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  • Multiscale Analysis of Viscous Flows in Thin Tube Structures

    Multiscale Analysis of Viscous Flows in Thin Tube Structures by Panasenko, Grigory; Pileckas, Konstantin;

    Series: Advances in Mathematical Fluid Mechanics;

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      • Publisher's listprice EUR 171.19
      • The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.

        72 618 Ft (69 160 Ft + 5% VAT)
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      • Discounted price 66 809 Ft (63 627 Ft + 5% VAT)

    72 618 Ft

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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
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    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.

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    Long 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.

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    Table of Contents:

    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.

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