000 02713nam a22004575i 4500
001 978-3-0348-0367-0
003 DE-He213
005 20140220083254.0
007 cr nn 008mamaa
008 120803s2012 sz | s |||| 0|eng d
020 _a9783034803670
_9978-3-0348-0367-0
024 7 _a10.1007/978-3-0348-0367-0
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aPlotnikov, Pavel.
_eauthor.
245 1 0 _aCompressible Navier-Stokes Equations
_h[electronic resource] :
_bTheory and Shape Optimization /
_cby Pavel Plotnikov, Jan Sokołowski.
264 1 _aBasel :
_bSpringer Basel :
_bImprint: Birkhäuser,
_c2012.
300 _aXVI, 457 p. 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMonografie Matematyczne ;
_v73
505 0 _aPreface -- Introduction -- 1 Preliminaries -- 2 Physical background -- 3 Problem formulation -- 4 Basic statements -- 5 Nonstationary case. Existence theory -- 6 Pressure estimate -- 7 Kinetic theory. Fast density oscillations -- 8 Domain convergence -- 9 Flow around an obstacle. Domain dependence -- 10 Existence theory in nonsmooth domains -- 11 Sensitivity analysis. Shape gradient of the drag functional -- 12 Transport equations -- 13 Appendix -- Bibliography -- Notation -- Index.
520 _aThe book presents the modern state of the art in the mathematical theory of compressible Navier-Stokes equations, with particular emphasis on applications to aerodynamics. The topics covered include: modeling of compressible viscous flows; modern mathematical theory of nonhomogeneous boundary value problems for viscous gas dynamics equations; applications to optimal shape design in aerodynamics; kinetic theory for equations with oscillating data; new approach to the boundary value problems for transport equations. The monograph offers a comprehensive and self-contained introduction to recent mathematical tools designed to handle the problems arising in the theory.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aMathematical Physics.
700 1 _aSokołowski, Jan.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034803663
830 0 _aMonografie Matematyczne ;
_v73
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0367-0
912 _aZDB-2-SMA
999 _c101733
_d101733