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＜電子ブック＞
The Steady Navier-Stokes System : Basics of the Theory and the Leray Problem / by Mikhail Korobkov, Konstantin Pileckas, Remigio Russo
(Advances in Mathematical Fluid Mechanics. ISSN:22970339)

版	1st ed. 2024.
出版者	(Cham : Springer Nature Switzerland : Imprint: Birkhäuser)
出版年	2024
本文言語	英語
大きさ	XVII, 285 p. 1 illus : online resource
著者標目	*Korobkov, Mikhail author Pileckas, Konstantin author Russo, Remigio author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Functional analysis FREE:Differential Equations FREE:Functional Analysis
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-031-50898-1

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