000 02843nam a22004815i 4500
001 978-1-4614-5975-0
003 DE-He213
005 20140220082822.0
007 cr nn 008mamaa
008 121116s2013 xxu| s |||| 0|eng d
020 _a9781461459750
_9978-1-4614-5975-0
024 7 _a10.1007/978-1-4614-5975-0
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aBoyer, Franck.
_eauthor.
245 1 0 _aMathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models
_h[electronic resource] /
_cby Franck Boyer, Pierre Fabrie.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXIII, 525 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v183
505 0 _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.-.
520 _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.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aHydraulic engineering.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aEngineering Fluid Dynamics.
650 2 4 _aFluid- and Aerodynamics.
700 1 _aFabrie, Pierre.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461459743
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v183
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-5975-0
912 _aZDB-2-SMA
999 _c95552
_d95552