书目名称 | Electrorheological Fluids: Modeling and Mathematical Theory |
编辑 | Michael Růžička |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2000 |
关键词 | 35O2; Electrorheological Fluids; Elliptic System; Maxwell‘s equations; Modeling; Non-Standard Growth Cond |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0104029 |
isbn_softcover | 978-3-540-41385-1 |
isbn_ebook | 978-3-540-44427-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2000 |