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020 _a9783031508981
_9978-3-031-50898-1
024 7 _a10.1007/978-3-031-50898-1
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
_2thema
100 1 _aKorobkov, Mikhail.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_973814
245 1 4 _aThe Steady Navier-Stokes System
_h[electronic resource] :
_bBasics of the Theory and the Leray Problem /
_cby Mikhail Korobkov, Konstantin Pileckas, Remigio Russo.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXVII, 285 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvances in Mathematical Fluid Mechanics,
_x2297-0339
505 0 _a1 Preliminaries -- 2 Stokes problem -- 3 Stationary Navier–Stokes problem in bounded domains -- 4 The case of symmetric two-dimensional domains. General outflow condition -- 5 The case of general two-dimensional domains and general outflow condition -- 6 The case of axially symmetric three-dimensional domains.
520 _aThis book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray’s problem on existence of a solution to the boundary value problem for the stationary Navier—Stokes system in bounded domains under sole condition of zero total flux. This marks the culmination of the authors' work over the past few years on this under-explored topic within the study of the Navier—Stokes equations. This book will be the first major work on the Navier—Stokes equations to explore Leray’s problem in detail. The results are presented with detailed proofs, as are the history of the problem and the previous approaches to finding a solution to it. In addition, for the reader’s convenience and for the self-sufficiency of the text, the foundations of the mathematical theory for incompressible fluid flows described by the steady state Stokes and Navier—Stokes systems are presented. For researchers in this active area, this book will be a valuable resource.
650 0 _aDifferential equations.
650 0 _aFunctional analysis.
650 1 4 _aDifferential Equations.
650 2 4 _aFunctional Analysis.
700 1 _aPileckas, Konstantin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_973815
700 1 _aRusso, Remigio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_973816
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031508974
776 0 8 _iPrinted edition:
_z9783031508998
776 0 8 _iPrinted edition:
_z9783031509001
830 0 _aAdvances in Mathematical Fluid Mechanics,
_x2297-0339
_972432
856 4 0 _uhttps://doi.org/10.1007/978-3-031-50898-1
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c58599
_d58599