03241nam 22007095 450 991014627210332120250729101819.03-540-44427-010.1007/BFb0104029(CKB)1000000000437266(SSID)ssj0000322862(PQKBManifestationID)11247843(PQKBTitleCode)TC0000322862(PQKBWorkID)10289788(PQKB)10105387(DE-He213)978-3-540-44427-5(MiAaPQ)EBC6300763(MiAaPQ)EBC5585448(Au-PeEL)EBL5585448(OCoLC)1066194371(PPN)155165658(EXLCZ)99100000000043726620121227d2000 u| 0engurnn#008mamaatxtccrElectrorheological Fluids: Modeling and Mathematical Theory /by Michael Ruzicka1st ed. 2000.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2000.1 online resource (XIV, 178 p.)Lecture Notes in Mathematics,1617-9692 ;1748Bibliographic Level Mode of Issuance: Monograph3-540-41385-5 Includes bibliographical references (pages 165-173) and index.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.Lecture Notes in Mathematics,1617-9692 ;1748Fluid mechanicsContinuum mechanicsDifferential equationsEngineering Fluid DynamicsContinuum MechanicsDifferential EquationsFluid mechanics.Continuum mechanics.Differential equations.Engineering Fluid Dynamics.Continuum Mechanics.Differential Equations.532.05101511876W05msc76A02msc76D03mscRuzicka Michaelauthttp://id.loc.gov/vocabulary/relators/aut65657MiAaPQMiAaPQMiAaPQBOOK9910146272103321Electrorheological fluids: modeling and mathematical theory262674UNINA