Initial Boundary Value Problems And The Navier Stokes Equation
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Initial Boundary Value Problems And The Navier Stokes Equation
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Author : Heinz-Otto Kreiss
language : en
Publisher: SIAM
Release Date : 2004-01-01
Initial Boundary Value Problems And The Navier Stokes Equation written by Heinz-Otto Kreiss and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Science categories.
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.
Navier Stokes Equations In Planar Domains
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Author : Matania Ben-artzi
language : en
Publisher: World Scientific
Release Date : 2013-03-07
Navier Stokes Equations In Planar Domains written by Matania Ben-artzi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Mathematics categories.
This volume deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as “driven cavity” and “double-driven cavity”.A comprehensive treatment of the mathematical theory developed in the last 15 years is elaborated, heretofore never presented in other books. It gives a detailed account of the modern compact schemes based on a “pure streamfunction” approach. In particular, a complete proof of convergence is given for the full nonlinear problem.This volume aims to present a variety of numerical test problems. It is therefore well positioned as a reference for both theoretical and applied mathematicians, as well as a text that can be used by graduate students pursuing studies in (pure or applied) mathematics, fluid dynamics and mathematical physics./a
Initial Boundary Value Problems For The Stokes And Navier Stokes Equations On Staggered Grids
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Author : Jonas Nilsson
language : en
Publisher:
Release Date : 2000
Initial Boundary Value Problems For The Stokes And Navier Stokes Equations On Staggered Grids written by Jonas Nilsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Boundary value problems categories.
Navier Stokes Equations And Nonlinear Functional Analysis
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Author : Roger Temam
language : en
Publisher: SIAM
Release Date : 1995-01-01
Navier Stokes Equations And Nonlinear Functional Analysis written by Roger Temam and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Technology & Engineering categories.
This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.
A Unified Approach To Boundary Value Problems
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Author : Athanassios S. Fokas
language : en
Publisher: SIAM
Release Date : 2008-01-01
A Unified Approach To Boundary Value Problems written by Athanassios S. Fokas and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
This text presents a new approach to analysing initial-boundary value problems for integrable partial differential equations.
Boundary Value Problems Of Mathematical Physics
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Author : O. A. Ladyzhenskaya
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Boundary Value Problems Of Mathematical Physics written by O. A. Ladyzhenskaya and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Boundary value problems categories.
On An Initial Boundary Value Problem For The Parabolic System Which Appears In Free Boundary Problems For Compressible Navier Stokes Equations
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Author : Wojciech M. Zajączkowski
language : en
Publisher:
Release Date : 1990
On An Initial Boundary Value Problem For The Parabolic System Which Appears In Free Boundary Problems For Compressible Navier Stokes Equations 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 1990 with Boundary value problems categories.
Navier Stokes Equations
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Author : Roger Temam
language : en
Publisher: American Mathematical Soc.
Release Date : 2001-04-10
Navier Stokes Equations written by Roger Temam and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-10 with Mathematics categories.
Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.
Navier Stokes Equations
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Author : Grzegorz Łukaszewicz
language : en
Publisher: Springer
Release Date : 2018-04-22
Navier Stokes Equations written by Grzegorz Łukaszewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-22 with Mathematics categories.
This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier–Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier–Stokes equations. Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.