
Multiscale Analysis of Viscous Flows in Thin Tube Structures
Series: Advances in Mathematical Fluid Mechanics;
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Product details:
- Edition number 2024
- Publisher Birkhäuser
- Date of Publication 5 July 2024
- Number of Volumes 1 pieces, Book
- ISBN 9783031546297
- Binding Hardback
- No. of pages488 pages
- Size 235x155 mm
- Language English
- Illustrations 12 Illustrations, black & white; 17 Illustrations, color 0
Categories
Short description:
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.
MoreLong description:
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.