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Author : Myong Hwan Ri
Release : 2006
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Stokes Operator and Stability of Stationary Navier-Stokes Flows in Infinite Cylindrical Domains by : Myong Hwan Ri
Download or read book Stokes Operator and Stability of Stationary Navier-Stokes Flows in Infinite Cylindrical Domains written by Myong Hwan Ri. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John G Heywood
Release : 1998-05-30
Genre : Science
Kind : eBook
Book Rating : 782/5 ( reviews)
Book Synopsis Theory Of The Navier-stokes Equations by : John G Heywood
Download or read book Theory Of The Navier-stokes Equations written by John G Heywood. This book was released on 1998-05-30. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the articles presented at the Third International Conference on “The Navier-Stokes Equations: Theory and Numerical Methods”, held in Oberwolfach, Germany. The articles are important contributions to a wide variety of topics in the Navier-Stokes theory: general boundary conditions, flow exterior to an obstacle, conical boundary points, the controllability of solutions, compressible flow, non-Newtonian flow, magneto-hydrodynamics, thermal convection, the interaction of fluids with elastic solids, the regularity of solutions, and Rothe's method of approximation.
Author : Mikhail Korobkov
Release : 2024
Genre : Differential equations
Kind : eBook
Book Rating : 98X/5 ( reviews)
Book Synopsis The Steady Navier-Stokes System by : Mikhail Korobkov
Download or read book The Steady Navier-Stokes System written by Mikhail Korobkov. This book was released on 2024. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Werner Varnhorn
Release : 1994
Genre : Mathematics
Kind : eBook
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Book Synopsis The Stokes Equations by : Werner Varnhorn
Download or read book The Stokes Equations written by Werner Varnhorn. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt: The present book consists of three parts. In the first part a theory of solvability for the stationary Stokes equations in exterior domains is developed. We prove existence of strong solutions in Sobolev spaces and use a localisation principle and the divergence equation to deduce further properties of the solution (uniqueness, asymptotics).
Author : Matthias Heß
Release : 2009-11-30
Genre :
Kind : eBook
Book Rating : 046/5 ( reviews)
Book Synopsis Analysis of the Navier-Stokes Equations for Geophysical Boundary Layers by : Matthias Heß
Download or read book Analysis of the Navier-Stokes Equations for Geophysical Boundary Layers written by Matthias Heß. This book was released on 2009-11-30. Available in PDF, EPUB and Kindle. Book excerpt: The Navier-Stokes equations are the fundamental model for the mathematical analysis of incompressible viscous fluids. In this text, a modification of this system of partial differential equations representing the situation of geophysical flows is investigated. An important mathematical model of geophysical boundary layers is the Ekman spiral, which is a stationary solution of the modified Navier-Stokes equations. Its long-time behaviour is of certain interest in natural sciences. Here, the stability of the Ekman spiral is shown in three-dimensional halfspaces and infinite layers in the case of a small Reynolds number of the according hydrodynamical system. The problem of maximal regularity of the Stokes operator in bounded and exterior domains with smooth boundary is also discussed
