Multiscale Analysis of Viscous Flows in Thin Tube Structures
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Beschreibung
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.
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.
Presents an analysis of viscous flows in thin tube structures by leading experts in this active area Develops a multi-scale modeling method with applications to blood flow, pipelines, cooling systems, and more Appeals to a wide audience of mathematicians, bioengineers, and biophysicists
Autor*in
Grigory Panasenko
Themen in »Multiscale Analysis of Viscous Flows in Thin Tube Structures«
mathematical modeling Viscous flows Thin domains Blood flow modeling Blood vessel networks Multiscale modeling flows Multiscale analysis fluids Computational fluid mechanics Blood flow computations Pipeline flow modeling Navier-Stokes equations Newtonian rheology Holder function spaces Sobolev function spaces Poiseuille flows