03255nam 22006375 450 991025406620332120200704092638.03-319-39330-810.1007/978-3-319-39330-8(CKB)3710000000765136(DE-He213)978-3-319-39330-8(MiAaPQ)EBC6310454(MiAaPQ)EBC5576435(Au-PeEL)EBL5576435(OCoLC)955296935(PPN)194515354(EXLCZ)99371000000076513620160729d2016 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierMechanics and Mathematics of Fluids of the Differential Type /by D. Cioranescu, V. Girault, K.R. Rajagopal1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (VIII, 394 p. 16 illus.)Advances in Mechanics and Mathematics,1571-8689 ;353-319-39329-4 Includes bibliographical references and index.Introduction -- Mechanics -- Mathematical Preliminaries -- Classical Non-Newtonian Fluids -- Grade-two Fluids: Some Theoretical Results -- Short Survey on the Theory of Grade-three Fluids -- Appendix.This text is the first of its kind to bring together both the thermomechanics and mathematical analysis of Reiner-Rivlin fluids and fluids of grades 2 and 3 in a single book. Each part of the book can be considered as being self-contained. The first part of the book is devoted to a description of the mechanics, thermodynamics, and stability of flows of fluids of grade 2 and grade 3. The second part of the book is dedicated to the development of rigorous mathematical results concerning the equations governing the motion of a family of fluids of the differential type. Finally, the proofs of a number of useful results are collected in an appendix.Advances in Mechanics and Mathematics,1571-8689 ;35Mathematical physicsDifferential equations, PartialFluidsMathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Fluid- and Aerodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21026Mathematical physics.Differential equations, Partial.Fluids.Mathematical Physics.Partial Differential Equations.Fluid- and Aerodynamics.532Cioranescu Dauthttp://id.loc.gov/vocabulary/relators/aut42888Girault Vauthttp://id.loc.gov/vocabulary/relators/autRajagopal K.Rauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254066203321Mechanics and Mathematics of Fluids of the Differential Type2169023UNINA