r. h. s. and the first ever results for parabolic systems with a non-standard growth conditions are given for the first time. Written for advanced graduate students, as well as for researchers in the field, the discussion of both the modeling and the mathematics is self-contained.

Full Product Details

Author:   Michael Ruzicka
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2001 ed.
Volume:   1748
Dimensions:   Width: 15.60cm , Height: 1.00cm , Length: 23.40cm
Weight:   0.630kg
ISBN:  

9783540413851


ISBN 10:   3540413855
Pages:   178
Publication Date:   12 December 2000
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Modeling of electrorheological fluids.- Mathematical framework.- Electrorheological fluids with shear dependent viscosities: Steady flows.- Electrorheological fluids with shear dependent viscosities: Unsteady flows.

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