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＜E-Book＞
Electrorheological Fluids: Modeling and Mathematical Theory / by Michael Ruzicka
(Lecture Notes in Mathematics. ISSN:16179692 ; 1748)

Edition	1st ed. 2000.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2000
Language	English
Size	XIV, 178 p : online resource
Authors	*Ruzicka, Michael author SpringerLink (Online service)
Subjects	LCSH:Fluid mechanics LCSH:Continuum mechanics LCSH:Differential equations FREE:Engineering Fluid Dynamics FREE:Continuum Mechanics FREE:Differential Equations
Notes	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 HTTP:URL=https://doi.org/10.1007/BFb0104029

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