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020 _a9783031546303
_9978-3-031-54630-3
024 7 _a10.1007/978-3-031-54630-3
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
100 1 _aPanasenko, Grigory.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979954
245 1 0 _aMultiscale Analysis of Viscous Flows in Thin Tube Structures
_h[electronic resource] /
_cby Grigory Panasenko, Konstantin Pileckas.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXIII, 488 p. 29 illus., 17 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 _aAdvances in Mathematical Fluid Mechanics,
_x2297-0339
505 0 _aPreface -- Introduction -- Preliminaries -- Poiseuille Flows -- Stokes Problem and Stokes Operator -- Steady-State Stokes and Navier–Stokes Equations in Tube Structures -- Nonstationary Navier–Stokes Equations -- Time-Periodic Case -- Bibliographical Remarks -- Bibliography -- Index.
520 _aThis book presents the analysis of viscous flows in thin tube structures, and develops a multi-scale method for modeling blood flow. For the reader’s convenience, the authors introduce all necessary notions and theorems from functional analysis and the classical theory of the Navier-Stokes equations. The problems of all asymptotic methods used in the book are explained as well, such as the dimension reduction and the boundary layer method. Through several numerical experiments, readers will discover that the proposed methods are more flexible than the theoretically predicted conditions. Multiscale Analysis of Viscous Flows in Thin Tube Structures will be a valuable resource for a wide range of readers, including applied mathematicians, specialists in bio-engineering, and biophysicists.
650 0 _aMathematical physics.
650 1 4 _aMathematical Physics.
700 1 _aPileckas, Konstantin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_973815
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031546297
776 0 8 _iPrinted edition:
_z9783031546310
776 0 8 _iPrinted edition:
_z9783031546327
830 0 _aAdvances in Mathematical Fluid Mechanics,
_x2297-0339
_972432
856 4 0 _uhttps://doi.org/10.1007/978-3-031-54630-3
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c61302
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