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024 7 $a10.1007/BFb0104029
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100   $a20121227d2000      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aElectrorheological Fluids: Modeling and Mathematical Theory /$fby Michael Ruzicka
205   $a1st ed. 2000.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000.
215   $a1 online resource (XIV, 178 p.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1748
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-540-41385-5 
320   $aIncludes bibliographical references (pages 165-173) and index.
330   $aThis is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r.h.s. and the first ever results for parabolic systems with a non-standard growth conditions are given for the first time. Written for advanced graduate students, as well as for researchers in the field, the discussion of both the modeling and the mathematics is self-contained.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v1748
606   $aFluid mechanics
606   $aContinuum mechanics
606   $aDifferential equations
606   $aEngineering Fluid Dynamics
606   $aContinuum Mechanics
606   $aDifferential Equations
615  0$aFluid mechanics.
615  0$aContinuum mechanics.
615  0$aDifferential equations.
615 14$aEngineering Fluid Dynamics.
615 24$aContinuum Mechanics.
615 24$aDifferential Equations.
676   $a532.051015118
686   $a76W05$2msc
686   $a76A02$2msc
686   $a76D03$2msc
700   $aRuzicka$b Michael$4aut$4http://id.loc.gov/vocabulary/relators/aut$065657
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910146272103321
996   $aElectrorheological fluids: modeling and mathematical theory$9262674
997   $aUNINA