TY  - BOOK
AU  - Panasenko,Grigory
AU  - Pileckas,Konstantin
ED  - SpringerLink (Online service)
TI  - Multiscale Analysis of Viscous Flows in Thin Tube Structures
T2  - Advances in Mathematical Fluid Mechanics,
SN  - 9783031546303
AV  - QC19.2-20.85 
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Birkhäuser
KW  - Mathematical physics
KW  - Mathematical Physics
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-54630-3
ER  -