03026nam a22005055i 4500 978-3-031-54630-3 DE-He213 20251030112611.0 cr nn 008mamaa 240704s2024 sz | s |||| 0|eng d 9783031546303 978-3-031-54630-3 10.1007/978-3-031-54630-3 doi QC19.2-20.85 PHU bicssc SCI040000 bisacsh PHU thema Panasenko, Grigory. author. aut http://id.loc.gov/vocabulary/relators/aut 79954 Multiscale Analysis of Viscous Flows in Thin Tube Structures [electronic resource] / by Grigory Panasenko, Konstantin Pileckas. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XIII, 488 p. 29 illus., 17 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Advances in Mathematical Fluid Mechanics, 2297-0339 Preface -- 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. This 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. Mathematical physics. Mathematical Physics. Pileckas, Konstantin. author. aut http://id.loc.gov/vocabulary/relators/aut 73815 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031546297 Printed edition: 9783031546310 Printed edition: 9783031546327 Advances in Mathematical Fluid Mechanics, 2297-0339 72432 https://doi.org/10.1007/978-3-031-54630-3 ZDB-2-SMA ZDB-2-SXMS 61302 61302