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Initial-Boundary-Value Problems for the Stokes and Navier-Stokes Equations on Staggered Grids

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Release : 2000
Genre : Boundary value problems
Kind : eBook
Book Rating : 851/5 ( reviews)

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Book Synopsis Initial-Boundary-Value Problems for the Stokes and Navier-Stokes Equations on Staggered Grids by : Jonas Nilsson

Download or read book Initial-Boundary-Value Problems for the Stokes and Navier-Stokes Equations on Staggered Grids written by Jonas Nilsson. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:

Initial-Boundary Value Problems and the Navier-Stokes Equation

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Release : 2004-01-01
Genre : Science
Kind : eBook
Book Rating : 652/5 ( reviews)

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Book Synopsis Initial-Boundary Value Problems and the Navier-Stokes Equation by : Heinz-Otto Kreiss

Download or read book Initial-Boundary Value Problems and the Navier-Stokes Equation written by Heinz-Otto Kreiss. This book was released on 2004-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Initial-Boundary Value Problems and the Navier-Stokes Equations gives an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The book explains the principles of these subjects. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. Audience: when the book was written, the main intent was to write a text on initial-boundary value problems that was accessible to a rather wide audience. Functional analytical prerequisites were kept to a minimum or were developed in the book. Boundary conditions are analyzed without first proving trace theorems, and similar simplifications have been used throughout. This book continues to be useful to researchers and graduate students in applied mathematics and engineering.

Theory of the Navier-Stokes Equations

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Release : 1998
Genre : Mathematics
Kind : eBook
Book Rating : 006/5 ( reviews)

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Book Synopsis Theory of the Navier-Stokes Equations by : John Groves Heywood

Download or read book Theory of the Navier-Stokes Equations written by John Groves Heywood. This book was released on 1998. 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.

The Stokes Equations

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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).

The Initial-boundary Value Problem for the Navier-Stokes Equations in Regions with Moving Boundaries

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Release : 1963
Genre : Boundary value problems
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Book Synopsis The Initial-boundary Value Problem for the Navier-Stokes Equations in Regions with Moving Boundaries by : Jerome Odell Sather

Download or read book The Initial-boundary Value Problem for the Navier-Stokes Equations in Regions with Moving Boundaries written by Jerome Odell Sather. This book was released on 1963. Available in PDF, EPUB and Kindle. Book excerpt:

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