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Navier-Stokes Equations and Nonlinear Functional Analysis

1995-01-01 Technology & Engineering
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Release : 1995-01-01
Genre : Technology & Engineering
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Book Rating : 050/5 ( reviews)

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Book Synopsis Navier-Stokes Equations and Nonlinear Functional Analysis by : Roger Temam

Download or read book Navier-Stokes Equations and Nonlinear Functional Analysis written by Roger Temam. This book was released on 1995-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and numerical analysis of the Navier-Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier-Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds. Inertial manifolds were first introduced under this name in 1985 and, since then, have been systematically studied for partial differential equations of the Navier-Stokes type. Inertial manifolds are a global version of central manifolds. When they exist they encompass the complete dynamics of a system, reducing the dynamics of an infinite system to that of a smooth, finite-dimensional one called the inertial system. Although the theory of inertial manifolds for Navier-Stokes equations is not complete at this time, there is already a very interesting and significant set of results which deserves to be known, in the hope that it will stimulate further research in this area. These results are reported in this edition.

Applied Analysis of the Navier-Stokes Equations

1995 Mathematics
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Release : 1995
Genre : Mathematics
Kind : eBook
Book Rating : 689/5 ( reviews)

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Book Synopsis Applied Analysis of the Navier-Stokes Equations by : Charles R. Doering

Download or read book Applied Analysis of the Navier-Stokes Equations written by Charles R. Doering. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.

Nonlinear Functional Analysis and Its Applications, Part 1

1986 Mathematics
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Release : 1986
Genre : Mathematics
Kind : eBook
Book Rating : 710/5 ( reviews)

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Book Synopsis Nonlinear Functional Analysis and Its Applications, Part 1 by : Felix E. Browder

Download or read book Nonlinear Functional Analysis and Its Applications, Part 1 written by Felix E. Browder. This book was released on 1986. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Nonlinear Analysis

2007-05-08 Mathematics
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Release : 2007-05-08
Genre : Mathematics
Kind : eBook
Book Rating : 969/5 ( reviews)

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Book Synopsis Applied Nonlinear Analysis by : Adélia Sequeira

Download or read book Applied Nonlinear Analysis written by Adélia Sequeira. This book was released on 2007-05-08. Available in PDF, EPUB and Kindle. Book excerpt: This book is meant as a present to honor Professor on the th occasion of his 70 birthday. It collects refereed contributions from sixty-one mathematicians from eleven countries. They cover many different areas of research related to the work of Professor including Navier-Stokes equations, nonlinear elasticity, non-Newtonian fluids, regularity of solutions of parabolic and elliptic problems, operator theory and numerical methods. The realization of this book could not have been made possible without the generous support of Centro de Matemática Aplicada (CMA/IST) and Fundação Calouste Gulbenkian. Special thanks are due to Dr. Ulrych for the careful preparation of the final version of this book. Last but not least, we wish to express our gratitude to Dr. for her invaluable assistance from the very beginning. This project could not have been successfully concluded without her enthusiasm and loving care for her father. On behalf of the editors ADÉLIA SEQUEIRA v honored by the Order of Merit of the Czech Republic by Václav Havel, President of the Czech Republic, on the October 28, 1998, Professor Emeritus of Mathematics at the Charles University in Prague, Presidential Research Professor at the Northern Illinois University and Doctor Honoris Causa at the Technical University of Dresden, has been enriching the Czech and world mathematics with his new ideas in the areas of partial differential equations, nonlinear functional analysis and applications of the both disciplines in continuum mechanics and hydrodynamics for more than forty years.

Navier–Stokes Equations

2016-04-12 Mathematics
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Release : 2016-04-12
Genre : Mathematics
Kind : eBook
Book Rating : 60X/5 ( reviews)

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Book Synopsis Navier–Stokes Equations by : Grzegorz Łukaszewicz

Download or read book Navier–Stokes Equations written by Grzegorz Łukaszewicz. This book was released on 2016-04-12. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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