02689nam a22004215i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001700153072001600170072002300186072001500209100008100224245013400305250001800439264007300457300006600530336002600596337002600622338003600648347002400684490005700708505029300765520080301058650002601861650002601887700008301913710003401996773002602030776003602056776003602092776003602128830005702164856004602221978-3-031-54630-3DE-He21320251030112611.0cr nn 008mamaa240704s2024    sz |    s    |||| 0|eng d  a97830315463037 a10.1007/978-3-031-54630-32doi 4aQC19.2-20.85 7aPHU2bicssc 7aSCI0400002bisacsh 7aPHU2thema1 aPanasenko, Grigory.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aMultiscale Analysis of Viscous Flows in Thin Tube Structuresh[electronic resource] /cby Grigory Panasenko, Konstantin Pileckas.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Birkhäuser,c2024.  aXIII, 488 p. 29 illus., 17 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aAdvances in Mathematical Fluid Mechanics,x2297-03390 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.  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. 0aMathematical physics.14aMathematical Physics.1 aPileckas, Konstantin.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303154629708iPrinted edition:z978303154631008iPrinted edition:z9783031546327 0aAdvances in Mathematical Fluid Mechanics,x2297-033940uhttps://doi.org/10.1007/978-3-031-54630-3