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The Steady Navier-Stokes System, 1 Ed.
出版済み 3週間でお届けいたします。
Basics of the Theory and the Leray Problem Series: Advances in Mathematical Fluid Mechanics Author: Mikhail Korobkov; Konstantin Pileckas; Remigio Russo Publisher: Springer ISBN: 9783031508974 Cover: HARDCOVER Date: 2024年03月 DESCRIPTION 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. TABLE OF 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.
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