02975nam 2200565 a 450 991043815930332120200306121411.01-283-91092-61-4614-5975-310.1007/978-1-4614-5975-0(CKB)2670000000278644(EBL)1082050(OCoLC)820026052(SSID)ssj0000799798(PQKBManifestationID)11480321(PQKBTitleCode)TC0000799798(PQKBWorkID)10763824(PQKB)11667624(DE-He213)978-1-4614-5975-0(MiAaPQ)EBC1082050(PPN)168304384(EXLCZ)99267000000027864420121015d2013 uy 0engur|n|---|||||txtccrMathematical tools for the study of the incompressible Navier-Stokes equations and related models /Franck Boyer, Pierre FabrieNew York Springer20131 online resource (537 p.)Applied mathematical sciences,0066-5452 ;v. 183Description based upon print version of record.1-4614-5974-5 Includes bibliographical references and index.Preface -- Contents -- The equations of fluid mechanics -- Analysis tools -- Sobolev spaces -- Steady Stokes equations -- Navier-Stokes equations for homogeneous fluids -- Nonhomogeneous fluids -- Boundary conditions modeling -- Classic differential operators -- Thermodynamics supplement -- References -- Index.The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject.Applied mathematical sciences (Springer-Verlag New York Inc.) ;v. 183.Navier-Stokes equationsNavier-Stokes equations.532.001515353Boyer Franck521822Fabrie Pierre521823MiAaPQMiAaPQMiAaPQBOOK9910438159303321Mathematical tools for the study of the incompressible Navier-Stokes equations and related models838182UNINA