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Multiscale analysis of viscous flows in thin tube structures

Record Type:	Electronic resources : Monograph/item
Title/Author:	Multiscale analysis of viscous flows in thin tube structures/ by Grigory Panasenko, Konstantin Pileckas.
Author:	Panasenko, Grigory.
other author:	Pileckas, Konstantin.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xiii, 488 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Viscous flow - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-031-54630-3
ISBN:	9783031546303

Multiscale analysis of viscous flows in thin tube structures
Panasenko, Grigory.

Multiscale analysis of viscous flows in thin tube structures[electronic resource] /by Grigory Panasenko, Konstantin Pileckas. - Cham :Springer Nature Switzerland :2024. - xiii, 488 p. :ill. (some col.), digital ;24 cm. - Advances in mathematical fluid mechanics,2297-0339. - Advances in mathematical fluid mechanics..

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.

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.

ISBN: 9783031546303

Standard No.: 10.1007/978-3-031-54630-3doiSubjects--Topical Terms:

2148363
Viscous flow
--Mathematical models.

LC Class. No.: TA357.5.V56

Dewey Class. No.: 532.0533

Multiscale analysis of viscous flows in thin tube structures
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100 1 $a Panasenko, Grigory. $3 3719464
245 1 0 $a Multiscale analysis of viscous flows in thin tube structures $h [electronic resource] / $c by Grigory Panasenko, Konstantin Pileckas.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2024.
300 $a xiii, 488 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Advances in mathematical fluid mechanics, $x 2297-0339
505 0 $a 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.
520 $a 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.
650 0 $a Viscous flow $x Mathematical models. $3 2148363
650 0 $a Multiscale modeling. $3 1530628
650 1 4 $a Mathematical Physics. $3 1542352
700 1 $a Pileckas, Konstantin. $3 3716096
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Advances in mathematical fluid mechanics. $3 2057138
856 4 0 $u https://doi.org/10.1007/978-3-031-54630-3
950 $a Mathematics and Statistics (SpringerNature-11649)