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Global Special Regular Solutions To The Navier Stokes Equations In Axially Symmetric Domains Under Boundary Slip Conditions


Global Special Regular Solutions To The Navier Stokes Equations In Axially Symmetric Domains Under Boundary Slip Conditions
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Global Special Regular Solutions To The Navier Stokes Equations In Axially Symmetric Domains Under Boundary Slip Conditions


Global Special Regular Solutions To The Navier Stokes Equations In Axially Symmetric Domains Under Boundary Slip Conditions
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Author : Wojciech M. Zajączkowski
language : en
Publisher:
Release Date : 2005

Global Special Regular Solutions To The Navier Stokes Equations In Axially Symmetric Domains Under Boundary Slip Conditions written by Wojciech M. Zajączkowski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Boundary value problems categories.




The Large Flux Problem To The Navier Stokes Equations


The Large Flux Problem To The Navier Stokes Equations
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Author : Joanna Rencławowicz
language : en
Publisher: Springer Nature
Release Date : 2019-12-09

The Large Flux Problem To The Navier Stokes Equations written by Joanna Rencławowicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-09 with Mathematics categories.


This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. To accomplish this, some assumptions are necessary: The flux is close to homogeneous, and the initial velocity and the external force do not change too much along the axis of the cylinder. This is achieved by utilizing a sophisticated method of deriving energy type estimates for weak solutions and global estimates for regular solutions—an approach that is wholly unique within the existing literature on the Navier-Stokes equations. To demonstrate these results, three main steps are followed: first, the existence of weak solutions is shown; next, the conditions guaranteeing the regularity of weak solutions are presented; and, lastly, global regular solutions are proven. This volume is ideal for mathematicians whose work involves the Navier-Stokes equations, and, more broadly, researchers studying fluid mechanics.



Global Special Regular Solutions To The Navier Stokes Equations In A Cylindrical Domain Under Boundary Slip Conditions


Global Special Regular Solutions To The Navier Stokes Equations In A Cylindrical Domain Under Boundary Slip Conditions
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Author : Wojciech M. Zajaczkowski
language : en
Publisher:
Release Date : 2004-11

Global Special Regular Solutions To The Navier Stokes Equations In A Cylindrical Domain Under Boundary Slip Conditions written by Wojciech M. Zajaczkowski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11 with categories.




On Global Special Solutions For Navier Stokes Equations With Boundary Slip Conditions In A Cylindrical Domain Existence


On Global Special Solutions For Navier Stokes Equations With Boundary Slip Conditions In A Cylindrical Domain Existence
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Author : Wojciech Marek Zajączkowski
language : en
Publisher:
Release Date : 2001

On Global Special Solutions For Navier Stokes Equations With Boundary Slip Conditions In A Cylindrical Domain Existence written by Wojciech Marek Zajączkowski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.




On Global Special Solutions For Navier Stokes Equations With Boundary Slip Conditions In A Cylindrical Domain Existence


On Global Special Solutions For Navier Stokes Equations With Boundary Slip Conditions In A Cylindrical Domain Existence
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Author : Wojciech M. Zajączkowski (Mathématicien.)
language : en
Publisher:
Release Date : 2001

On Global Special Solutions For Navier Stokes Equations With Boundary Slip Conditions In A Cylindrical Domain Existence written by Wojciech M. Zajączkowski (Mathématicien.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.




Topological Methods In Nonlinear Analysis


Topological Methods In Nonlinear Analysis
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Author :
language : en
Publisher:
Release Date : 2007

Topological Methods In Nonlinear Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Nonlinear functional analysis categories.




Annales Polonici Mathematici


Annales Polonici Mathematici
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Author :
language : en
Publisher:
Release Date : 2005

Annales Polonici Mathematici written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.




The Steady Navier Stokes System


The Steady Navier Stokes System
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Author : Mikhail Korobkov
language : en
Publisher: Springer Nature
Release Date : 2024

The Steady Navier Stokes System written by Mikhail Korobkov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Differential equations categories.


Zusammenfassung: 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



Parabolic And Navier Stokes Equations


Parabolic And Navier Stokes Equations
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Author :
language : en
Publisher:
Release Date : 2008

Parabolic And Navier Stokes Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differential equations, Parabolic categories.




Dissertationes Mathematicae


Dissertationes Mathematicae
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Author :
language : en
Publisher:
Release Date : 2005

Dissertationes Mathematicae written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.