03508nam 22007095 450 99646652120331620210913160853.03-540-44427-010.1007/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[electronic resource] /by Michael Ruzicka1st ed. 2000.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2000.1 online resource (XIV, 178 p.)Lecture Notes in Mathematics,0075-8434 ;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,0075-8434 ;1748Fluid mechanicsFluidsPartial differential equationsEngineering Fluid Dynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15044Fluid- and Aerodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21026Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Fluid mechanics.Fluids.Partial differential equations.Engineering Fluid Dynamics.Fluid- and Aerodynamics.Partial Differential Equations.532.05101511876W05msc76A02msc76D03mscRuzicka Michaelauthttp://id.loc.gov/vocabulary/relators/aut65657MiAaPQMiAaPQMiAaPQBOOK996466521203316Electrorheological fluids: modeling and mathematical theory262674UNISA