Lecture Notes in Mathematics

Electrorheological Fluids: Modeling and Mathematical Theory

Authors: Ruzicka, Michael

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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.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-540-44427-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.95
price for USA in USD
  • ISBN 978-3-540-41385-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Electrorheological Fluids: Modeling and Mathematical Theory
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1748
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-44427-5
DOI
10.1007/BFb0104029
Softcover ISBN
978-3-540-41385-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIV, 178
Topics