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The steady Navier-Stokes systembasics of the theory and the Leray problem /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The steady Navier-Stokes systemby Mikhail Korobkov, Konstantin Pileckas, Remigio Russo.
Reminder of title:	basics of the theory and the Leray problem /
Author:	Korobkov, Mikhail.
other author:	Pileckas, Konstantin.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xvii, 285 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fluid mechanics.
Online resource:	https://doi.org/10.1007/978-3-031-50898-1
ISBN:	9783031508981$q(electronic bk.)

The steady Navier-Stokes systembasics of the theory and the Leray problem /
Korobkov, Mikhail.

The steady Navier-Stokes systembasics of the theory and the Leray problem /[electronic resource] :by Mikhail Korobkov, Konstantin Pileckas, Remigio Russo. - Cham :Springer Nature Switzerland :2024. - xvii, 285 p. :ill., digital ;24 cm. - Advances in mathematical fluid mechanics,2297-0339. - Advances in mathematical fluid mechanics..

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.

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.

ISBN: 9783031508981$q(electronic bk.)

Standard No.: 10.1007/978-3-031-50898-1doiSubjects--Topical Terms:

189003
Fluid mechanics.

LC Class. No.: QA901

Dewey Class. No.: 518.64

The steady Navier-Stokes systembasics of the theory and the Leray problem /
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520 $a 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.
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