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Multiscale Analysis of Viscous Flows in Thin Tube Structures
Hardcover
Series: Advances in Mathematical Fluid Mechanics
ISBN13: 9783031546297
Publisher: Birkhauser
Published: Jul 5 2024
Pages: 488
Weight: 1.93
Height: 1.06 Width: 6.14 Depth: 9.21
Language: English
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.
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