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

Format:

Book

Author/Creator:

Panasenko, Grigory, author.

Pileckas, Konstantin, author.

Series:

Advances in Mathematical Fluid Mechanics, 2297-0339

Language:

English

Subjects (All):

Mathematical physics.

Mathematical Physics.

Local Subjects:

Mathematical Physics.

Physical Description:

1 online resource (497 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.

Summary:

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.

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.

Notes:

Includes bibliographical references and index.

ISBN:

9783031546303

303154630X