LEADER 02975nam 2200565 a 450 001 9910438159303321 005 20200306121411.0 010 $a1-283-91092-6 010 $a1-4614-5975-3 024 7 $a10.1007/978-1-4614-5975-0 035 $a(CKB)2670000000278644 035 $a(EBL)1082050 035 $a(OCoLC)820026052 035 $a(SSID)ssj0000799798 035 $a(PQKBManifestationID)11480321 035 $a(PQKBTitleCode)TC0000799798 035 $a(PQKBWorkID)10763824 035 $a(PQKB)11667624 035 $a(DE-He213)978-1-4614-5975-0 035 $a(MiAaPQ)EBC1082050 035 $a(PPN)168304384 035 $a(EXLCZ)992670000000278644 100 $a20121015d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical tools for the study of the incompressible Navier-Stokes equations and related models /$fFranck Boyer, Pierre Fabrie 210 $aNew York $cSpringer$d2013 215 $a1 online resource (537 p.) 225 1 $aApplied mathematical sciences,$x0066-5452 ;$vv. 183 300 $aDescription based upon print version of record. 311 $a1-4614-5974-5 320 $aIncludes bibliographical references and index. 327 $aPreface -- 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. 330 $aThe objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors? aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. 410 0$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$vv. 183. 606 $aNavier-Stokes equations 615 0$aNavier-Stokes equations. 676 $a532.001515353 700 $aBoyer$b Franck$0521822 701 $aFabrie$b Pierre$0521823 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438159303321 996 $aMathematical tools for the study of the incompressible Navier-Stokes equations and related models$9838182 997 $aUNINA