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The Steady Navier-Stokes System : Basics of the Theory and the Leray Problem / by Mikhail Korobkov, Konstantin Pileckas, Remigio Russo.
Springer Nature - Springer Mathematics and Statistics eBooks 2024 English International Available online
View online- Format:
- Book
- Author/Creator:
- Korobkov, Mikhail, author.
- Pileckas, Konstantin, author.
- Russo, Remigio, author.
- Series:
- Advances in Mathematical Fluid Mechanics, 2297-0339
- Language:
- English
- Subjects (All):
- Differential equations.
- Functional analysis.
- Differential Equations.
- Functional Analysis.
- Local Subjects:
- Differential Equations.
- Functional Analysis.
- Physical Description:
- 1 online resource (XVII, 285 p. 1 illus.)
- Edition:
- 1st ed. 2024.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
- Summary:
- This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray’s problem on existence of a solution to the boundary value problem for the stationary Navier—Stokes system in bounded domains under sole condition of zero total flux. This marks the culmination of the authors' work over the past few years on this under-explored topic within the study of the Navier—Stokes equations. This book will be the first major work on the Navier—Stokes equations to explore Leray’s problem in detail. The results are presented with detailed proofs, as are the history of the problem and the previous approaches to finding a solution to it. In addition, for the reader’s convenience and for the self-sufficiency of the text, the foundations of the mathematical theory for incompressible fluid flows described by the steady state Stokes and Navier—Stokes systems are presented. For researchers in this active area, this book will be a valuable resource.
- Contents:
- 1 Preliminaries
- 2 Stokes problem
- 3 Stationary Navier–Stokes problem in bounded domains
- 4 The case of symmetric two-dimensional domains. General outflow condition
- 5 The case of general two-dimensional domains and general outflow condition
- 6 The case of axially symmetric three-dimensional domains.
- Notes:
- Includes bibliographical references.
- ISBN:
- 9783031508981
- 303150898X
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