Skip to main content
  • Book
  • © 2000

Electrorheological Fluids: Modeling and Mathematical Theory

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1748)

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

This is a preview of subscription content, access via your institution.

Table of contents (4 chapters)

  1. Front Matter

    Pages i-xv
  2. Modeling of electrorheological fluids

    • Michael Růžička
    Pages 1-37
  3. Mathematical framework

    • Michael Růžička
    Pages 39-59
  4. Back Matter

    Pages 153-176

About this book

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.

Keywords

  • 35O2
  • Electrorheological Fluids
  • Elliptic System
  • Maxwell's equations
  • Modeling
  • Non-Standard Growth Conditions
  • Parabolic System
  • Rhe
  • fluid- and aerodynamics
  • partial differential equations

Bibliographic Information

  • Book Title: Electrorheological Fluids: Modeling and Mathematical Theory

  • Authors: Michael Růžička

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0104029

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Softcover ISBN: 978-3-540-41385-1Published: 12 December 2000

  • eBook ISBN: 978-3-540-44427-5Published: 06 May 2007

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 178

  • Topics: Engineering Fluid Dynamics, Continuum Mechanics, Differential Equations

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions