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Multiscale analysis of viscous flows in thin tube structures

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Multiscale analysis of viscous flows in thin tube structuresby Grigory Panasenko, Konstantin Pileckas.
作者:	Panasenko, Grigory.
其他作者:	Pileckas, Konstantin.
出版者:	Cham :Springer Nature Switzerland :2024.
面頁冊數:	xiii, 488 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Viscous flowMathematical models.
電子資源:	https://doi.org/10.1007/978-3-031-54630-3
ISBN:	9783031546303$q(electronic bk.)

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$q(electronic bk.)

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

722536
Viscous flow
--Mathematical models.

LC Class. No.: TA357.5.V56

Dewey Class. No.: 532.0533

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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 722536
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