Electrorheological Fluids: Modeling and Mathematical Theory: 1748 (Lecture Notes in Mathematics, 1748) - Softcover

Ruzicka, Michael

Softcover

ISBN 10: 3540413855 ISBN 13: 9783540413851

Publisher: Springer, 2000

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 2000
• Language: English
• ISBN 10: 3540413855
• ISBN 13: 9783540413851
• Binding: Paperback
• Number of pages: 192