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The Steady Navier-Stokes System: Basics of the Theory and the Leray Problem (en Inglés)
Mikhail Korobkov
(Autor)
·
Konstantin Pileckas
(Autor)
·
Remigio Russo
(Autor)
·
Birkhauser
· Tapa Dura
The Steady Navier-Stokes System: Basics of the Theory and the Leray Problem (en Inglés) - Korobkov, Mikhail ; Pileckas, Konstantin ; Russo, Remigio
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Reseña del libro "The Steady Navier-Stokes System: Basics of the Theory and the Leray Problem (en Inglés)"
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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